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Five different experiments are carried out. In each experiment, a block is attac

ID: 1366704 • Letter: F

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. 1,2,3,4,5 (Rank the smallest amplitude as 1).
A block of mass M is attached to a spring with a spring constant 2k, pulled back a distance 2d, and released.
A block of mass 2M 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 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

Amplitude depends on the distance to which it is pulled

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

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

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

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

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

Please arrange it now