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 2k, pulled back a distance d, and released.

Explanation / Answer

f = k*x
1) f = k*2d

2) f = k*d

3) f = (1/2)k*(1/2)d = k*d/4

4) 2k*d

5) k*d

Ranking from smallest to largest is 3) < 2) = 5) < 1) = 4)

Ranking from largest to smallest

1) = 4) > 2) = 5) > 3)

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