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 maximum force on the block for each of the following situations. (Rank the smallest force 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.
A block of mass M 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 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 (1/2)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.

Explanation / Answer

Force due to Spring Compression is given by , F = k*x
Where
k is the Spring Constant
x is the compression.

Now for the below cases -
1.) F1 = 1/2 * (1/2)k*d = 1/4 kd
2.) F2 = 1/2 * k * d = 1/2 kd
3.) F3 = 1/2 * k * 1/2 d = 1/4 kd
4.) F4 = 1/2 * 1/2 k * 1/2 d = 1/8 kd
5.) F5 = 1/2 * k * d = 1/2 kd

Rank From Highest to Lowest -

F2 & F5 ARE EQUAL.
F1 & F3 ARE EQUAL
F4 IS SMALLEST

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