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

ID: 1496609 • 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).
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 2k, pulled back a distance 2d, 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 (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.

Explanation / Answer

1 )

A block of mass M is attached to a spring with a spring constant k, pulled back a distance d, and released

the force F = k X d

2 )

A block of mass M is attached to a spring with a spring constant 2k, pulled back a distance 2d, and released

F = 2k X 2 d

F = 4 k X d

3 )

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

F = 2 k X d

4 )

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

F = 1/2 k X d

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

F = 1 / 2 k X d

4 ) and 5 ) are equal and small

then 1 ) is small

then 3 )

after 2 )

so the ascending order of forces is 5 , 4 , 1 , 3 , 2