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Five different experiments are carried out. In each experiment, a block is attac

ID: 1780565 • Letter: F

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 (1/2)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 (1/2)k, pulled back a distance (1/2)d, and released. A block of mass M is attached to a spring with a spring constant 2k, 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. (please show actual ranking)

Explanation / Answer

F = k x

m = M/2 and k = k , x = d .....3rd smallest

F = k d


M = M , k = k/2 , x = 1d/2 ......1st smallest

F = k d / 4


M = M, k = 2k , x = d ......4th smallest ( or greatest)

F = 2 k d

M = M, k = k, x = d ..............3rd smallest


F = k d


M = M. k = k , x = d/2 .......2nd smallest

F = k d / 2