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Question

A car is moving in a circular horizontal track with a constant speed. The centripetal force acting on the car is 75 N . If the car’s speed is doubled, what is the new centripetal force required for the car to drive on the same circular track?

A
150 N
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B
37.5 N
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C
75 N
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D
300 N
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Solution

The correct option is D 300 N
Let, mass of a car be m
Radius of circular track be r
Initial speed of car be v1
Final speed of car be v2

As car's speed is doubled, v2=2v1,


We know that the centripetal force Fc is,
Fc=mv2r

For same mass and radius of curvature(as the particle is rotating in same circular path)

Fv2
F1F2=v21v22
F2=v22v21×F1=4F1=4×75=300 N

Hence option D is the correct answer.

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