(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

Medium

$A$ 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

An object of mass $80 \,kg$ moving with velocity $2 \,ms^{-1}$ collides with another object of mass $20 \,kg$ moving with velocity $4 \,ms^{-1}$. Find the loss of energy assuming a perfectly inelastic collision. ........... $J$

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Two balls of masses $m$ each are moving at right angles to each other with velocities $6 \, m/s$ and $8 \, m/s$ respectively. If the collision between them is perfectly inelastic,the velocity of the combined mass is ......... $m/s$.

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In perfectly inelastic collisions,the relative velocity of the bodies

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$A$ block of mass $m$ moving along a straight line with constant velocity $3 \vec{V}$ collides with another block of the same mass at rest. They stick together and move with a common velocity. The common velocity is:

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Two identical masses $M$ moving with velocities $\mu_1$ and $\mu_2$ collide perfectly inelastically. The loss in energy is

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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

An object of mass $80 \,kg$ moving with velocity $2 \,ms^{-1}$ collides with another object of mass $20 \,kg$ moving with velocity $4 \,ms^{-1}$. Find the loss of energy assuming a perfectly inelastic collision. ........... $J$

Two balls of masses $m$ each are moving at right angles to each other with velocities $6 \, m/s$ and $8 \, m/s$ respectively. If the collision between them is perfectly inelastic,the velocity of the combined mass is ......... $m/s$.

In perfectly inelastic collisions,the relative velocity of the bodies

$A$ block of mass $m$ moving along a straight line with constant velocity $3 \vec{V}$ collides with another block of the same mass at rest. They stick together and move with a common velocity. The common velocity is:

Two identical masses $M$ moving with velocities $\mu_1$ and $\mu_2$ collide perfectly inelastically. The loss in energy is

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