Cars X, Y, and Z begin accelerating from rest at the same time. Car X is more massive than car Y, while car Y is more massive than car Z. The net accelerating force exerted on each car is identical. After 10 seconds, which car has the most amount of momentum?*1 pointCar XCars X, Y, and ZCar YCar Z
Question
Cars X, Y, and Z begin accelerating from rest at the same time. Car X is more massive than car Y, while car Y is more massive than car Z. The net accelerating force exerted on each car is identical. After 10 seconds, which car has the most amount of momentum?*1 pointCar XCars X, Y, and ZCar YCar Z
Solution
The answer is Car Z.
Here's why:
Momentum is the product of mass and velocity (p=mv).
Given that all three cars start from rest and are subjected to the same net accelerating force, according to Newton's second law of motion (F=ma), the car with the least mass will have the greatest acceleration.
Since acceleration is the rate of change of velocity, the car with the greatest acceleration (Car Z, because it has the least mass) will have the greatest velocity after a certain period of time (10 seconds in this case).
Therefore, even though Car Z has the least mass, it will have the greatest velocity after 10 seconds, and thus the greatest momentum.
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