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 amplitude of oscillation for each of the following situations. (Rank the smallest amplitude 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 (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 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.

Explanation / Answer

here

The maximum amplitude is simply equal to the distance the block is pulled back.
max = 2d

if the pulling distance is less then it will be min amplitude

the ranking is

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

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

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

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

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

these are rank wise first the smallest and the last with large amplitude

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