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Q.

A body of mass m1  moving with a velocity 3 ms–1 collides with another body at rest of mass m2. After collision the velocities of the two bodies are 2 ms–1 and 5ms–1 respectively along the direction of motion of  m1. The ratio m1 / m2  is

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a

512

b

5

c

15

d

125

answer is B.

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Detailed Solution

If target is at rest then final velocity of bodies are v1=m1−m2m1+m2 u1   …(i) and v2=2m1u1m1+m2   …(ii)From (i) and (ii)  v1v2=m1−m22m1=25⇒m1m2=5
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A body of mass m1  moving with a velocity 3 ms–1 collides with another body at rest of mass m2. After collision the velocities of the two bodies are 2 ms–1 and 5ms–1 respectively along the direction of motion of  m1. The ratio m1 / m2  is