Momentum is the ability of imparting or tending to import 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 `vec(p)= m vec(v)`.
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 10 m/s. After travelling certain dfistance a boy jumps from the cart with a speed of 2 m/s with respect to 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.
Answer the following questions.
Which of the following statement is true ?

Options

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.

Answer

B