A car of mass $$\(1800 \mathrm{~kg}\)$$ is travelling along a straight horizontal road. The power of the car's engine is constant. There is a constant resistance to motion of $$\(650 \mathrm{~N}\)$$. Find the steady speed which the car can maintain with the engine working at this power. ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................

Mathematics
IGCSE&ALevel
CAIE
Exam No:9709_w20_qp_42 Year:2020 Question No:2(b)

Answer:

\(\frac{31000}{v}-650=0\)
\(v=47.7 \mathrm{~ms}^{-1}\)

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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