Ncert Exercises & Solutions

Q. 25 Why are mountain roads generally made winding upwards rather than going straight up?

Hint: Frictional force depends on the slope.

Step 1: Interpret the variation in friction

While going up a mountain. the force of friction acting on a vehicle of mass m is $f = μR = μmg \cos θ$ . where $θ$ is the angle of slope of the road with the horizontal? To avoid the skidding force of friction (f) should be large and therefore. cos $θ$ should be large and hence, $θ$ should be small.

That's why mountain roads are generally made winding upwards rather than going straight up to avoid skidding.

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