A car of mass $600$ kg is moving with a speed of $10 m s^{- 1}$ while a scooter of mass $80 k g$ is moving with a speed of $50 m s^{- 1}$ which vehicle will require more force to stop it in the (i) same interval of time (ii) same distance.

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Solution

(i) we know that force $= \frac{c h a n g e i n m o m e n t u m}{c h a n g e i n t i m e}$
Considering the time interval to be the same,
Force a momentum
The momentum of car $(600 \times 10 = 6000 k g m / s)$
Is more than the momentum of the scooter ( $80 \times 50 = 4000 k g m / s$ )
The car will require more force to stop

(ii) If we have to stop the vehicle at the same distance,
Then the vehicle travelling with greater velocity will require more force to stop it.
The velocity of the scooter ( $= 50 m s$ ) is greater than the velocity of the car ( $= 10 m / s$ ),
The scooter shall require more force to stop at the same distance.

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