Question

The mass of ball A is 10kg and the mass of ball B is 5kg. If the initial velocity is set to 3 meters per sec for each ball, what is the final velocity of ball B if the final velocity of ball A is 2 meters per second? Use the elastic collision equation to find the final velocity of ball B. Assume ball A initially moves from the right to left and ball B moves the opposite direction . Identify each mass, velocity, and unknown. Show your work inckuding units, and indicate the direction of ball B in your answer

Answer 1

Given:
M1 = 10km, V1 = -3 m/s.
M2 = 5kg, V2 = 3 m/s.
V3 = 2 m/s = Velocity of M1(ball A) after collision.
V4 = ? = Velocity of M2 (ball B) after collision.

Momentum before = Momentum after.
M1*V1 + M2*V2 = M1*V3 + M2*V4.
10*(-3) + 5*3 = 10*2 + 5*V4,
V4 = -7 m/s,Left = Velocity M2 after collision.