A block is attached to a spring, with spring constant k, which is attached to a

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?

2)

3)

4)

5)

6)

7)

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?

9)

If the mass of the block is 2.6 kg, the distance d=0.62 m, the spring constant is k=25 N/m, what is the magnitude of the velocity of the block at point B?

Explanation / Answer

1)
mechanical energy

2) B, only

3) at both A and C

4) at both A and C

5) B, only

6) It would not change.

7) It would increase.

8) The energy is the same in both situations.

9)
W = sqrt(K/m) = 3.1 rad/s



V = d*W = = 0.62*3.1 = 1.92 m/s

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