Five different experiments are carried out. In each experiment, a block is attac
ID: 2300386 • 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 (1/2)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 d, and released.
A block of mass M is attached to a spring with a spring constant k, pulled back a distance 2d, and released.
A block of mass M is attached to a spring with a spring constant 2k, pulled back a distance 2d, and released.
A block of mass 2M is attached to a spring with a spring constant k, pulled back a distance d, and released.
Explanation / Answer
The maximum force on the block can be calculated
using the Hooke's law
F = kx
Here, k is the spring constant and x is the compression or
stretched distance
i) Spring constant is 1/2k , stretched distance is d
F1 = k/2 (d)
=1/2 (kd) Rank - (1)
ii)Spring constant is k , stretched distance is d
F4 = k (d)
= kd Rank - (2)
iii) Spring constant is k , stretched distance is 2d
F3 = k (2d)
= 2 (kd) Rank - (4)
iv) Spring constant is 2k , stretched distance is 2d
F2 = 2k (2d)
= 4 (kd) Rank - (5)
v)Spring constant is k , stretched distance is d
F5 = k (d)
= kd Rank - (2)
F4 >F3 > (F2 = F5) > F1
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