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

*please rank*

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 = k(1/2)d = (1/2)kd

2. F = 2kd
3. F = kd

4. F = kd

5. F = (2k)(2d) = 4 kd

Rank ====> 1 < 3 = 4 < 2 < 5

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