A 70-g ball B dropped from a height h0 5 1.5 m reaches a

Chapter 13, Problem 13.186

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QUESTION:

A 70-g ball B dropped from a height \(h_{0} = 1.5 \ m\) reaches a height \(h_{2} = 0.25 \ m\) after bouncing twice from identical 210-g plates. Plate A rests directly on hard ground, while plate C rests on a foam-rubber mat. Determine (a) the coefficient of restitution between the ball and the plates, (b) the height \(h_{1}\) of the ball’s first bounce.

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QUESTION:

A 70-g ball B dropped from a height \(h_{0} = 1.5 \ m\) reaches a height \(h_{2} = 0.25 \ m\) after bouncing twice from identical 210-g plates. Plate A rests directly on hard ground, while plate C rests on a foam-rubber mat. Determine (a) the coefficient of restitution between the ball and the plates, (b) the height \(h_{1}\) of the ball’s first bounce.

ANSWER:

Problem 13.186

A 70 g ball B dropped from a height  reaches a height  after bouncing twice from identical 210 g plates. Plate A rests directly on the hard ground, while plate C rests on a foam rubber mat. Determine (a). The coefficient of restitution between the ball and the plates, (b) the height of the ball’s first bounce.

 

                                                        Step by Step Solution

Step 1 of 4

Given data:

The mass of the ball is

The height of the ball initially is

The height of the ball after second bounce is

The mass of each plate is

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