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Question

A body A of mass 150 kg, travelling at 20 m/s collides with a body B of mass 100 kg travelling at 10 m/s in the same direction. After collision the velocity of A becomes 15 m/s. What is the magnitude of velocity of B after the collision?

A
22.5 m/s
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B
17.5 m/s
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C
5 m/s
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D
12.5 m/s
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Solution

The correct option is C 17.5 m/s
Given : mA=150 kg uA=20 m/s mB=100 kg uB=10 m/s vA=15 m/s

Let the speed of B after the collision be vB.

Using conservation of linear momentum before and after the collision :
Pi=Pf

mAuA+mBuB=mAvA+mBvA

OR 150×20+100×10=150×15+100vB

vB=17.5 m/s

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