A sphere of mass 50xx10^(-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 50xx10^(-3) kg moving with a velocity of 2ms^(-1) hit

1.	A sphere of mass 50xx10^(-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)=50xx10^(-3)kg, u_(1)=2 MS^(-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` `(50xx10^(-3))(2)+m_(2)(0)=[(50xx10^(-3))+m_(2)]0.5` `m_(2)=(50xx10^(-3)xx2-50xx10^(-3)xx0.5)/(0.5)` `= ((100-25))/(0.5)xx10^(-3)=150xx10^(-3)kg`