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Question

What is the centripetal force acting on a car of weight 15000 N moving on a frictionless road banked at an angle of 30?

A
1500 N
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B
150003 N
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C
75000 N
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D
50003 N
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Solution

The correct option is D 50003 N
From the FBD of a car moving on a banked circular track:


Centripetal force is provided by the horizontal component of normal reaction.
i.e Nsinθ=mv2r
and Ncosθ=mg

Since the weight of car is given to be 15000 N and θ=30
Ncosθ= 15000
N=1500032

Therefore, centripetal force given by:
Fc=Nsinθ=1500032×12
=50003 N

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