A body of mass m moves with velocity v in the | vedclass

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(C) According to the law of conservation of linear momentum,the initial momentum of the system must equal the final momentum.Initial momentum in the E

Vedclass · Accepted Answer

$v/\sqrt{2}$

Vedclass · Answer

(C) According to the law of conservation of linear momentum,the initial momentum of the system must equal the final momentum.Initial momentum in the East direction: $P_x = mv$.Initial momentum in the North direction: $P_y = mv$.The magnitude of the total initial momentum is $P_i = \sqrt{P_x^2 + P_y^2} = \sqrt{(mv)^2 + (mv)^2} = \sqrt{2}mv$.The final momentum of the combined body of mass $2m$ moving with velocity $V$ is $P_f = 2mV$.Equating initial and final momentum: $\sqrt{2}mv = 2mV$.Solving for $V$: $V = \frac{\sqrt{2}mv}{2m} = \frac{v}{\sqrt{2}}$.

$A$ body of mass $m$ moves with velocity $v$ in the East direction,and another body of the same mass moves with velocity $v$ in the North direction. After they collide and stick together,what is the combined velocity of the resulting body of mass $2m$?

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