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JEE Main 202124 FebruaryMorning Shift

Exam: JEE Main
Year: 2021
Date: 24 February
Shift: Morning Shift
Subject: Physics
Chapter: Center of Mass, Momentum and Collision

JEE Main 2021 · 24 February · Morning Shift · Physics · Center of Mass, Momentum and Collision

A ball with a speed of 9m s ^ - 1 collides with another identical...

A ball with a speed of

9m{s}^{- 1}

collides with another identical ball at rest. After the collision, the direction of each ball makes an angle of

30 °

with the original direction. If the ratio of velocities of the balls after the collision is

x: y

, then what is the value of

x

?

A ball with a speed of 9m s ^ - 1 collides with another identical ball at rest. After the collision, the direction of

Correct answer

0

Step-by-step solution

A ball with a speed of 9m s ^ - 1 collides with another identical ball at rest. After the collision, the direction of

From conservation of momentum along $y -$ axis.

$\overset{\to}{P}iy = \overset{\to}{P}fy$

$0 + 0 = m{v}_{1}\sin 30 ° \overset{^}{j} + m{v}_{2}\sin 30 ° \left(- \overset{^}{j}\right)$

$m{v}_{2}\sin 30 ° = m{v}_{1}\sin 30 °$

${v}_{2} = {v}_{1}$ or $\dfrac{{v}_{1}}{{v}_{2}} = 1$

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