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← JEE Main 2022 · 25 Jun · Shift 2
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JEE Main 2022 · 25 Jun · Shift 2, Physics question 52

A curved in a level road has a radius 75 m. The maximum speed of a car turning this curved road can be 30 m/s without skidding. If radius of curved road is changed to 48 m and the coefficient of friction between the tyres and the road remains same, then maximum allowed speed would be ______ m/s.

Answer and worked solution

Official answer: 24

Maximum speed v=μrg∝rv=\sqrt{\mu rg}\propto\sqrt r.

New speed. 304875=30×0.8=2430\sqrt{\dfrac{48}{75}}=30\times0.8=24 m/s.

Answer: 24