A billiard ball traveling at 8.0 m/s has an elastic collision with a second billiard ball of equal mass that is at rest. After

the collision, the first ball is at rest. What is the velocity of the second ball after the collision?

2 answers

v1=8m/s, v2=0 , m1=m2->m , v=?
m1*v1+m2*v2=(m1+m2)*v
m*8+m*0=(m+m)*v
8m=2m*v
8m/2m=v
4=v

v=4m/s
Anything that hits something of the same mass will transfer the velocity to the other object while coming to a rest itself so the velocity of 8 would be given to the other billboard ball. additionally within the question itself elastic collision is mention and elastic collision means a collision where both the momentum and kinetic energy is conserved meaning that the momentum doesn't change