1. Tardigrade
  2. Question
  3. Physics
  4. A one-ton car moves with a constant velocity of 15 ms -1 on a rough horizontal road. The total resistance to the motion of the car is 12 % of the weight of the car. The power required to keep the car moving with the same constant velocity of 15 ms -1 is [Take g=10 ms -2 ].

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Q. A one-ton car moves with a constant velocity of $15\, ms ^{-1}$ on a rough horizontal road. The total resistance to the motion of the car is $12 \%$ of the weight of the car. The power required to keep the car moving with the same constant velocity of $15\, ms ^{-1}$ is [Take $g=10 \,ms ^{-2}$ ].

Work, Energy and Power

Solution:

Resistance force $=\frac{12}{100} \times(1000 kg )\left(10 \frac{ m }{ s ^{2}}\right)$
$=1200 N$
$P_{\text {required }}=(F)(v)=(1200 N )\left(15 \frac{ m }{ s }\right)=18000 W =18 kW$