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A truck of mass 500 kg moving at 4 m/s collides with another truck of mass 1500 kg moving in the same direction at 2 m/s.

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A truck of mass 500 kg moving at 4 m/s collides with another truck of mass 1500 kg moving in the same direction at 2 m/s. What is their common velocity just after the collision if they move off together?

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Mass of first truck, m1 = 500 kg

Speed of first truck, u1 = 4 m/s

Mass of second truck, m2 = 1500 kg

Speed of second truck, u2 = 2 m/s

Combined mass of both trucks, m = 1500 + 500 = 2000 kg

Combined velocity v

Acc. to the law of conservation of momentum

m1u1 + m2u2 = mv

500 x 4 + 1500 x 2 = 2000 x v

v = \(\frac{2000 + 3000}{2000}\) = 2.5 m/s

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