Question 1

A spring has a spring constant of $400Nm^{-1}$ and is stretched 5cm from its relaxed position. Find the restoring force on such a spring.

Accepted Answer

20N

Answer

10N

Answer

15N

Answer

25N

Question 2

A spring with a spring constant of $400Nm^{-1}$ is compressed by 2cm from its relaxed position. Find the stored elastic energy on such a spring.

Accepted Answer

0.08J

Answer

0.06J

Answer

0.02J

Answer

0.04J

Question 3

A spring is used on a set of scales. If the spring is compressed 6cm when a mass of 40kg is placed on the scale. How far will a mass of 50kg compress the scale.

Accepted Answer

7.5cm

Answer

8.5cm

Answer

9.5cm

Answer

6.5cm

Question 4

A simple harmonic oscillator is described y the equation

$x(t)=0.05\cos{(6t+2\pi)}$

Find the amplitude (or in other words maximum displacement) on such a system

Accepted Answer

5cm

Answer

0.05cm

Answer

6cm

Answer

0.06cm

Question 5

For a simple harmonic oscillator described by the equation:

$x(t)=0.05\cos{(6t+2\pi)}$

Find the magnitude that the system is displaced for equilibrium after 2 seconds.

Accepted Answer

4.2cm

Answer

5.2cm

Answer

3.2cm

Answer

2.2cm

Question 6

Find the  magnitude of the maximum velocity of a simple harmonic oscillator described by the equation:

$x(t)=0.05\cos{(6t+2\pi)}$

Accepted Answer

$0.3ms^{-1}$

Answer

$0.2ms^{-1}$

Answer

$0.1ms^{-1}$

Answer

$0.4ms^{-1}$

Question 7

Assuming a simple harmonic oscillator described by the equation:

$x(t)=0.05\cos{(6t+2\pi)}$

Is a spring system with mass 5kg. Find the spring constant for such a spring in such a system.

Accepted Answer

$180Nm^{-1}$

Answer

$140Nm^{-1}$

Answer

$160Nm^{-1}$

Answer

$120Nm^{-1}$

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