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Question

A ball is dropped vertically downwards, it hits the floor with a velocity of 9 m/s and bounces to a distance of 1.2 m. Coefficient of restitution between the floor and the ball is :

A.

0.54

B.

Zero

C.

1

D.

0.27

Answer ( Option A)

0.54

Solution

Given :

Velocity before hitting the floor (u1) = 9m/s

Distance travelled after hitting the floor (h2) = 1.2m

..Method 1..

       

Let, u and u1 be initial and final velocities before hitting the floor and u2 and u3 be initial and final velocities after hitting the floor.

Now, by using the law of motion,

Coefficient of restitution is given by,

Hence, the correct option is (A).

..Method 2..

By using conservation of energy,

Total Potential Energy (PE)

            = Total Kinetic Energy (KE)

Hence, the correct option is (A).

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