A truck of mass 2750 kg travelling at 14 m/s along a straight road is being followed by a car of mass 1250 kg moving at 22 m/s. Find the speed (in cm/s) of the truck relative to their common centre of mass.

Engineering

Physics

Center of Mass

Momentum and Energy Conservation for System of Particles

Relative Motion

Question

A truck of mass 2750 kg travelling at 14 m/s along a straight road is being followed by a car of mass 1250 kg moving at 22 m/s. Find the speed (in cm/s) of the truck relative to their common centre of mass.

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$v_{c} = \frac{2750 \times 14 + 1250 \times 22}{2750 + 1250} = 216 .5 m / s$

v_TC = 14 – 16.5 = –2.5 m/s = 250 cm/s