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Question

In a figure shown, the two identical balls of mass M and radius R each, are placed in contact with each other on the frictionless horizontal surface. The third ball of mass M and radius R/2, is coming down vertically and has a velocity= v0 when it simultaneously hits the two balls and itself comes to rest. Then, each of the two bigger balls will move after collision with a speed equal to
1433118_c9a5664c2c13436389da7e9c2c9e3669.png

A
4v05
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B
2v05
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C
v05
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D
None
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Solution

The correct option is C v05
From thew figure,

Fdtcosθ=Mv .............(1)

Fdtsinθ=0Mv0

Fdtsinθ=Mv0 .........(2)

From equation (1) and (2),

tanθ=v0v ..........(3)

From AOC

tanθ=5R/2R/2=5

5=v0v

v=v05

1474774_1433118_ans_b0e9bded44af4256bec15424b1eb5703.PNG

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