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Question

# An object of mass 2 kg is moving with a velocity of 3 m/s and collide head-on with an object B of mass 1 kg moving in the opposite direction with a velocity of 4 m/s. after the collision, both objects coalesce so that they move with a common velocity v equal to

A
23m/s
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B
1 m/s
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C
2 m/s
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D
3 m/s
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Solution

## The correct option is A 23m/sNet momentum before collision is 2kg×3m/s+(−1kg×4m/s)=2Kgm/s, negative sign because in opposite direction.After the collision the get stuck to each other so the mass becomes 1+2=3kg if the new velocity is v then the new momentum should be equal to the old one, so 3v=2 or v=23m/s in the direction of original direction of 2kg

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