RESULTANT VECTOR | Quizalize

Vectors(Resultant Force)-Pure Phy(1001 MCQ and TYS)

Determining Resultant of Vectors in Single and 2 Dimensions

What is Electric Force? Electric force is just one of many types of forces in the world of physics. Forces are how and why things move, and can be explained by Newton's Laws of Motion. On the smallest scale, electric force is the resulting interaction between two charged particles. These charges can be either positive or negative. Larger objects can be charged by having an abundance of either of these particles, and therefore can create an electric force on a larger scale. Electric force is the reason why hair will sometimes stand up on its own and is also why we have electricity, allowing us to live in the modern world with lights and technology. Even out in nature electric force is present, as electric force causes lightning to strike. Electric force is fundamental to our everyday way of living. Reviewing Newton's Laws of Motion Newton's Laws of motion are the basic principles or ground rules that are applied all across physics. They describe how objects move and can be used to describe the interaction of charges. They are the following: An object in motion will stay in motion unless an external force is applied The force exerted on an object is equal to the mass times the acceleration of the object. ( ) Every force has an equal and opposite force Newton's laws explain how and why charged particles move. Since there is a force involved (e.g. electric force), particles will move around, which is explained by the first law. The second law describes how acceleration of charges can be calculated once the electric force is known. The third law explains how attractive and repulsive forces between charged objects are equal and opposite. Electric Force Examples and Types of Charge As previously mentioned, there are only two types of charges; positive and negative. Two like charges will repel (or move away from) each other, and two opposite charges will attract (or move towards) each other. In other words, two positive or two negative charges will repel, while a positive and a negative charge will attract. Opposite charges will attract while like charges will repel. Attraction versus Repelling Forces Notice how the forces acting upon each other are equal and opposite, as Newton's third law states. Both charges are exerting forces onto each other. Charges in Atoms An atom is made up of three types of particles; protons, neutrons, and electrons. Protons have a positive charge, neutrons have no charge, and electrons have a negative charge. There are no positive or negative charges smaller than protons and electrons. Objects on a larger scale result in an overall positive or negative charged due to an uneven distribution of protons to electrons. An atom consisting of more protons than electrons would be considered positive, and an atom with more electrons than protons would be considered negative. Protons are held close to the nucleus and are tightly bound to an atom, so it's difficult for protons to escape an atom. Electrons, on the other hand, are much further away from the nucleus of an atom. This makes it much easier for them to be removed from an atom. Electrons can leave or join atoms, making them positive or negative depending on the amount of protons. Similarly, for the bigger picture, overall materials and objects with more electrons than protons would be considered negative, and vice versa. Electric Force Examples Hair standing up: When hair is brushed, the hairbrush can strip electrons from hair strands, resulting in the hair being positively charged. This addition of electrons to the hairbrush in turn makes the hairbrush negatively charged. Since the hair is now positively charged, and like forces repel, hair strands will move away from each other, resulting in the hair standing up. Current electricity: All of our everyday technology is powered through current electricity, which is the consistent flow of electrons through conductive materials. This flow is caused by the electric force, as the electrons flow from a negative source to a positive source. Lightning: During a storm, it is common for an abundance of electrons to build up on the bottom of a cloud, making that part of the cloud negatively charged. Positive charges in the ground start to gather on the surface or even on tall objects such as trees as they are attracted towards the negatively charged undersides of clouds. Lightning strikes as a result of these charges becoming extremely built up. Lightning is caused by electric force Lightning Electric Force Equation: Coulomb's Law The magnitude of the electric force, or the amount of force in which objects repel or attract, depends on the distance between the two charged objects and the amount of charge each object carries. The electric force is stronger the closer together the two charges are, and weaker as the two charges move apart. Electric force is also stronger with more charge, and weaker with less charge. This effect on electric force is predictable, and is known as Coulomb's Law. It can be calculated using a mathematical equation, and the resulting magnitude of electric force is measured in Newtons. Coulomb's Law Electric force can be calculated using the following equation known as Coulomb's Law: In this equation, F is the electric force measured in newtons, K is a constant known as the electrostatic constant, and are charges one and two measured in coulombs, and is the radial distance in meters between the two charges. Since the distance is squared and on the denominator, the electric force drops off exponentially as charges move away from each other. This means that the Electric force is inversely proportional to distance. As charges move away from each other, the electric force between them gets smaller and smaller, until the force is negligible. The amount of charges are in the numerator of this equation, making the magnitude of the force larger with more charge. This means that the force is directly proportional to the amount of charge. When the charges are smaller, the amount of force will be smaller. When there is a lot of charge, the force will be much greater. When calculating the electric force using Coulomb's law, the resulting answer only gives the magnitude of the force and not the direction. In order to know the direction, you must know the types of charges. Once again, like forces repel, and unlike forces attract. It helps to draw a visual representation, or a free-body diagram, of the charges and forces acting upon them in order to understand the resulting force direction. Electric Field versus Electric Force An electric field is a direct result of an electric force. Its pure definition is electric force per unit charge, and can be thought of as a mapping of the force vectors. An electric field is present anytime there is an electric force. Therefore, when there are two or more charged particles, there is a surrounding electric field. The direction of the electric field is the direction a positive charge would flow if it were placed within the field. The electric field moves out from a positive charge and goes into a negative charge. Particles with unlike charges move towards each other, and their corresponding electric field lines move out from the positive charge and into the negative charge. The strength of the force at any given point can be seen through the spacing of the electric field lines. The electric force is strongest where the electric field lines are closest together, and weaker as these lines move apart. Like Coulomb's law expresses, electric field lines show how the electric force is strongest with a minimum distance between the two charges. Unlike charges will result in a repelling force, and the resulting electric field is a visual representation of this effect. Electric fields of two positive charges have the electric field moving out away from both of them. As with two negative charges, the field lines move in towards each negative. Lesson Summary An electric force is created when there are two or more charged particles or objects. These charges can be either positive or negative. Like charges will attract (move towards each other) while unlike charges will repel (move away from each other). As Newton's third law suggests, the forces acting upon each other are both equal and opposite. Electrons and protons within an atom are the two smallest types of charges there are. Electrons carry a negative charge while protons carry a positive charge. Electrons can be easily removed or added to atoms, making the overall charge positive or negative. Objects with more electrons than protons are negatively charged. Electric force is strengthened with increased charge and a shorter distance between the charges. This effect is known as Coulomb's law and can be calculated with the Coulomb's law equation. The magnitude of the force is measured in Newtons, and the direction can be determined by knowing whether the charges are attracting or repelling each other. An electric field is present wherever there is an electric force. The direction of this electric field is the direction a positive charge would flow if it where to be dropped in the field, which is from the positive to the negative.

Understanding Quantum Theory of Electrons in Atoms The goal of this section is to understand the electron orbitals (location of electrons in atoms), their different energies, and other properties. The use of quantum theory provides the best understanding to these topics. This knowledge is a precursor to chemical bonding. As was described previously, electrons in atoms can exist only on discrete energy levels but not between them. It is said that the energy of an electron in an atom is quantized, that is, it can be equal only to certain specific values and can jump from one energy level to another but not transition smoothly or stay between these levels. The energy levels are labeled with an n value, where n = 1, 2, 3, …. Generally speaking, the energy of an electron in an atom is greater for greater values of n. This number, n, is referred to as the principal quantum number. The principal quantum number defines the location of the energy level. It is essentially the same concept as the n in the Bohr atom description. Another name for the principal quantum number is the shell number. The shells of an atom can be thought of concentric circles radiating out from the nucleus. The electrons that belong to a specific shell are most likely to be found within the corresponding circular area. The further we proceed from the nucleus, the higher the shell number, and so the higher the energy level (Figure 9.4.1). The positively charged protons in the nucleus stabilize the electronic orbitals by electrostatic attraction between the positive charges of the protons and the negative charges of the electrons. So the further away the electron is from the nucleus, the greater the energy it has. This quantum mechanical model for where electrons reside in an atom can be used to look at electronic transitions, the events when an electron moves from one energy level to another. If the transition is to a higher energy level, energy is absorbed, and the energy change has a positive value. To obtain the amount of energy necessary for the transition to a higher energy level, a photon is absorbed by the atom. A transition to a lower energy level involves a release of energy, and the energy change is negative. This process is accompanied by emission of a photon by the atom. The following equation summarizes these relationships and is based on the hydrogen atom: The values nf and ni are the final and initial energy states of the electron. The principal quantum number is one of three quantum numbers used to characterize an orbital. An atomic orbital, which is distinct from an orbit, is a general region in an atom within which an electron is most probable to reside. The quantum mechanical model specifies the probability of finding an electron in the three-dimensional space around the nucleus and is based on solutions of the Schrödinger equation. In addition, the principal quantum number defines the energy of an electron in a hydrogen or hydrogen-like atom or an ion (an atom or an ion with only one electron) and the general region in which discrete energy levels of electrons in a multi-electron atoms and ions are located. Another quantum number is l, the angular momentum quantum number. It is an integer that defines the shape of the orbital, and takes on the values, l = 0, 1, 2, …, n – 1. This means that an orbital with n = 1 can have only one value of l, l = 0, whereas n = 2 permits l = 0 and l = 1, and so on. The principal quantum number defines the general size and energy of the orbital. The l value specifies the shape of the orbital. Orbitals with the same value of l form a subshell. In addition, the greater the angular momentum quantum number, the greater is the angular momentum of an electron at this orbital. Orbitals with l = 0 are called s orbitals (or the s subshells). The value l = 1 corresponds to the p orbitals. For a given n, p orbitals constitute a p subshell (e.g., 3p if n = 3). The orbitals with l = 2 are called the d orbitals, followed by the f-, g-, and h-orbitals for l = 3, 4, 5, and there are higher values we will not consider. There are certain distances from the nucleus at which the probability density of finding an electron located at a particular orbital is zero. In other words, the value of the wavefunction ψ is zero at this distance for this orbital. Such a value of radius r is called a radial node. The number of radial nodes in an orbital is n – l – 1. Consider the examples in Figure 9.4.2. The orbitals depicted are of the s type, thus l = 0 for all of them. It can be seen from the graphs of the probability densities that there are 1 – 0 – 1 = 0 places where the density is zero (nodes) for 1s (n = 1), 2 – 0 – 1 = 1 node for 2s, and 3 – 0 – 1 = 2 nodes for the 3s orbitals. The s subshell electron density distribution is spherical and the p subshell has a dumbbell shape. The d and f orbitals are more complex. These shapes represent the three-dimensional regions within which the electron is likely to be found. Principal quantum number (n) & Orbital angular momentum (l): The Orbital Subshell: https://youtu.be/ms7WR149fAY If an electron has an angular momentum (l ≠ 0), then this vector can point in different directions. In addition, the z component of the angular momentum can have more than one value. This means that if a magnetic field is applied in the z direction, orbitals with different values of the z component of the angular momentum will have different energies resulting from interacting with the field. The magnetic quantum number, called ml, specifies the z component of the angular momentum for a particular orbital. For example, for an s orbital, l = 0, and the only value of ml is zero. For p orbitals, l = 1, and ml can be equal to –1, 0, or +1. Generally speaking, ml can be equal to –l, –(l – 1), …, –1, 0, +1, …, (l – 1), l. The total number of possible orbitals with the same value of l (a subshell) is 2l + 1. Thus, there is one s-orbital for ml = 0, there are three p-orbitals for ml = 1, five d-orbitals for ml = 2, seven f-orbitals for ml = 3, and so forth. The principal quantum number defines the general value of the electronic energy. The angular momentum quantum number determines the shape of the orbital. And the magnetic quantum number specifies orientation of the orbital in space, as can be seen in Figure 9.4.3. Figure 9.4.4 illustrates the energy levels for various orbitals. The number before the orbital name (such as 2s, 3p, and so forth) stands for the principal quantum number, n. The letter in the orbital name defines the subshell with a specific angular momentum quantum number l = 0 for s orbitals, 1 for p orbitals, 2 for d orbitals. Finally, there are more than one possible orbitals for l ≥ 1, each corresponding to a specific value of ml. In the case of a hydrogen atom or a one-electron ion (such as He+, Li2+, and so on), energies of all the orbitals with the same n are the same. This is called a degeneracy, and the energy levels for the same principal quantum number, n, are called degenerate energy levels. However, in atoms with more than one electron, this degeneracy is eliminated by the electron–electron interactions, and orbitals that belong to different subshells have different energies. Orbitals within the same subshell (for example ns, np, nd, nf, such as 2p, 3s) are still degenerate and have the same energy. While the three quantum numbers discussed in the previous paragraphs work well for describing electron orbitals, some experiments showed that they were not sufficient to explain all observed results. It was demonstrated in the 1920s that when hydrogen-line spectra are examined at extremely high resolution, some lines are actually not single peaks but, rather, pairs of closely spaced lines. This is the so-called fine structure of the spectrum, and it implies that there are additional small differences in energies of electrons even when they are located in the same orbital. These observations led Samuel Goudsmit and George Uhlenbeck to propose that electrons have a fourth quantum number. They called this the spin quantum number, or ms. The other three quantum numbers, n, l, and ml, are properties of specific atomic orbitals that also define in what part of the space an electron is most likely to be located. Orbitals are a result of solving the Schrödinger equation for electrons in atoms. The electron spin is a different kind of property. It is a completely quantum phenomenon with no analogues in the classical realm. In addition, it cannot be derived from solving the Schrödinger equation and is not related to the normal spatial coordinates (such as the Cartesian x, y, and z). Electron spin describes an intrinsic electron “rotation” or “spinning.” Each electron acts as a tiny magnet or a tiny rotating object with an angular momentum, even though this rotation cannot be observed in terms of the spatial coordinates. The magnitude of the overall electron spin can only have one value, and an electron can only “spin” in one of two quantized states. One is termed the α state, with the z component of the spin being in the positive direction of the z axis. This corresponds to the spin quantum number ms=12. The other is called the β state, with the z component of the spin being negative and ms=−12. Any electron, regardless of the atomic orbital it is located in, can only have one of those two values of the spin quantum number. The energies of electrons having ms=−12 and ms=12 are different if an external magnetic field is applied. Figure 9.4.5 illustrates this phenomenon. An electron acts like a tiny magnet. Its moment is directed up (in the positive direction of the z axis) for the 12 spin quantum number and down (in the negative z direction) for the spin quantum number of −12. A magnet has a lower energy if its magnetic moment is aligned with the external magnetic field (the left electron) and a higher energy for the magnetic moment being opposite to the applied field. This is why an electron with ms=12 has a slightly lower energy in an external field in the positive z direction, and an electron with ms=−12 has a slightly higher energy in the same field. This is true even for an electron occupying the same orbital in an atom. A spectral line corresponding to a transition for electrons from the same orbital but with different spin quantum numbers has two possible values of energy; thus, the line in the spectrum will show a fine structure splitting. The Pauli Exclusion Principle An electron in an atom is completely described by four quantum numbers: n, l, ml, and ms. The first three quantum numbers define the orbital and the fourth quantum number describes the intrinsic electron property called spin. An Austrian physicist Wolfgang Pauli formulated a general principle that gives the last piece of information that we need to understand the general behavior of electrons in atoms. The Pauli exclusion principle can be formulated as follows: No two electrons in the same atom can have exactly the same set of all the four quantum numbers. What this means is that electrons can share the same orbital (the same set of the quantum numbers n, l, and ml), but only if their spin quantum numbers ms have different values. Since the spin quantum number can only have two values (±12), no more than two electrons can occupy the same orbital (and if two electrons are located in the same orbital, they must have opposite spins). Therefore, any atomic orbital can be populated by only zero, one, or two electrons. The properties and meaning of the quantum numbers of electrons in atoms are briefly

A Brief History of Washington’s Crossing of the Delaware River, Christmas Night 1776... In the fall of 1776, General George Washington and his army had suffered a series of defeats at the hands of the British Army. The Continental Army had lost every battle with the British in the New York campaign: Long Island, Manhattan, Brooklyn Heights, Harlem and White Plains and had surrendered Fort Washington and Fort Lee. At Fort Lee, the army barely escaped and was forced to leave behind its store of provisions, ammunition, and many of its weapons. A sense of defeat had settled around Washington as he was forced to retreat across New Jersey in November and finally to Pennsylvania on December 8, 1776. The British, at least, considered the war over. By December 11th, the only reason the British had not taken Philadelphia, the seat of the Continental Congress, was that Washington had ordered every boat in the Delaware River on the New Jersey side to be brought to the Pennsylvania side, thus denying the British army transportation. Washington knew that the British would be capable of resuming an offensive by crossing the Delaware once it iced over. As the harsh winter set in, the morale of the American troops was at an all-time low. The soldiers were forced to deal with a lack of both food and warm clothing, while Washington watched his army shrink because of desertions and expiring enlistments. Now, more than ever, a victory was desperately needed. Washington devised a courageous plan to take the offensive and cross the Delaware River on Christmas night and attack the Hessian garrison at Trenton, New Jersey, nine miles south of his encampment near McConkey's Ferry. The original plan called for three divisions to cross the Delaware under the cover of darkness. Lt. Col. John Cadwalader's division was to cross at Bristol and engage the southern most contingent of British forces — Hessian troops under the command of Colonel von Donop. General James Ewing's division was to cross at Trenton Ferry and take a position south of Assunpink Creek below Trenton and hold the bridge over that stream. Washington's division was to cross at McConkey's Ferry and then divide into two corps under General Nathanael Greene and General John Sullivan. Their point of attack was Trenton and the Hessian troops quartered there under the command of Colonel Johann Gottlieb Rall. The boats to be used for the crossing were gathered earlier in the month in compliance with General Washington's orders, primarily as a defensive measure. Various types of boats had been collected, most notably the large Durham boats used to carry pig iron down the Delaware to the Philadelphia markets. There were a number of problems in moving a large number of men, cannons, and supplies in an age when overland transportation was by foot and animal power. The roads were rutted and winding. There were no bridges over major rivers because the technology did not exist to span great distances. A river like the Delaware was crossed by ferry, sometimes out of service because of ice floes or floods, and certainly not designed to carry masses of men and equipment across quickly. A river could be a formidable natural barrier to an army on the move. Washington had several logistical concerns for the crossing. In addition to the troops were the cannon; each of which required at least two horses to pull it. The heavier twelve pounders, and probably the eight pounders, had four horses. There would have been between four and six ammunitions wagons. Officers of the rank of colonel or higher may have had horses. In sum, Washington had to move 2,400 men, eighteen cannons, at least four ammunition wagons and fifty to seventy-five horses across the Delaware River the night of December 25, 1776. Fully expecting to be supported by Cadwalader's and Ewing's divisions south of Trenton, Washington assembled his own troops near McKonkey's Ferry in preparation for the crossing. By 6:00 pm, 2,400 men had begun crossing the ice-chocked river. There was an abrupt change in the weather, forcing the men to fight their way through sleet and a blinding snowstorm. The river was flooded with sheets of ice moving at eleven or twelve miles per hour. These obstacles proved to be too much for the two supporting divisions led by Generals Cadwalader and Ewing, who did not cross at their assigned points along the river. It was Washington's pure force of will and determination that led to his troops' successful crossing of the river. Increasing Washington's odds were the sailors of Marblehead, Massachusetts. This group of hardened seamen, led by Col. John Glover, were used to the Nor'easters of New England. Sheer determination and muscles conditioned to the demands of rowing under the weather conditions now facing the Continental army enabled the Marbleheaders to row back and forth across the Delaware countless times. During the time of the Revolution, American soldiers marched single file along the margins of the roads. They were only assembled into a battle line (three deep) when they reached the battlefield. The battle plan had Washington's army marching in two divisions... General Greene's and General Sullivan's. They made a night march in two columns on separate roads, a very tricky operation that was prone to failure since the columns needed to arrive at the battlefield at the same time to carry out the surprise attack planned by Washington. The American army carried out the march flawlessly. Against all odds, Washington and his men successfully completed the crossing and marched to Trenton on the morning of December 26th and, in the resulting battle, achieved a resounding victory over the Hessians. By moving ahead with his bold and daring plan, General Washington reignited the cause of freedom and gave new life to the American Revolution.

The Revolt of the Northern Earls (1569) Most people in the North remained loyal to the Catholic noble families who controlled the north and their Catholic faith. When Elizabeth came to power, she promoted ‘new men’ (Protestants) from the gentry and the powerful Catholic nobles lost their power and influence. This led them to organise the most serious rebellion of Elizabeth’s reign in 1569. Why did the Northern Earl’s revolt? The Earls had lost their power when Elizabeth became Queen (and wanted it back). They wanted Catholicism restored in England (and felt that ordinary Catholics would support it). Elizabeth was refusing to marry or to name an heir, causing uncertainty about England’s future. Mary Queen of Scots (if freed from prison) could replace Elizabeth and solve all these problems Who were the key players in the Revolt? Earl of Northumberland • A Catholic who had held an important position under Mary I. • He lost a lot of influence under Elizabeth (as she favoured Protestant gentry) • Elizabeth also took the rights to a valuable copper mine found on his lands Earl of Westmorland • From a rich Catholic family in the north Also the Duke of Norfolk’s brother in law Duke of Norfolk • England’s most senior Protestant noble, but he had very close links to old northern Catholic families, & was sympathetic to them & greedy for power. • He hated William Cecil & Robert Dudley, Earl of Leicester (Elizabeth’s favourite) who were Protestant and from the gentry • He planned to marry Mary QS, but later backed down and urged the earls to call off the rebellion. Mary also supported the plan to marry him What role did religion play? (7/10 – but only because it was linked to power) • Most northerners held onto their Catholic beliefs & although Elizabeth didn’t persecute them, they knew that she wanted their religion to gradually die out, so they supported the revolt. • In 1561 Elizabeth hired a strict Protestant as archbishop of Durham to promote Protestantism in the north, but he was unpopular & turned many northerners against the Protestant religion. What role did politics/power play? (9/10 – this was the most important cause of the revolt) • The Northern Earls lost a lot of their power/influence (even jobs/money under Elizabeth) • Northumberland was jealous of new Protestant families being given top jobs in the North • William Cecil & Robert Dudley were not from ancient noble families, but were very close to the Queen, so the northern Earls resented them getting top jobs in her Government • Elizabeth also confiscated large areas of land & the profits from their copper mines • It is possible, that had Elizabeth allowed the Catholic Northern Earls to keep their jobs, money and influence at court, they may have ‘tolerated’ her as a Protestant Queen (greedy/selfish). What role did Mary Queen of Scots and the Succession play? • Elizabeth was refusing to name an heir and it was becoming clear that she would not marry • If Mary Queen of Scots married the Duke of Norfolk, England would have an heir and England would be Catholic again. The country would be stable without people competing for power. • However, some of Elizabeth’s courtiers got worried that it might not work and that it might lead to charges of treason (punishable by death) • So by September 1569, Robert Dudley (Earl of Leicester) decided to tell Elizabeth about the plot. By this time it was much more serious than simply marrying Norfolk to Mary. • Mary QS had secretly asked Spain to send troops to help the rebellion & overthrow Elizabeth Plan for the Revolt of the Northern Earls (1569) • The Earls of Northumberland & Westmorland will raise rebel troops from their lands in the north and take control of Durham. • The rebels will then march south towards London to join with the Duke of Norfolk • 1000s of Spanish troops will land in England to support the rebel forces • The Duke of Norfolk & rebel forces will seize control of Government & overthrow Elizabeth • Mary Queen of Scots is to be freed, ready to marry the Duke of Norfolk Key Events of the Revolt • Once Elizabeth knew of the plot, Norfolk was arrested and sent to the Tower of London • The Northern Earls were worried they would be executed for their involvement and in a desperate attempt to avoid punishment, pushed ahead with the revolt • They raised an army of ordinary Catholics and took control of Durham cathedral • Catholic mass was celebrated across the north for 2 weeks. • They then headed south, to try and free Mary • Mary QSs was moved south to Coventry on the orders of Elizabeth, so she couldn’t escape • The rebellion failed as Spanish troops never arrived • Elizabeth’s friend (Earl of Sussex) had raised an army of 7,000 men to defend her throne. Results: • The rebellion was a serious threat to Elizabeth • She executed 450 rebels in the north • Northumberland was executed in 1572 & his head was put on a spike on the city gate • The Privy Council called for the Duke of Norfolk’s execution too, but Elizabeth released him. • Mary Queen of Scots was kept in prison for the next 14 years. • The failed plot also led the Pope to take action against Elizabeth • In 1570 he excommunicated Elizabeth from the Catholic Church • He also issued a Papal Bull (order) calling on all loyal Catholics to overthrow her hoping it would encourage another rebellion. • In 1571 Elizabeth called parliament to pass an Act making it treason to claim that she was not the rightful Queen and to bring in/print papal bulls in England. The Significance of the Revolt of the Northern Earls • It was the first and most serious rebellion by English Catholics against Elizabeth • Treason laws were made much harsher • It ended the influence of the powerful Catholic Earls in the North • It led to harsher treatment of Catholics, e.g. 1572 Elizabeth sent the Earl of Huntingdon (strict Protestant) to the north to carry out laws against Catholics (and suppress Catholicism). • Although Elizabeth’s brutal revenge on the rebels show how serious a threat it was, most Catholics in the north stayed loyal, but the Pope’s Papal Bull now put their loyalty in doubt There was little support for the revolt among the rest of the Catholic nobility and ordinary people. When faced with a choice between Elizabeth and their religion, most Catholics chose to support the Queen. 1569, was the last time English Catholics tried to remove Elizabeth by force. The future plots against her were always uncovered by Cecil & Walsingham, before they had a chance to get any public support. Despite this, the Northern Revolt & Papal Bull changed Elizabeth’s attitude towards Catholics who were now seen as potential traitors. From 1570, Elizabeth became less tolerant of recusants (people refusing to attend her church) & took increasingly tough measures against Catholics. The Ridolfi, Throckmorton & Babington plots • In the 1870s-80s, there were 3 Catholic plots to assassinate Elizabeth & replace her with Mary. • The plots were supported by France, Spain, the Pope and some Catholic nobles. • They reinforced the form Mary & from Catholics at home and abroad. Also the threat from Spain. The Ridolfi Plot (1571) • Ridolfi was an Italian banker living in England and a spy for the Pope. • He organised a plot to murder Eliz, marry Mary QS to the Duke of Norfolk & make her Queen. • The Pope & King Philip supported the plot & Philip told the Duke of Alba in the Netherlands to prepare 10,000 troops (but to only invade AFTER the English had overthrown Elizabeth). • The plot failed because Sir William Cecil intercepted coded letters & Norfolk was executed. • Mary was kept under closer watch. • Ridolfi was abroad when the plot was discovered and never returned to England. 1574: Catholic Priests and Priest Holes • From 1574 Catholic priests were smuggled into England to keep the religion alive. • They stayed with rich Catholic families, so Catholic families were kept under surveillance. • Catholic homes were raided – to find ‘priest holes’ where Catholic priests were hiding. • Catholic priests who were found could be hung, drawn and quartered (although not all were) • In 1581, Parliament also passed 2 new tougher laws against Catholics: • Recusants would be fined £20 (which would bankrupt most families) • Trying to convert people to Catholicism was now treason (punishable by death) The Throckmorton Plot (1583) • It aimed to assassinate Elizabeth and replace her with Mary. The French Duke of Guise (Mary’s cousin) would invade England with an army, funded by King Philip (Pope also supported it). • An Englishman, Throckmorton carried messages between Mary & Catholic plotters abroad. • Sir Walsingham (Secretary of State) uncovered the plot after his agents found the plans for the plot in Throckmorton’s house. Throckmorton confessed under torture and was executed. Significance: • The plots showed that Mary’s presence in England posed a serious threat • It also showed that France & Spain were a serious threat (& could invade) • Throckmorton’s papers showed a list of Catholic supporters in England, so the threat from English Catholics was also real • 1,000s of Catholics were imprisoned or kept under surveillance/house arrest • In 1585 another Act was passed to make helping Catholic priests punishable by death. • The Bond of Association was signed by the English nobles & gentry & forced them to promise to execute anyone who tried to overthrow the Queen. Weaknesses of the Plots The plots lacked public support & were uncovered by informers & spies before they had the chance to work King Philip was reluctant to destroy his alliance with Elizabeth (France was still a bigger rival) so is support for the plots was half-hearted, he rarely followed through on his promises to help the plotters or send an army The Babington Plot (1586) In 1586, Walsingham used his spy network to PROVE that Mary supported the Babington plot. His evidence persuaded Elizabeth to put Mary on trial & execute her for treason. • This was a plot to murder Elizabeth and put Mary on the throne • France would invade England with 60,000 men and Spain would also send an army • Babington was passing coded letters between Mary & her supporters in England & Europe. • But all of her letters were being intercepted and read by Walsingham. • Walsingham used his spies to follow every stage of the plot & had the letters decoded • One of Mary’s letters approved plans to murder the Queen and free Mary from prison • They also contained the names of 6 Catholics who planned to kill Elizabeth • They were arrested, hung, drawn and quartered for treason. • Mary had been implicated in plots before, but Elizabeth was always reluctant to execute her • But the proof found by Walsingham finally persuaded her to put Mary on trial • In October 1586, Mary was found guilty & was sentenced to death • But Elizabeth still hesitated, and did not sign the death warrant until February 1587. Significance 1) This plot was very significant because by 1585 England was effectively at war with Spain since Elizabeth had sent her army to help the Dutch Protestants fight the Spanish 2) This meant that Elizabeth’ situation was more dangerous than during previous plots. 3) Elizabeth’s government also became more determined to crush Catholicism 4) 1000s of recusants were arrested & 31 priests were executed 5) Mary’s execution removed the Catholic threat at home 6) English Catholics had no one to rally around, & lost hope of overthrowing Elizabeth 7) But Mary’s death increased the threat of a foreign invasion as England was at war with Spain and King Philip had been preparing an attack on England since 1585 8) Mary’s death made Philip even more determined to invade, Mary had left her claim to the English throne to King Philip upon her death Why was Mary Queen of Scots finally executed? 1 • A new Act in 1585 stated that in the event of Elizabeth’s assassination, Mary could be executed as long as she had been proved guilty & Walsingham had provided hard proof. 2 • Another reason was that by 1587, it was clear that Philip was planning to invade England • There were rumours that Spanish ships had landed in Wales & that Mary had escaped. This convinced Elizabeth that Mary had to be executed if she wanted to keep her throne. Walsingham’s Spy Network: • Walsingham (Secretary of State from 1573) had a network of spies all over England & abroad. He had spies in every English town, some were normal people paid to spy on neighbours. • He also had agents and spies in Spain, France, Germany and Italy • He hired mathematicians to crack written codes and people to open/seal letters secretly • He also pressured captured Catholic priests to spy on others for him in return for a pardon. • He used double agents to infiltrate Catholic networks - to help him discover traitors • But he only used torture against Catholic priests caught in England in the most serious cases • But 130 priests and 60 of their supporters were still executed during Elizabeth’s reign. Why did Relations with Spain get worse (1569-1588) • England had tried to stay on good terms with Spain, because Eliz wanted to avoid an expensive war that could lead to her being overthrown (English Catholics could support it) • But by the 1570s, Elizabeth wanted to have an empire of her own. • She also needed to make more money to defend her country and throne (by improving trade) • This religious, political and economic rivalry led to growing tensions between England & Spain Political and Religious Rivalry 1) Land abroad, gave countries wealth/power. By the 1580s, Eliz wanted an empire to rival Spain’s (especially as Spain had supported the Catholic plots against Eliz – even if it was half-hearted) 2) Religion was another cause of conflict. Philip opposed Elizabeth’s religious settlement 1559 3) Luckily for Elizabeth, in the 1550s Spain & France were competing to be the greatest European power and both wanted England as an ally against the other. 4) But from 1567, Spanish ships were sailing to the Netherlands with money for the Alba’s army 5) This alarmed English Protestants and Elizabeth’s Privy Council who put more and more pressure on her to send an army to help the Dutch Protestant rebels (in the Netherlands). Economic (commercial) Rivalry: The New World, privateers and Sir Francis Drake • Under Elizabeth, English merchants wanted to make big profits in the New World (Americas). • However, trading in the New World was difficult because of Spain’s power 1) Spain controlled most of the New World where there were huge profits to be made and anyone who wanted to trade there needed a licence from Spain (which it would not give): 2) But the Americas had valuable crops like tobacco, sugar, and also silver and gold 3) Elizabeth secretly encouraged privateers to trade illegally & raid Spanish ports & ships 4) At first Elizabeth denied responsibility for their actions, which delaye war with Spain Sir Francis Drake: Elizabeth sends Drake to rob Spanish colonies and ships (which infuriates Spain) 1) Spain’s support for the Ridolfi plot (1571) made her more willing to support Drake • In 1572 Eliz hired Drake to sail to the New World & steal £40,000 of Spanish silver • In 1577 she sent Drake back again with a secret mission to rob Spain’s colonies/ships • Drake brought back £400,000 of Spanish treasure & claimed an area of California in Elizabeth’s name (New Albion). He gave a lot of this money to Elizabeth • He boosted England’s finances at a time of growing concern over Spain’s threat • He became famous as the first Englishman to circumnavigate the globe. • Eliz knighted Drake as a reward, which infuriated Philip (as he saw Drake as a pirate) • Drake’s actions & his claim to California made it clear that England did not accept Spain’s domination of the New World. Elizabeth’s Support for the Dutch Rebels led to War with Spain (1585-88) • By the 1580s, tension between England & Spain had reached boiling point • At first, Eliz refused to send her army to help the Dutch rebels, because she wanted to avoid a war with Spain. So she tried to get the Spanish to leave the Netherlands in other INDIRECT ways: 1) By allowing Drake (& other English privateers) to attack and rob Spanish ships and colonies 2) By encouraging others (the French heir/mercenaries) to fight the Spanish in the Netherlands • In the 1570s, Elizabeth promised to marry the heir to the French throne (the Duke of Alencon) so that he would take an army to fight the Spanish in the Netherlands The Spanish Fury (1576) and the Pacification of Ghent (1576) • By 1576, the Spanish Govt in the Netherlands was bankrupt (the war was expensive) • After months without pay, Spain’s soldiers violently robbed Dutch towns in the “Spanish Fury” Spanish troops rebelling and robbing cities in the Netherlands in 1576. This united the Dutch Protestants & Catholics against Spain. They drew up the ‘Pacification of Ghent’ (demanding that): • Spanish troops leave the Netherlands • Spain allows the Dutch to rule themselves • The persecution of Dutch Protestants stops What did Elizabeth do? • Elizabeth sent £100,000 to help the Dutch rebels • In 1577 King Philip’s brother, Don Juan agreed to the rebels demands (but this was a trick) as just 6 months later Philip sent an even bigger army to attack the Dutch. • Elizabeth then hired a mercenary army of 6000 English & Scottish volunteers to help the Dutch. • But her plan backfired because the mercenaries destroyed Dutch Catholic churches, which caused the Catholics to make peace with Spain. • In 1578, her Privy Council urged Eliz to send her official army to help the Dutch, but she refused. The Dutch were disappointed & turned to France for help. The French Duke of Alencon arrived with an army to fight the Spanish, but by 1579 Spain had taken control again. • In 1580 Spain got even stronger after Philip won control of Portugal & its empire. • So Elizabeth gave the Duke of Alencon £70,000 to help him fight the Spanish • In 1582, Alencon took his army the Netherlands but failed to defeat Spain. • Elizabeth’s foreign policy in the Netherlands had failed & she had only managed to annoy Spain 1585: Why did Eliz finally decide to send her army to the Netherlands? (she lost her 2 main allies) • 1584 the Duke of Alencon died (so he could no longer fight the Spanish in the Netherlands) • 1 month later, William of Orange, the leader of the Dutch Protestant rebels was assassinated. • In 1585, Spain signed the Treaty of Joinville with France, agreeing to stamp out Protestantism in France/Europe meaning France & Spain were now allies against Protestantism • Elizabeth now felt she had no choice but to send her official army to the Netherlands • She signed the Treaty of Nonsuch with the Dutch rebels which promised them military help 1585: Robert Dudley’s campaign in the Netherlands was unsuccessful She sent 7,400 man army to the Netherlands led by Dudley. But he accepted the title of ‘Governor General’. Eliz was angry as it suggested that she had deposed King Philip so she told Dudley to resign this position. His army was defeated by the bigger Spanish Army as Eliz had not provided him with enough money to win. In 1587 Dudley resigned and returned to England. At the same time, Eliz had sent Drake to raid Spanish colonies in the New World to disrupt King Philip’s flow of money. Philip was furious and told the Pope he planned to invade England at the end of 1585. Drake singes the King of Spain’s beard 1587 • In 1587 Elizabeth ordered Drake to attack Spain’s most important port Cadiz • He destroyed 30 ships in 3 days – known as the ‘Singeing of the King of Spain’s Beard’ • He also stole lots of wood, meaning the Armada did not have quality barrels for food/water • Drake’s disruption delayed the Armada by a year (& meant that its food rotted in 1588). • This bought England more time to prepare for war. The Spanish Armada (1588) The Plan • By 1588, the Spanish Armada was ready to invade England • It had 130 ships with 8000 sailors & 18,000 soldiers • The Duke of Medina Sidonia would lead the Armada, but he had little experience at sea and didn’t want the job • The Armada would collect Parma’s army from France & sail to England under the protection of the Armada’s warships • Parma would march to London to depose Elizabeth & impose a Catholic government in England. 1) The Armada reached the English Channel The Armada set out in May 1588, but was delayed for a few weeks by bad weather In July the Armada was near England & signal fires were lit to warn Elizabeth English ships set sail to meet the Armada The Armada sailed up the channel in a crescent (half moon) formation, to use the large armed galleons to protect the weaker supply and army ships The English navy carried out a few minor raids, but did not inflict much damage Only 2 Spanish ships were lost (by accident) 2) The English attack the Spanish at Calais (with fire ships) and at Gravelines The Armada sailed up the English channel & anchored at Calais to wait for Parma’s army But Parma’s men didn't reach the coast in time (news had reached them too late) At midnight, the English sent 8 fireships into the Spanish ships causing panic They cut their anchors, broke formation & headed for the open sea (without Parma) The Spanish ships sailed to Gravelines, but bad weather stopped them returning to Calais The English attacked and the battle lasted many hours (5 Spanish ships were sunk) The rest were forced to sail away from France towards Scotland The English ships followed them to make sure they didn’t come back to collect Parma’s army 3) The Armada’s Journey back to Spain around Ireland was a disaster The Spanish called off the attack and returned to Spain around Scotland & Ireland Bad storms sank many ships and wrecked more on the Irish coast Many sailors died from starvation & disease – less than half the men made it back to Spain How did England defeat the Spanish Armada? !) Faster Ships • Years before the battle, England had started building smaller, faster ships (galleons) that could fire canon balls quicker & further than Spanish ships • Spanish ships were huge and slow to change direction. 2) Bad Planning & Communication (Spanish) • Philip’s plan to join with the Duke of Parma’s army in France was risky. • Parma had lots of small ships which took 48 hours to load, man and set sail. • It took too long (a week) for word to reach Parma that Medina was in the English Channel, by which time Medina had set sail to Calais. • Parma was not ready to set sail & the English were already ready to attack (leaving Medina with very little back up when anchored in France). 2) English Tactics were more effective • Spanish ships aimed to come alongside the English ones, jump on board & fight the enemy. But the English ships were faster & kept a safe distance. • They chased the Armada down the Channel, with heavy cannon fire, which forced the Spanish to arrive in France before Parma’s army was ready • As the Armada was waiting, the English sent fireships into the Spanish fleet. • This caused the Armada to panic, cut their anchors & sail away to the north • When the Spanish ships regrouped, the English attacked them in the Battle of Gravelines & the Armada was forced to sail north, chased by faster ships. 5) Bad Weather • Strong winds made it impossible for the Armada to return & pick up Parma’s army and storms wrecked or sunk Spanish ships as they tried to return home along the Scottish-Irish coasts. 2) Spanish Supplies • The Armada was not well supplied with food/weapons. Drake’s attack on Cadiz port in 1587 had destroyed food barrels. Delays in setting sail meant that by the time the English attacked the Armada it had been at sea for 10 weeks and had rotting food. 1000s died from starvation/disease. The consequences of the English victory? • Victory over the Spanish Armada gave Elizabeth a great propaganda victory • A new portrait was made, and a medal was made to commemorate her victory, it said “God blew and they were scattered”. • Elizabeth claimed that God was on the side of Protestantism • This led to a feeling of English pride and encouraged the Dutch rebels to renew their fight against the Spanish • The defeat of the Armada showed the strength of the English navy and gave England the confidence to trade and explore more widely at sea • Although Philip did not give up and continued the war for the rest of Elizabeth’s reign, the defeat had cost Spain dearly, both financially and in terms of its power • The Armada marked the start of a long decline in Spain’s power and fortunes. • English ships were sent on voyages of discovery and set up valuable new trade routes • By the end of Elizabeth’s reign, the navy was also trying to set up a new colony in Virginia • The English victory boosted Elizabeth’s popularity & strengthened the Protestant cause

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