A 4350 kg truck, driving 7.39 m/s, runs into the back of a stationary car. After the collision, the truck moves 4.55 m/s and the car moves 11.5 m/s, both in the same direction. What is the mass of the car?

Question

Physics

Tomas Warren

28 May, 08:14

A 4350 kg truck, driving 7.39 m/s, runs into the back of a stationary car. After the collision, the truck moves 4.55 m/s and the car moves 11.5 m/s, both in the same direction. What is the mass of the car?

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Answers (1)

Know the Answer?

Kailyn Short · Answer 1

Mass of car = 1098 kg

Explanation:

Here law of conservation of momentum is applied.

Let mass of car be m.

Initial momentum = Final momentum.

Initial momentum = 4350 x 7.39 + m x 0 = 32416.5 kgm/s

Final momentum = 4350 x 4.55 + m x 11.5 = 19792.5+11.5m

We have

19792.5+11.5m = 32416.5

m = 1097.97 kg

Mass of car = 1098 kg