Question

A block is attached to a spring, with spring constant k, which is attached to a wall. It is initially moved to the left a distance d (at point A) and then released from rest, where the block undergoes harmonic motion. The floor is frictionless.

The points labelled A and C are the turning points for the block, and point B is the equilibrium point.

1)

Which of these quantities are conserved for the spring and block system (Select all valid answers)?

mechanical energy

x-direction linear momentum

neither energy nor momentum

2)

At which position does the block and spring system have the most kinetic energy?

A, only

B, only

C, only

at both A and C

none of these places

There is not enough information to know.

3)

At which position does the block and spring system have the most potential energy?

A, only

B, only

C, only

at both A and C

none of these places

There is not enough information to know.

4)

At which point is the magnitude of acceleration of the block a maximum?

A, only

B, only

C, only

at both A and C

none of these places

There is not enough information to know.

5)

At which point is the magnitude of the acceleration of the block zero?

A, only

B, only

C, only

at both A and C

Acceleration is not zero anywhere.

There is not enough information to know.

6)

If we had initially only stretched the block a distance d/2 to the left, but everything else remained the same, how would the period of oscillation change?

It would increase.

It would not change.

It would decrease.

7)

If we doubled the mass of the block but kept everything else constant from the initial problem, how would the period of oscillation change?

It would increase.

It would not change.

It would decrease.

8)

In the above situation where we doubled the mass, but still moved the block a distance d to the left, how does the energy of the system compare to the energy in the original situation?

The energy is greater with a larger mass.

The energy is the same in both situations.

The energy is reduced with a larger mass.

9)

If the mass of the block is 2.2 kg, the distance d=0.55 m, the spring constant is k=20 N/m, what is the magnitude of the velocity of the block at point B?

m/s

Answer 1