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 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 k, pulled back a distance d, and released.
1 2 3 4 5  A block of mass (1/2)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 k, pulled back a distance 2d, 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.

Explanation / Answer

Amplitude is given by:
A = Force/k
And,mass makes no difference.
So, Block will have maximum amplitude if maximum force is applied across it.
For case 1: F = 2kd
For case 2: F = kd
For case 3: F = kd
For case 4: F = 2kd
For case 5: F = kd
So,
A(1) = A(4) > A(2) = A(3) = A(5)

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