Five different experiments are carried out. In each experiment, a block is attac
ID: 2037096 • 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 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 2M 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 2k, 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.
Explanation / Answer
using F = kx
1 )
A block of mass M is attached to a spring with a spring constant k, pulled back a distance d, and released
F = k d
2 )
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 = k (d/2)
F = kd/2
3 )
A block of mass 2M is attached to a spring with a spring constant k, pulled back a distance d, and released.
F = kd
4 )
A block of mass M is attached to a spring with a spring constant 2k, pulled back a distance d, and released.
F = 2k d
F = 2 kd
5 )
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.
F = k/2 X d/2
F kd / 4
so 5 is small
and
2 is next small
and
3 and 1 is same
next is 4 is bigger than all
so the smaller order is 5 < 2 < 3 = 1 < 4
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