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Q.

A ball B of mass m is lying at rest on the top surface of a smooth horizontal table 5 m high. Another moving ball A of same mass makes on elastic collision with B and B slides off the table and strikes the floor at a horizontal distance of 10 m from the table. Then select the correct alternative (s)  (g=10ms2)

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a

The kinetic energy of the  ball B at the time of striking the ground is (m×100)J

b

The velocity of the ball A before collision is 10ms1

c

The kinetic energy of the ball B at the time when it strikes the ground is (50×m)J

d

The velocity of the ball A before collision is   5ms1

answer is B, C.

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Detailed Solution

Horizontal velocity of the ball B at the time when it strikes the ground is vu, then  10=vu×t
 10=vB×2×5g=vu1010=vb vb=10ms1
Since collision is perfectly elastic and mass of ball A and that of B are same, therefore, velocity of ball A, before collision is also 10ms1 

So, option (C) is correct
KE=12mv2=12m[(10)2+(10)2]2 KE=12m×2×100=(m×100)J

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