(B) Let the mass of each ball be $m$. The initial velocity of the first ball is $u = 9 \ m/s$ and the second ball is at rest $(u_2 = 0)$.According to

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(B) Let the mass of each ball be $m$. The initial velocity of the first ball is $u = 9 \ m/s$ and the second ball is at rest $(u_2 = 0)$.According to the Law of Conservation of Linear Momentum $(COLM)$ along the initial direction of motion:$m \times u = m \times v \cos 30^{\circ} + m \times v \cos 30^{\circ}$$m \times 9 = 2 \times m \times v \times \cos 30^{\circ}$$9 = 2 \times v \times \frac{\sqrt{3}}{2}$$9 = v \sqrt{3}$$v = \frac{9}{\sqrt{3}} = 3 \sqrt{3} \ m/s$Thus,the speed of both balls after the collision is $3 \sqrt{3} \ m/s$.

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

Medium

$A$ ball moving with a velocity of $9 \ m/s$ collides with another similar stationary ball. After the collision,both balls move in directions making an angle of $30^{\circ}$ with the initial direction. After the collision,their speed will be $-$

A
$\frac{5}{\sqrt{3}} \ m/s$
B
$3 \sqrt{3} \ m/s$
C
$\frac{10}{\sqrt{3}} \ m/s$
D
$52 \ m/s$

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Work, Energy, Power and Collision

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Inelastic Collision

$A$ ball is dropped from a height $h$ on a floor of coefficient of restitution $e$. The total distance covered by the ball just before the second hit is

MediumAP EAMCET 2008

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$A$ moving ball collides head-on with a similar ball at rest. If $\frac{1}{4}$ of the kinetic energy is lost during the impact,the value of the coefficient of restitution is:

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$A$ $2 \,kg$ ball moving at $24 \,ms^{-1}$ undergoes inelastic head-on collision with a $4 \,kg$ ball moving in the opposite direction at $48 \,ms^{-1}$. If the coefficient of restitution is $2/3$, their velocities in $ms^{-1}$ after impact are

EasyAP EAMCET 2004

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$A$ ball of mass $m$ moving with a velocity of $9 \ m/s$ collides with another ball of the same mass $m$ at rest. After the collision,both balls move at an angle of $30^\circ$ with the original direction of motion. Find the velocity $v$ of both balls after the collision. (in $m/s$)

Medium

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$A$ moving block having mass $m$ collides with another stationary block having mass $4m$. The lighter block comes to rest after the collision. If the initial velocity of the lighter block is $v$,then the value of the coefficient of restitution $(e)$ will be:

MediumNEET 2018

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$A$ ball moving with a velocity of $9 \ m/s$ collides with another similar stationary ball. After the collision,both balls move in directions making an angle of $30^{\circ}$ with the initial direction. After the collision,their speed will be $-$

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