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 (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 (1/2)k, pulled back a distance 2d, 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.

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

Explanation / Answer

Fmax = k A

1. Fmax = k d

2. Fmax = (k/2)(2d) = k d

3. Fmax = (k) (d/2) = k d / 2

4. Fmax = (2k) (d) = 2 kd

5. Fmax = (k)(d) = k d

3 < 2 = 5 = 1 < 4

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