In: Physics
. Two masses travel toward each other across a horizontal, frictionless surface. They collide, resulting in 100 Joules of kinetic energy being lost. Below is a list of the known quantities. Mass#1 = 5.00 kg and has an initial velocity of 10.0 m/s to the right and a final velocity of 3.00 m/s to the right. Mass#2 = unknown and has an initial velocity of 4.00 m/s to the left and a final velocity that is unknown. What is the mass and final velocity of Mass#2?




(negative sign indicates the direction of motion of m2 initially is towards left)
Conserving momentum of two masses before and after collsion,



------(1)
Loss in kinetic energy of system , 


----(2)
Dividing (2) by (1)



Substituting above value in (1) 
Unknown mass
and its final velocity   
towards right.