Circular Motion: JEE — Centripetal Calculation MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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JEE — Centripetal CalculationMediumQuestion 30656

Question

A car (mass 800 kg) moves in a horizontal circle (r = 40 m) at 20 m/s on a flat road (μ = 0.6, g = 10). Is the motion possible?

A
No, friction insufficient
B
Yes, friction is sufficient
Correct
C
Yes, but car would slide outward
D
Cannot determine without angle

Correct answer

Yes, friction is sufficient

Explanation

Centripetal force needed = mv²/r = 800×400/40 = 8000 N. Max friction = μmg = 0.6×800×10 = 4800 N. 8000 > 4800 → friction insufficient → car CANNOT make the turn at that speed. Answer: No.

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