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A ball of mass m1 experince a perfectly elastic collision with a stationary ball of mass m2. what fraction of the K.E does the striking the ball lose , if (i)It recoils at right angle to the original direction of motion and (ii) the collision is head on one

A ball of mass m1 experince a perfectly elastic collision with a stationary ball of mass m2. what fraction of the K.E does the striking the ball lose , if (i)It recoils at right angle to the original direction of motion and (ii) the collision is head on one

Grade:11

1 Answers

SAGAR SINGH - IIT DELHI
879 Points
10 years ago

Dear student,

Consider the two balls of masses M and m, moving with velocities U and u (U > u). They both are moving in the same direction. They collide each other so that the velocities are V and v after collision, respectively.

 Elastic Colllision

                                                Image of the elastic collision

The kinetic energy is conserved.

½ MU2 + ½ mu2 = ½ MV2 + ½ mv2                             ….(1)

Now linear momentum s conserved.

MU + mu = MV + mv                                                  ….(2)

By solving these two equations we get the final velocities of the colliding bodies.

 

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Askiitians Expert

Sagar Singh

B.Tech, IIT Delhi

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