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The 'e' Equation

Two solid bal...

Question

Two solid balls of rubber $A$ and $B$ whose masses are $200 g m$ and $400 g m$ respectively, are moving in mutually opposite directions. if the velocity of ball A is $0.3 m / s$ and both the ball come to rest after collision, then the velocity of ball $B$ is :

0.15 m / s

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- 0.15 m / s

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1.5 m / s

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N o n e o f t h e s e

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Solution

The correct option is C $- 0.15 m / s$
Initial linear momentum of system

$= [m_{A} {\to v}_{A} + m_{B} {\to v}_{B}]$

$= 0.2 \times 0.3 + 0.4 \times v B$

Finally both balls come to rest \ final linear momentum = 0

By the law of conservation of linear momenum

$0.2 \times 0.3 + 0.4 \times v B = 0$

$[v_{B} = - \frac{0.2 \times 0.3}{0.4} = - 0.15 m / s]$

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Two solid balls of rubber A and B whose masses are 200 gm and 400 gm respectively, are moving in mutually opposite directions. if the velocity of ball A is 0.3 m/s and both the ball come to rest after collision, then the velocity of ball B is :

The correct option is C −0.15 m/sInitial linear momentum of system =[mA→vA+mB→vB]=0.2×0.3+0.4×vBFinally both balls come to rest \ final linear momentum = 0 By the law of conservation of linear momenum 0.2×0.3+0.4×vB=0[vB=−0.2×0.30.4=−0.15 m/s]

Two solid balls of rubber $A$ and $B$ whose masses are $200 g m$ and $400 g m$ respectively, are moving in mutually opposite directions. if the velocity of ball A is $0.3 m / s$ and both the ball come to rest after collision, then the velocity of ball $B$ is :