Laws Of Motion Question 144

Question: A circular road of radius R is banked for a speed v = 40 km/hr. A car of mass m attempts to go on the circular road, the friction co-efficient between the tyre and road is negligible:

Options:

A)the car cannot make a turn without skidding

B)if the car runs at a speed less than 40 km/hr, it will slip up the slope

C)if the car runs at the correct speed of 40 km/hr, the force by the road on the car is equal to mv2/r

D)if the car runs at the correct speed of 40 km/hr, the force by the road on the car is greater than mg as well as greater than mv2/r

Show Answer

Answer:

Correct Answer: D

Solution:

[d] Car can make a turn without skidding at 40 km/hr. The car will slip down the slope if it runs at a speed less than 40 km/hr. Nsinθ=mv2rN=1sinθ(mv2r) and ncosθ=mgN=mgcosθ

sinθ and cosθ<1 So N>mg and N>mv2r



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