Two perfectly elastic spheres of masses 2kg and 3kg moving in opposite directions with velocities 8 ms^(-1) and 6 ms^(-1) respectively collide with each other. Find their velocities after the impact

Two perfectly elastic spheres of masses 2kg and 3kg moving in opposite

1.	Two perfectly elastic spheres of masses 2kg and 3kg moving in opposite directions with velocities 8 ms^(-1) and 6 ms^(-1) respectively collide with each other. Find their velocities after the impact
Answer» Solution :Here `m_(1)= 2KG, m_(2)= 3kg` `u_(1)= 8ms^(-1), u_(2)= -6 ms^(-1)` According to the law of conservation of LINEAR momentum `m_(1)u_(1) + m_(2)u_(2)- m_(1)v_(1) + m_(2)v_(2)` i.e., `(2)(8) + (3) (-6) = 2v_(1) + 3v_(2)` `rArr 2v_(1) + 3v_(2) = -2` ....(i) SINCE the collision is elastic, `u_(1)-u_(2)= v_(2)-v_(1)` i.e., `8-(-6)= v_(2)-v_(1)` `rArr v_(2)-v_(1)= 14` ...(ii) On SOLVING the equations (i) and (ii) we get `v_(1)= -8.8 ms^(-1), v_(2)= 5.2 ms^(-1)`