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  • A ball collides elastically with another ball of the same mass. The collision is oblique and initially one of the balls was at rest . After the collision , the two balls move with the same spe

A ball collides elastically with another ball of the same mass. The collision is oblique and initially one of the balls was at rest . After the collision , the two balls move with the same speed. What will the angle (in degree) between the velocity of balls after the collision  

Option: 1

30


Option: 2

45


Option: 3

60


Option: 4

90


Answers (1)

best_answer

As we have learned

Equal mass in case of perfectly elastic collision -

v_{1}= u_{2} \: and \: v_{2}= u_{1}

- wherein

Velocity mutualy interchange

 

 x-axis   

 m u = mv_1 \cos \theta _1 + mv_2 \cos \theta _2......(1)

y -axis   

0 = v_1 \sin \theta _1 + v_2 \sin \theta _2......(2)

\frac{1}{2} mu^2 = \frac{1}{2} mv_1 ^2 + \frac{1}{2} mv_{2}^{2}

u ^ 2 = v _{1}^{2} + v _{2}^{2} ....(3 ) \\\\ (1) ^2 + (2)^2

u ^ 2 = v _{1}^{2} + v _{2}^{2} + 2 v _ 1 v _2 [ \cos (\theta _1+ \theta _2)] ....(4)

By (3) and (4) 

\cos \left ( \theta _1 + \theta _2 \right ) = 0

\left ( \theta _1 + \theta _2 \right ) = 90 \degree

Posted by

Rishabh

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