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

Explanation / Answer

amplitude will depend on spring force and spring force will depend on spring contant and contraction of spring

so whose k*contraction is large ,that will have larger amplitude

let the 5 system be

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

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

3.A block of mass 2M 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 (1/2)k, pulled back a distance (1/2)d, and released.

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

order is in following

4<1=2<3=5

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