Q.

A particle A of mass m initially at rest slides down a height of 1.25 m on a frictionless ramp, collides with and sticks to an identical particle B of mass m at rest as shown in the figure.Then, particles A and B together collide elastically with particle C of mass 2m at rest. The speed of particle C after the collision with combined body (A + B) would be (Take, g=10ms-2)

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a

2 ms-1

b

1.25 ms-1

c

2.5 ms-1

d

5 ms-1

answer is C.

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Detailed Solution

Velocity of A just before collision                 =2gh=2×10×1.25=5 ms-1Velocity of (A + B) just after collision =52=2.5 ms-1In elastic collision between two bodies of equal masses, velocities are interchanged.Hence, velocity of C will become 2.5 ms-1
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