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).
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 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 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 M is attached to a spring with a spring constant k, pulled back a distance 2d, and released.

Explanation / Answer

Maximum force is given by: Fmax = k*x

where k = spring constant

x = maximum displacement

For case 1) where spring constnt = 2k and distance = (1/2)*d

So, Fmax = 2k*(1/2)*d = kd <----------------Rank 1

For case 2) where spring constant = k and distance = d

Fmax = kd <---------------Rank 1

For case 3) where spring constant = 2k and distance = d

So, Fmax = 2kd <-------------Rank 2

For case 4) where spring constant = k and distance = d

So, Fmax = kd <--------------Rank 1

For case 5)

Fmax = 2kd <-------------Rank 2

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