(C) Initial momentum of the system is given by:$\vec{P}_i = mv\hat{i} + mv\hat{j}$Magnitude of initial momentum:$|\vec{P}_i| = \sqrt{(mv)^2 + (mv)^2}

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(C) Initial momentum of the system is given by:$\vec{P}_i = mv\hat{i} + mv\hat{j}$Magnitude of initial momentum:$|\vec{P}_i| = \sqrt{(mv)^2 + (mv)^2} = \sqrt{2}mv$Final momentum of the system after coalescence is:$\vec{P}_f = (2m)\vec{V}$By the law of conservation of linear momentum,$\vec{P}_i = \vec{P}_f$:$\sqrt{2}mv = 2mV$Solving for $V$:$V = \frac{\sqrt{2}mv}{2m} = \frac{v}{\sqrt{2}}$

Class 11 Physics Work, Energy, Power and Collision Perfectly Inelastic Collision

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$A$ particle of mass $m$ moving eastward with a speed $v$ collides with another particle of the same mass moving northward with the same speed $v$. The two particles coalesce on collision. The new particle of mass $2m$ will move in the north-easterly direction with a velocity

A
$v/2$
B
$2v$
C
$v/\sqrt{2}$
D
$v$

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Work, Energy, Power and Collision

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Perfectly Inelastic Collision

$A$ 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 ..... $J$.

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$A$ body of mass $2 \, kg$ is moving with velocity $10 \, m/s$ towards the east. Another body of the same mass and same velocity moving towards the north collides with the former,coalesces,and moves towards the north-east. What is its final velocity?

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$A$ scooter of $40\,kg$ mass moving with velocity $4\,m/s$ collides with another scooter of $60\,kg$ mass moving with velocity $2\,m/s$ in the same direction. After the collision,the two scooters stick to each other. The loss in kinetic energy is .............. $J$.

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$A$ particle of mass $m$ moving with velocity $v$ collides with a stationary particle of mass $2m$. After collision,they stick together and continue to move together with velocity ........

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$A$ particle of mass $m$ moving eastward with a speed $v$ collides with another particle of the same mass moving northward with the same speed $v$. The two particles coalesce on collision. The new particle of mass $2m$ will move in the north-easterly direction with a velocity

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 ..... $J$.

$A$ body of mass $2 \, kg$ is moving with velocity $10 \, m/s$ towards the east. Another body of the same mass and same velocity moving towards the north collides with the former,coalesces,and moves towards the north-east. What is its final velocity?

$A$ scooter of $40\,kg$ mass moving with velocity $4\,m/s$ collides with another scooter of $60\,kg$ mass moving with velocity $2\,m/s$ in the same direction. After the collision,the two scooters stick to each other. The loss in kinetic energy is .............. $J$.

$A$ particle of mass $m$ moving with velocity $v$ collides with a stationary particle of mass $2m$. After collision,they stick together and continue to move together with velocity ........

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