Two Balls Of Masses 200 Kg Moving In The Same Direction With Velocities 2 M/S And 1 M/S Respectively Collide With Each Other. If The Velocity Of Ball

Two balls of masses 200 kg moving in the same direction with velocities 2 m/s and 1 m/s respectively collide with each other. If the velocity of ball mass 200 get after collision becomes 1.165 m/s . Find the velocity of other ball.

 

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Problem:

Two balls of masses 200 kg moving in the same direction with velocities 2 m/s and 1 m/s respectively collide with each other. If the velocity of ball mass 200 get after collision becomes 1.165 m/s . Find the velocity of other ball.

                    Before Collision                After Collision

                 Mass          Velocity         Mass          Velocity

Ball 1        200 kg         2 m/s         200 Kg         1.165 m/s    

Ball 2        200 Kg        1 m/s          200 Kg               ?

Solution:

     Momentum before collision = Momentum after Collision

(200Kg ×2m/s) + (200Kg×1m/s)  = (200 Kg ×1.165 m/s)  + 200 Kg (V)

         400 kg.m/s + 200 kg.m/s = 233 kg.m/s + 200 Kg (V)

                               600 kg.m/s  = 233 kg.m/s + 200 Kg (V)

600kg.m/s -233 kg.m/s/200 Kg = V

                 367 kg.m/s / 200 kg  = V

                                 1.835 m/s   = V

Answer:

velocity of other ball is 1.835 m/s