Problem 8-86 Inelastic collision - Part 2 - D
A large ball of modeling clay \((\text{mass}\; 4.5 \times 10^2\; g)\) is rolled on a tabletop so that it collides with a stationary small wooden box \((\text{mass} \; 7.9\times 10^2\; g)\). The collision is completely inelastic, and the ball and box then slide on the table for a distance of \(5.1 \;cm\). If the speed of the ball is \(2.2\; m/s\) just before the collision, determine: (a) the speed of the ball and box just after the collision (b) the magnitude of the friction force acting on the ball and box.
Accumulated Solution
\(m_1v_1 + m_2v_2 = (m_1 + m_2)v' \quad \; \text{where}\; v_2 = 0\)
Correct
\(m_1v_1 = (m_1 + m_2)v{'} \\ \text{with} \\ m_1 = 4.5\times 10^2 \;g \\ m_2 = 7.9 \times 10^2\; g \\ v_1 = 2.2\; m/s \\ v_2 = 0\)
Before continuing calculate \(v'\)