Five different experiments are carried out. In each experiment, a block is attac

Question

Five different experiments are carried out. In each experiment, a block is attached to a horizontal spring. The block is pulled back a certain distance and released. The block oscillates back and forth on a frictionless surface. Rank the amplitude of oscillation for each of the following situations. (Rank the smallest amplitude as 1).

1.A block of mass M is attached to a spring with a spring constant 2k, pulled back a distance d, and released.

2.A block of mass M is attached to a spring with a spring constant k, pulled back a distance (1/2)d, and released.

3.A block of mass M is attached to a spring with a spring constant k, pulled back a distance d, and released.

4.A block of mass 2M is attached to a spring with a spring constant k, pulled back a distance d, and released.

5.A block of mass M is attached to a spring with a spring constant 2k, pulled back a distance (1/2)d, and released.

Explanation / Answer

The force = spring constant x extension. The maximum force occurs when the spring is at maximum extension. This mass makes no difference.

1. F =2kd
2. F = kd/2
3. F = kd
4. F = kd
5. F = 2k(1/2)d = kd

order is 1>(5 = 3 = 4) >2

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