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

Answer 1

Force in SHM is given by:

F = k*x

Force does not depends on mass

Case 1

when spring constant = 2k, and x = d/2

F = 2k*(d/2) = k*d = F1

Case 2

when spring constant = k, and x = d/2

F = k*(d) = k*d = F1

Case 3

when spring constant = k, and x = d

F = k*(d) = k*d = F1

Case 4

when spring constant = k, and x = d/2

F = k*(d/2) = k*d/2 = F1/2 = 0.5*F1

Case 5

when spring constant = 2k, and x = d/2

F = (k/2)*(d) = k*d/2 = F1/2 = 0.5*F1

So Order will be

4 = 5 < 1 = 2 = 3

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