A car of mass $$\(1600 \mathrm{~kg}\)$$ is pulling a caravan of mass $$\(800 \mathrm{~kg}\)$$. The car and the caravan are connected by a light rigid tow-bar. The resistances to the motion of the car and caravan are $$\(400 \mathrm{~N}\)$$ and $$\(250 \mathrm{~N}\)$$ respectively. The car and caravan are travelling along a straight horizontal road. Given that the car and caravan have a constant speed of $$\(25 \mathrm{~m} \mathrm{~s}^{-1}\)$$, find the power of the car's engine. ................................................................................................................................................ ................................................................................................................................................ ................................................................................................................................................ ................................................................................................................................................ ................................................................................................................................................ ................................................................................................................................................

Mathematics
IGCSE&ALevel
CAIE
Exam No:9709_w20_qp_43 Year:2020 Question No:6(a)(i)

Answer:

\(P=650 \times 25\)
\(P=16250 \mathrm{~W}=16.25 \mathrm{~kW}\)

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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