First slide

Coefficient of restitution

Question

A body of mass 1 kg, moving with velocity 10 m/s collide inelastically head-on with another body of mass 2 kg moving in the same direction. After the collision, the first body continues to move in the same direction with velocity 6 m/s. If e = 0.5, find the velocity of centre of mass of the two bodies.

Moderate

A

4.2 m/s
B

3.47 m/s
C

6.25 m/s
D

7.33 m/s

Solution

(4)
$\begin{array}{l} (1 + e) V_{C} = V_{1} + e u_{1} \\ \Rightarrow V_{C} = \frac{V_{1} + e u_{1}}{1 + e} = \frac{6 + 0.5 \times 10}{1 + 0.5} m / s = 7.33 m / s . \end{array}$

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