A sphere of mass 50 xx 10^(-3)kg moving with a velocity of 2ms^(-1) hits another sphere which is at rest. Assuming the collision to be head-on collision and if they stick together after collision and move in the same direction with a velocity of 0.5 ms^(-1), find the mass of the second sphere

A sphere of mass 50 xx 10^(-3)kg moving with a velocity of 2ms^(-1) hi

1.	A sphere of mass 50 xx 10^(-3)kg moving with a velocity of 2ms^(-1) hits another sphere which is at rest. Assuming the collision to be head-on collision and if they stick together after collision and move in the same direction with a velocity of 0.5 ms^(-1), find the mass of the second sphere
Answer» SOLUTION :`m_(1) = 50 xx 10^(-3) KG, u_(1)= 2ms^(-1), u_(2)= 0, v= 0.5 ms^(-1), v= v_(1)= v_(2)= 0.5 ms^(-1)` `m_(1)u_(1) + m_(2) u_(2)= (m_(1) + m_(2))v` `(50 xx 10^(-3))(2) + m_(2) (0) =[(50 xx 10^(-3))+ m_(2)] 0.5` `m_(2)= (50 xx 10^(-3) xx 2 - 50 xx 10^(-3) xx 0.5)/(0.5)` `=((100-25))/(0.5) xx 10^(-3)= 150 xx 10^(-3) kg`