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A highly elastic ball is dropped from a height of 2.8m onto a hard surface. Assu

ID: 1296319 • Letter: A

Question

A highly elastic ball is dropped from a height of 2.8m onto a hard surface. Assume the collision is elastic and no energy is lost to air friction.

Part A

Determine the period of the motion.

Express your answer with the appropriate units.

T = ?

Part B

Is it simple harmonic motion? Why or why not?

No, it is not a simple harmonic motion. In the lowest point the velocity changes its sign nearly instantly, this cannot be described by sine or cosine function.

No, it is not a simple harmonic motion. In the highest point the acceleration is zero, that cannot be described by sine or cosine function.

Yes, it is a simple harmonic motion that can be described by sine or cosine function.

No, it is not a simple harmonic motion. The velocity is constant during this motion, this cannot be described by sine or cosine function.

Explanation / Answer

a) period = 2 * sqrt(2h/g) = 2*sqrt(2*2.8/9.8) = 1.511 sec

b)

it is not simple harmonic as the force is not proporational to deisplacement , it is constant in magnitude

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