Three capacitors C1 = 2 μF , C2 = 3 μF and C3 = 5 μF are connected as C1 in series to C2 and C1 and C2 are in parallel to C3. What is the equivalent capacitance of this arrangement in μF?

A home experimenter wants to make a one ohm resistor from 1 mm diameter carbon rod from a mechanical pencil. What length of the rod does the experimenter needs if the resistivity of carbon is 3.5 x 10^-5 ohmmeter?

A body was dropped from a height h₀ above the floor. If the height is made 4 times h₀ the velocity of the ball as it hits the floor will be,

A ball is drooped from the top of a building which is 50m tall. How long in seconds will it takes the ball to reach the ground?

A ball is thrown at a 30° angle above the horizontal with a speed of 10m/s. After 0.5s the horizontal component of the velocity will be,

A stone is thrown from the top of a 200m building with an initial velocity of 150m/s at an angle of 30° with the horizontal line. Neglecting the air resistance, determine the maximum height in meters above the ground reached by the stone.

An automobile traveling with a speed of 60kph can brake to stop within 20m. If the car is going twice as fast, the stopping distance will be,

An automobile wheel is spinning at the rate of 180 rpm. If it experienced an acceleration of 10 rad/s², what is the angular velocity of the wheel after 5 sec?

A speed boat traveling at 30m/s is 100m from a buoy and decelerates at 3.5 m/s². What time it will reach the buoy?

A 600 pound box rest on a slope. If the coefficient of friction is 0.70, find the maximum angle in degrees at which the box will remain at rest.

An object is placed 3 feet from the center of a horizontally rotating platform. The coefficient of friction is 0.30. The object will begin to slide off when the platform speed is nearest to,

The maximum speed in m/s with which a car driver must traverse a flat curve of radius 150m and coefficient of friction of 0.6 to avoid skidding is,

If a horizontal force of 100 N was needed to keep an object weighing 270 N sliding at constant speed over a horizontal surface, then what was the coefficient of sliding friction?

A roller coaster slides down a frictionless ramp. What is the minimum height of the ramp such that the roller coaster will maintain contact at the top of the loop the loop with radius r?

The leaning tower of Pisa is 54.5 m tall. Supposedly, Galileo investigated the behavior of falling objects by dropping them from the top of this tower and timing their descent. How long in seconds would it take an object to fall 54.5 m if air effects are negligible?

During the takeoff roll, an airplane is accelerating at 4m/s^2. If it requires 40s to reach the takeoff speed, find the takeoff speed.

A typical jet fighter plane launched from an aircraft carrier reaches a take-off speed of 175 mi/h in a launch distance of 310 ft. How long in seconds does it take to launch the fighter?

A rocket ejected 1% of its mass per second with a velocity of 2200 m/s as it leaves the launching pad. What is its initial acceleration?

A feather is dropped on the moon from a height of 1.40 meters. The acceleration of gravity on the moon is 1.67 m/s square. Find the time for the feather to fall to the surface of the moon.

A man weighs himself twice in an elevator. When the elevator is at rest, he weighs 824N; when the elevator starts moving upwards, he weighs 932N. How fast is the elevator accelerating, assuming constant acceleration?

A woman stands on a bathroom scale in an elevator that is not moving. The scale reads 450 N. The elevator then moves downward at a constant velocity of 4.5 m/s. What does the scale reads while the elevator descends with constant velocity?

A machine gun fires a bullet of mass 40g with a velocity of 1200m/s. The man holding it can exert a maximum force of 144N on the gun. How many bullets can he fire per second at the most?

A 3-kg rifle fires a 10-g bullet at a muzzle velocity 500 m/s. What is the recoil velocity of the rifle in meter per second?

If you lie on the bottom of a swimming pool and look up, you can see the entire outside world by looking up from the vertex of a cone of half angle θ. For water, n = 1.33 index of refraction. What is the angle θ?

A lamp placed 60 cm from a lens forms an image on a screen 30 cm away from the lens on the side opposite the lamp. What is the focal length of the lens?

How much force is needed to keep an 85 kg cart moving at constant velocity on a level concrete road? Use f = 0.04 for the coefficient of friction.

A grasshopper 5cm long is 25cm in front of a convex mirror whose radius of curvature is 80cm. Find the size of the image.

What is the wavelength of the sound emitted by violin string vibration 500 times per second? Assume the velocity of sound to be 1100 m/s.

A 3cm wavelength radar is located at the origin of x-y coordinate system. A car located at x =100m and y = 200m is heading east (x-direction) at a speed of 120kph. What is the Doppler frequency measured by the radar?

The siren of a fire engine has a frequency of 500Hz. The fire engine approaches a stationary car at 20m/s. What frequency does a person in the car hear?