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Relation between Linear and Angular Speed

Two bodies ha...

Question

Two bodies having same mass $40 k g$ are moving in opposite directions, one with a velocity of $10 m / s$ and the other with $7 m / s$ . If they collide and move as one body, the velocity of the combination is

A

10 m / s

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B

7 m / s

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C

3 m / s

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D

1.5 m / s

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Solution

The correct option is D $1.5 m / s$
By the conservation of momentum
$40 \times 10 + (40) \times (- 7) = 80 \times V$
$V = 1.5 m / s$

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