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

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(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 $2m$?

Similar Questions

$A$ body of mass $2 \ kg$ is moving with a velocity of $36 \ km/h$. It collides inelastically with a stationary body of mass $3 \ kg$. The loss in kinetic energy is ..... $J$.

$A$ metal ball of mass $2 \ kg$ moves with a speed of $36 \ km/hr$. It collides with a stationary ball of mass $3 \ kg$. If both balls move together after the collision,the loss in kinetic energy due to the collision is ........... $J$.

Two bodies $A$ and $B$ of same mass undergo a completely inelastic one-dimensional collision. The body $A$ moves with velocity $v_1$ while body $B$ is at rest before the collision. The velocity of the system after the collision is $v_2$. The ratio $v_1: v_2$ is

$A$ mass $m$ moving horizontally (along the $x-$axis) with velocity $v$ collides and sticks to a mass of $3m$ moving vertically upward (along the $y-$axis) with velocity $2v$. The final velocity of the combination is

$A$ bag of sand of mass $M$ is suspended by a string. $A$ bullet of mass $m$ is fired at it with velocity $v$ and gets embedded into it. The loss of kinetic energy in this process is

Vedclass Test Series

Exam Paper Generator

Online Exam Module