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

2.)A block of mass 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 2k, pulled back a distance 2d, and released.

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

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

Explanation / Answer

Amplitude is the distance from equilibrium point to highest or lowest point.

Hence ,

a1= d

a2=d

a3=2d

a4=d/2

a5=d

Rank: a4 < a1 < q2 < q5 < a3

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