A car of mass 120 kg moves over a horizontal road with a constant velocity of 40 km h -1. Then the force exerted by the engine if the coefficient of friction between the car and the road is 0.2 will be (g = 10 ms -2)
[Hint : When a body moves with a constant velocity, the applied force must be equal to the force of limiting friction]
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Answer:
Explanation:
Let v be the maximum speed of the car which is moving around a curve of radius 40 m and it is moving with this velocity without slipping. So, frictional force = centripetal force
μmg=
R
mv
2
v
2
=μgR
v
2
=0.5×40×9.8
v
2
=196m/s
v=14m/s
μ is coefficient of friction between car and tyre.
R is the radius of curve
v is the velocity of a car
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