Problem 8-34 Elastic collision - Part 3 - C

A superball of mass \(22\; g\) rolls with a speed of \(3.5\; m/s\) toward another (stationary) superball of mass \(27\; g\). If the balls have a head-on elastic collision, what are the velocities magnitudes and directions) of the balls after the collision?
[Ans. \(3.1\; m/s\) forward and \(0.4\; m/s\) backward]

Accumulated Solution

Diagram of ball.

\(m_1\; v_1 = m_1\; v{_1}'+ m_2\; v{_2}' \\ 3.5 = v{_1}' + 1.227\; v{_2}' \; \text{Eqn. #1}\)

Correct!

The expression for conservation of kinetic energy is:

(A)  \(m_1\; v_1{^2} = m_1\; v{_1}'{^2} + m_2\; v{_2}'{^2}\)

(B)  \(½ \;m_1\; v{_1}{^2} = ½ m_1\; v{_1}'{^2} + ½m_2\; v{_2}'{^2}\)