A car of mass $$\(1250 \mathrm{~kg}\)$$ is moving on a straight road. On a horizontal section of the road, the car has a constant speed of $$\(32 \mathrm{~m} \mathrm{~s}^{-1}\)$$ and there is a constant force of $$\(750 \mathrm{~N}\)$$ resisting the motion. Calculate, in $$\(\mathrm{kW}\)$$, the power developed by the engine of the car. ................................................................................................................................................ ................................................................................................................................................ ................................................................................................................................................ ................................................................................................................................................ ................................................................................................................................................ ................................................................................................................................................ ................................................................................................................................................ ................................................................................................................................................ ................................................................................................................................................ ................................................................................................................................................

Mathematics
IGCSE&ALevel
CAIE
Exam No:9709_s20_qp_42 Year:2020 Question No:5(a)(i)

Answer:

$
D F=750
$

Power \(=\operatorname{their}(750) \times 32\)
$
=24 \mathrm{~kW}
$

Knowledge points:

4.5.4 use the definition of power as the rate at which a force does work, and use the relationship between power, force and velocity for a force acting in the direction of motion Including calculation of (average) power;P = Fv

Solution:

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