A ball with a mass of #2 kg# is rolling at #7 m/s# and elastically collides with a resting ball with a mass of #4 kg#. What are the post-collision velocities of the balls?
v1 = -2,33 m/s
v2 = 4,66 m/s
in the elastic collisions remain constant both the total kinetic energy both the momentum. Therefore:
replacing the values in the equation of conservation of momentum, you find:
that you put in the equation of conservation of energy.
Resolving the second degree equation, you find:
If You put in the (1), you find:
If you put the values in the equation of conservation of energy, you find that it is verified