A 3000 kg truck moving rightward with a speed of 5 km/h collides head on with a 1000 kg car moving leftward with a speed of 10 km/h. The two vehicles strike together after the collision. Determine the post-collision velocity of the car and truck.
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Answer:
The answer is 1.25 km/h rightward.
Explanation:
i) The law of conservation of momentum is applicable here.
ii) Given data:
Mass of truck (m1) = 3000 kg
Mass of car (m2) = 1000 kg
Initial velocity of truck (u1) = 5 km/h
Initial velocity of car (u2) = -10 km/h
Final velocity after collision (v) = ? km/h
iii) According to law of conservation of momentum:
Initial momentum = Final momentum
m1u1 + m2u2 = (m1 + m2)v
3000 x 5 - 1000 x 10 = (3000 + 1000)v
v = 5000/4000 = 1.25 km/h
iv) Hence, post-collision velocity of the car and the truck is 1.25 km/h rightward.
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