(C) According to the law of conservation of linear momentum,the total momentum before the collision is equal to the total momentum after the collision

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(C) According to the law of conservation of linear momentum,the total momentum before the collision is equal to the total momentum after the collision.Let the mass of the first body be $m_1 = 2\, kg$ and its velocity be $u_1 = 3\, m/s$.Let the mass of the second body be $m_2 = 1\, kg$ and its velocity be $u_2 = -4\, m/s$ (since it is moving in the opposite direction).Let the common velocity after the collision be $v$.Using the conservation of momentum: $m_1 u_1 + m_2 u_2 = (m_1 + m_2) v$.Substituting the values: $(2 \times 3) + (1 \times -4) = (2 + 1) v$.$6 - 4 = 3v$.$2 = 3v$.$v = 2/3\, m/s$.

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

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$A$ body of mass $2\, kg$ moving with a velocity of $3\, m/s$ collides head-on with a body of mass $1\, kg$ moving in the opposite direction with a velocity of $4\, m/s$. After the collision,the two bodies stick together and move with a common velocity. The common velocity in $m/s$ is equal to:

A
$1/4$
B
$1/3$
C
$2/3$
D
$3/4$

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Perfectly Inelastic Collision

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$A$ body of mass $2\, kg$ moving with a velocity of $3\, m/s$ collides head-on with a body of mass $1\, kg$ moving in the opposite direction with a velocity of $4\, m/s$. After the collision,the two bodies stick together and move with a common velocity. The common velocity in $m/s$ is equal to:

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$A$ body of mass $2 \, kg$ moving with a velocity $(\hat{i} + \hat{j} + \hat{k}) \, m/s$ collides with another body of mass $5 \, kg$ moving with velocity $(\hat{i} - 2\hat{j} + 3\hat{k}) \, m/s$. If they stick together,the velocity (in $m/s$) of the composite body is:

$A$ body of mass $4\, kg$ moving with velocity $12\, m/s$ collides with another body of mass $6\, kg$ at rest. If two bodies stick together after collision,then the loss of kinetic energy of the system is .............. $J$.

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

$A$ bullet weighing $10 \,g$ and moving with a velocity $300 \,m/s$ strikes a $5 \,kg$ block of ice and gets embedded in it. The ice block is kept on a smooth surface. The speed of the block after the collision is ........ $cm/s$.

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