A ball of mass 5 kg dropped from a five meter height on a smooth floor. If the coefficient of restitution between the ball and the floor is 0.6. The following is required; Using Newton’s equations of motion for constant acceleration determine the velocity of the ball on hitting the floor Using conservation of mechanical energy determine the rebound velocity,  The maximum height it rises after it bounces off the floor,

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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A ball of mass 5 kg dropped from a five meter height on a smooth floor. If the coefficient of restitution between the ball and the floor is 0.6. The following is required;
Using Newton’s equations of motion for constant acceleration determine the velocity of the ball on hitting the floor
Using conservation of mechanical energy determine the rebound velocity, 
The maximum height it rises after it bounces off the floor, 
The impulse exerted by the floor on the ball, 
The dissipated energy. 
If the time of impact is 10-5 seconds, determine the magnitude of the impulsive force exerted on the ball by the floor during impact. 

Expert Solution
Step 1

Hello. Since your question has multiple sub-parts, we will solve the first three sub-parts for you. If you want remaining sub-parts to be solved, then please resubmit the whole question and specify those sub-parts you want us to solve.

Step 2

The height of the ball from the ground is given as,

Mechanical Engineering homework question answer, step 2, image 1

The initial velocity of the ball is given as,

Mechanical Engineering homework question answer, step 2, image 2

The acceleration is given as,

Mechanical Engineering homework question answer, step 2, image 3

The velocity of the ball on hitting the floor is calculated by using Newton’s equation of motion,

Mechanical Engineering homework question answer, step 2, image 4

The velocity of the ball on hitting the floor is 9.905 m/s.

 

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