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

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 amplitude of oscillation for each of the following situations. (Rank the smallest amplitude as 1).
1. A block of mass M is attached to a spring with a spring constant k, pulled back a distance (1/2)d, and released.
2. A block of mass M is attached to a spring with a spring constant 2k, pulled back a distance d, and released.
3. A block of mass M is attached to a spring with a spring constant k, pulled back a distance d, and released.
4. A block of mass 2M is attached to a spring with a spring constant k, pulled back a distance d, and released.
5. A block of mass M is attached to a spring with a spring constant 2k, pulled back a distance 2d, and released.

Please comment the actual order

Explanation / Answer

The force = spring constant x extension. The maximum amplitude occurs when the spring is at maximum force. This mass makes no difference.

1. F =(1/2)kd
2. F = 2kd
3. F = kd
4. F = kd
5. F = (1/2)k(1/2)d = (1/4)kd

In order:

smallest

5:
1
4 and 3 equal
2

Related Questions

Navigate

• Browse (All)
• Browse F
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.