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Q.

A sphere of mass 2 kg moving with a velocity collides elastically with another sphere which is at rest.  If after the collision the first sphere moves in the same direction with its velocity reduced to 1/4 of its initial velocity, find the mass of the second sphere

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a

8 kg

b

2 kg

c

6 kg

d

1.2 kg

answer is D.

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Detailed Solution

u14=v1=m1−m2m1+m2u1             m1+m2=4m1−4m2             5m2=3m1             m2=3×25=1.2kg
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A sphere of mass 2 kg moving with a velocity collides elastically with another sphere which is at rest.  If after the collision the first sphere moves in the same direction with its velocity reduced to 1/4 of its initial velocity, find the mass of the second sphere