A ball is tossed in the air and released.It moves up, reversedirection, falls ba

Question

A ball is tossed in the air and released.It moves up, reversedirection, falls back down again, and is caught at the same heightit was released. a. Considering the time interval after the ball is releasedand before it is caught, when does the gravitational potentionalenergy of the ball have its maximum value?Minimumvalue?Explain. b.When does kinetic energy of the ball have its maximumvalue?Minimum value?Explain. c. What about the mechanical energy of the ball?what can yousay about its value at the locations described in your answers to aand b? A ball is tossed in the air and released.It moves up, reversedirection, falls back down again, and is caught at the same heightit was released. a. Considering the time interval after the ball is releasedand before it is caught, when does the gravitational potentionalenergy of the ball have its maximum value?Minimumvalue?Explain. b.When does kinetic energy of the ball have its maximumvalue?Minimum value?Explain. c. What about the mechanical energy of the ball?what can yousay about its value at the locations described in your answers to aand b?

Explanation / Answer

(A): The interval at which the ball has it's greatest gravitationalpotential energy is 1/2 the time interval between being releasedand caught. This will put the ball at is's maximum height andzero velocity, which results in greatest gravitational PE. -- (B): The ball has its maximum KE at the point it is released andthe point it is caught, because: 1/2mv^2 = mgh -- So, the velocity given to obtain a height, will result in thesame KE when it caught at the height released. -- (C): The mechanical energy is directly related to the PE and KEdescribed above. When the ball is at maximum height, the ball hasno ME and all PE, but when the ball is released and caught, it doeshave ME. -- -- Hope this helps.

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