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 maximum force on the block for each of the following situations. (Rank the smallest force as 1).
A block of mass M is attached to a spring with a spring constant (1/2)k, pulled back a distance (1/2)d, and released.
A block of mass 2M is attached to a spring with a spring constant k, pulled back a distance d, and released.
A block of mass M is attached to a spring with a spring constant k, pulled back a distance d, and released.
A block of mass M is attached to a spring with a spring constant 2k, pulled back a distance d, and released.
A block of mass M is attached to a spring with a spring constant k, pulled back a distance (1/2)d, and released.

Explanation / Answer

Force on the block is given by kx

k = sp const

x = elongation or compression

1) F = (1/2)k x (1/2)d = (1/4)kd

2.) F = kd

3.) F = kd

4.)F = 2kd

5.)F = (1/2)kd

so,1<5<3=2<4

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