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Momentum is the ability of imparting or ...

Momentum is the ability of imparting or tending to motion to other bodies. The total momentum of a system remains conserved if no external force is acting it. This is calculated by the formula, `vecp=mvecv`. Consider a situation where a cart carrying five boys is moving without friction due to inertia along a straight horizontal road, with a speed of `10m//s`. After travelling certain distance, a boy jumps from the cart with a speed of `2m//s with respect to the cart in opposite direction to it. Then, second boy jumps with the same speed w.r.t. the cart, but in a perpendicular direction to the cart. The mass of the cart is 100 kg and mass of each boy is 20 kg.
Which of the following statement is true?

A

Linear momentum can't be conserved as boys are jumping out.

B

Even after jumping, momentum of the system is conserved.

C

Momentum is conserved between the jumping of first and second boy.

D

Momentum is said to be conserved as no external force is acting.

Text Solution

Verified by Experts

The correct Answer is:
B
`sumvecF_(sys)^(ext)=0" "rArr" "vecP_(sys)=constant`
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