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Q.

A ball moving with velocity 2 m/s, collides head-on with another stationary ball of double the mass. If the coefficient of restitution is 0.5, then their velocities (in m/s) after collision will be :

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a

0, 2

b

0, 1

c

1, 1

d

1, 0.5

answer is B.

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Detailed Solution

m1=m,m2=2m,u1=2m/s,v2=0,e=0.5v2−v1u1−u2=0.5v2−v1=2×0.5=1from conservation of momentumm×2+0=mv1+2mv22=v1+2v21=v2−v11=v2−v1 Solving v2=1,v1=0

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A ball moving with velocity 2 m/s, collides head-on with another stationary ball of double the mass. If the coefficient of restitution is 0.5, then their velocities (in m/s) after collision will be :