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).

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

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

I already tried to putting them in order like this starting from smallest: # 5<,4<, 3=1,<2 but it said that was wrong.

Explanation / Answer

Amplitude depends only on the displacement not on either K (spring constant) or M (mass).

so, As displacement increase or decrease from mean position( point of oscillation), amplitude will increase or decrease ( that would be equal to the displacement, this is for ideal spring)

so, if we start from smallest amplitude it will be such as,

5=4 <3=2=1

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