Question

A small car meshes with a large truck in a head-on collision. Which of the following statements concerning the magnitude of the momentum change during the collision is correct? a) The small car and the truck experience the same magnitude momentum change.b) The small car experiences the greater magnitude momentum change.c) The magnitude of the momentum change experienced by each one is directly proportional to its mass.d) The truck experiences the greater magnitude momentum change.e) The magnitude of the momentum change experienced by each one is inversely proportional to its mass.

Answer 1

Answer:

A) The small car and the truck experience the same magnitude momentum change.

Explanation:

From the conservation of momentum, whatever magnitude of momentum is lost by one of the vehicles will be gained by the other vehicle and momentum will be conserved. For example if the small car losses a momentum with a magnitude of 10 kg.m/s, the large truck will gain a momentum with a magnitude of 10 kg.m/s and hence the momentum is conserved.

In summary, the small car and the truck experience the same magnitude momentum change.

Answer 2

The small car and the truck experience the same magnitude of momentum change. Hence, option (a) is correct.

The given problem is based on the concept of momentum and law based on it, which is known as Conservation of momentum. As per the law of conservation of momentum, "Whenever there is a collision between the two objects, then the change in momentum before collision is equal to the change in momentum after the collision".

• From the conservation of momentum, whatever magnitude of momentum is lost by one of the vehicles will be gained by the other vehicle and momentum will be conserved.
• For example if the small car losses a momentum with a magnitude of 10 kg.m/s, the large truck will gain a momentum with a magnitude of 10 kg.m/s and hence the momentum is conserved.

Thus, we can conclude that the small car and the truck experience the same magnitude of momentum change. Hence, option (a) is correct.

Learn more about the conservation of linear momentum here:

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