Question

A very heavy vehicle and a small vehicle are moving with velocity v. they both suffer collision with each other and ultimately come to rest after the collision. of the lasts for 1 second , then answer the following questions.

1. which of the two will experience greater force.

2. which of the two experience bigger change in momentum.

3. why the small suffer more damage?​

Answer 1

Is the answer of the question you asked.

Answer 2

Explanation:

Solution

Let the mass of the truck be M and that of the car be m.

Thus, M > m

Initial velocity of both vehicles, v

Final velocity of both vehicles, v’ = 0 (since the vehicles come to rest after collision)

Time of impact, t = 1 s

(a) From Newton’s second law of motion, the net force experienced by each vehicle is given by the relation:

Since the mass of the truck is greater than that of the car, it will experience a greater force of impact.

(b) Initial momentum of the car = mv

Final momentum of the car = 0

Change in momentum = mv

Initial momentum of the truck = Mv

Final momentum of the truck = 0

Change in momentum = Mv

Since the mass of the truck is greater than that of the car, it will experience a greater change in momentum.