Question

Let two objects of equal mass m collide. Object 1 has initial velocityv, directed to the right, and object 2 isinitially stationary.

If the collision is perfectly elastic, whatare the final velocities v_1 and v_2 of objects 1 and 2?

Answer 1

Our equation 1 would be
m*v=M*V1+m*V2
v=V1+V2
v-V1=V2

the equation 2 would look like this
V^2=V1^2+V2^2
V^2-V1^2=V2^2
(V-V1)*(V+V1)=V2^2Dividing with the 1
V+V1=V2