A 1000 kg car collides with a 1 mg mosquito. By what factor will the acceleration of the mosquito be greater than the acceleration of the car when they collide?

The acceleration of the mosquito is 1 million (10⁶) times that of the car

Explanation:

From Newton’s Third Law, every action has an equal and opposite reaction. Therefore, when the car and the mosquito collide, the force the car exerts on the mosquito equals the force the mosquito exerts on the car.

F₁ = F₂

Also, from Newton’s Second Law, F₁ = ma₁

Force of the car, F₁ = 1000 * a₁

And force exerted by the mosquito, F₂ = 0.001 * a₂

Equating both sides

1000a₁ = 0.001a₂

Taking the ratio of the acceleration of the mosquito and that of the car, a₂/a₁:

a₂/a₁ = 1000/0.001

a₂/a₁ = 1000000

Therefore, the acceleration of the mosquito is 1000000 (10⁶) times that of the car

unbalanced force

explanation:

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