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

Explanation / Answer

Since the surface is frictionless,the maximum amplitude will be equal to the distance for which the block is pulled back in each case.

So in case 1, case 2 and case 3 the maximum amplitude will have equal value which is d.

In case 4 it will have maximum amplitude of d/2 and in Case 5 it will have maximum amplitude of 2d.

So if we rank the situations we will get like this.(case 4 will have lowest rank and case 5 will have highest)

case 1: 2

case 2: 2

case 3: 2

case 4: 1

case 5: 5

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