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

*please rank*

Explanation / Answer

force = ky where y is the distance of compression or extension of spring

1) F = (0.5 k)(2d) = kd

2) F = kd

3) F = kd

4) F = k(0.5d) = 0.5 kd

4) F = (0.5k)(d) = 0.5 kd

rank (4) = (5) < (1) = (2) = (3)

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