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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 stuck on the windscreen. Akhtar and Kiran started pondering over the situation. Kiran suggested that the insect suffered a greater change in momentum as compared to the change in momentum of the motorcar (because the change in the velocity of the insect was much more than that of the motorcar). Akhtar said that since the motorcar was moving with a larger velocity, it exerted a larger force on the insect. And as a result the insect died. Rahul while putting an entirely new explanation said that both the motorcar and the insect experienced the same force and a change in their momentum.
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Answers
Thinking question!
~ Firstly there is a need to know what the question is saying to solve this solution!
This question says that three persons were riding in a motorcar and that motorcar was moving with a high velocity afterwards an insect was on the expressway and hit the windshield and got stuck on the windscreen of their car. After this condition Akhtar and Kiran started thinking over this situation.
→ Then Kiran suggested that the insect suffered a greater change in momentum as compared to the change in momentum of the motorcar (because the change in the velocity of the insect was much more than that of the motorcar).
→ Akhtar said that since the motorcar was moving with a larger velocity, it exerted a larger force on the insect. And as a result the insect died.
→ Rahul while putting an entirely new explanation said that both the motorcar and the insect experienced the same force and a change in their momentum.
- We are asked to comment on their suggestions as well.
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All the suggestions are correct here! Let us see how they are correct!
According to Kiran's suggestion:
Kiran said that the insect suffered a greater change in momentum as compared to the change in momentum of the motorcar. That's why it died.
Yes, it is true because car is travelling with a velocity and insect too but when the insect hit the windshield and got stuck on the windscreen of their car then it's velocity becames zero as it goes to rest. Therefore, it's momentum also becames zero as momentum is the product of mass and velocity and if any of then is zero then momentum also becames zero. And the car didn't experience any change in momentum that time. In short, yes, the insect suffered a greater change in momentum as compared to the car. That's why it died!
According to Akhtar's suggestion:
Akhtar said that since the motorcar was moving with a larger velocity, it exerted a larger force on the insect. And as a result the insect died.
Yes, it is also true because ofcourse the motorcar was moving with a larger velocity as compared to the insect (it is logical). If the velocity of the motorcar is more here then ofcourse it exert more force on the insect as compared to the insect. Also the mass of the car is more than the insect that's why it exert more force on it too as force is the product of mass and change in velocity. That's why the insect died!
According to Rahul's suggestion:
Both the motorcar and the insect experienced the same force and a change in their momentum.
Yes, it is true too because of Newton's third law of motion as it says that every action is equal to every reaction but in opposite direction.
Explanation:
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 stuck on the windscreen. Akhtar and Kiran started pondering over the situation. Kiran suggested that the insect suffered a greater change in momentum as compared to the change in momentum of the motorcar (because the change in the velocity of the insect was much more than that of the motorcar). Akhtar said that since the motorcar was moving with a larger velocity, it exerted a larger force on the insect. And as a result the insect died. Rahul while putting an entirely new explanation said that both the motorcar and the insect experienced the same force and a change in their momentum.
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 stuck on the windscreen. Akhtar and Kiran started pondering over the situation. Kiran suggested that the insect suffered a greater change in momentum as compared to the change in momentum of the motorcar(because the change in the velocity of the insect was much more than that of the motorcar). Akhtar said that since the motorcar was moving with a larger velocity, it exerted a larger force on the insect. And as a result the insect died. Rahul while putting an entirely new explanation said that both the motorcar and the insect experienced the same force and a change in their momentum.
The suggestion made by Kiran that the insect suffered a greater change in momentum as compared to the change in momentum of the motor car is wrong.
The suggestion made by Kiran that the insect suffered a greater change in momentum as compared to the change in momentum of the motor car is wrong.The suggestion made by Akhtar that the motor car exerted a larger force on the insect because of large velocity of motor car is also wrong. The explanation put forward by Rahul is correct. On collision of insect with motor car, both experience the same force as action and reaction are always equal and opposite. Further, changes in their momenta are also the same. Only the signs of changes in moment are opposite, i.e., changes in momenta of the two occur in opposite directions, though magnitude of change in momentum of each is the same