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

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 =(1/2)k (2)d =kd
2. F = kd
3. F = k(2)d = (2)kd
4. F = kd/2
5. F = kd

In order:smalest 4

then 1,2,5

biggest 3

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