Two similar vehicles are moving with the same velocity on roads,such that one of them is loaded and the other is empty. Which of the two vehicles will require a larger force to stop it? Give reasons.
(A) The force required to stop a moving object is directly proportional to the rate of change of momentum $(F = \frac{dp}{dt} = ma)$.
Since both vehicles are moving with the same velocity $(v)$,the momentum $(p = mv)$ depends on the mass $(m)$ of the vehicle.
The loaded vehicle has a greater mass compared to the empty vehicle.
Therefore,the loaded vehicle possesses more momentum.
According to Newton's second law of motion,a larger force is required to change the momentum of an object with greater mass in the same amount of time.
Thus,the loaded vehicle will require a larger force to stop.
Since both vehicles are moving with the same velocity $(v)$,the momentum $(p = mv)$ depends on the mass $(m)$ of the vehicle.
The loaded vehicle has a greater mass compared to the empty vehicle.
Therefore,the loaded vehicle possesses more momentum.
According to Newton's second law of motion,a larger force is required to change the momentum of an object with greater mass in the same amount of time.
Thus,the loaded vehicle will require a larger force to stop.
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