# Problem 8-86 Inelastic collision - A

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**

Correct!

Momentum conservation tells us that for this collision:

(A) \(m_1v_1 + m_2v_2 = m_1v_1{'} + m_2v_2{'} \quad \text{ where} \;v_2 = 0\)

(B) \(m_1v_1 + m_2v_2 = (m_1 + m_2)v{'} \quad \; \text{where} \; v_2 = 0\)

(C) \(m_1v_1 = m_1v_1{'} + m_2v_2{'}\)

(D) \(m_1v_1 = (m1 + m2)v'\)