Question

Akhtar,Kiran and Rahul were riding in a motorcar that was moving with a high velocity on an expressway when an insect hit the windshield and got struck on the windscreen. Akhtar and Kiran started pondering over the situation. Kiran suggested that the insect suffered a greater change in momemtum as compared to the change in momentum(because the change in velocity of the insect was much more than that of the motorcar).Akhar said that since the motorcar was moving with a larger velocity . It exerted a larger force on the insect . And result the insect died.Rahul while putting an entirely new explaination said that both the motorcar and the insect experienced the same force and change in their momentum. Comment on these suggestion​

Answer 1

Answer:

Kiran's statement:

Change in momentum of the insect and the motorcar is equal by conservation of momentum. The velocity of insect changes significantly because its mass is very small compared to the motorcar. Similarly, the velocity of motorcar is very insignificant because its mass is very large compared to the insect. Hence, Kiran's statement is false.

Akhtar's statement:

By newton's third law of motion, action and reaction force are equal and opposite and they act on different bodies. Hence, the motorcar and insect both experience the same force. Since the mass of the insect is very small compared to the motorcar, it suffers a huge change of velocity as compared to the car. Due to this, insect dies. Hence, Akhtar's statement is false.

Rahul's Statement:

As discussed before, both the motorcar and the insect experience the same force and change in momentum. Hence, Rahul's statement is correct...

Hope This helps...

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Answer 2

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Rahul gave the correct reasoning and explanation that both the motorcar and the insect experienced the same force and a change in their momentum. As per the law of conservation of momentum.

When 2 bodies collide:

Initial momentum before collision

= Final momentum after collision

m1 u1+ m2 u2

= m1 v1+ m2 v2

The equal force is exerted on both the bodies but, because the mass of insect is very small it will suffer greater change in velocity.