Answer:
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