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Question: Find the maximum velocity for overturn for a car moved on a circular track of radius \(100m\). The c...

Find the maximum velocity for overturn for a car moved on a circular track of radius 100m100m. The coefficient of friction between the road and tyre is 0.20.2

A

0.146mum/s0.14\mspace{6mu} m/s

B

1406mum/s140\mspace{6mu} m/s

C

1.46mukm/s1.4\mspace{6mu} km/s

D

146mum/s14\mspace{6mu} m/s

Answer

146mum/s14\mspace{6mu} m/s

Explanation

Solution

vμrgmax=0.2×100×10=102=14m/s{v\sqrt{\mu rg}}_{\max} = \sqrt{0.2 \times 100 \times 10} = 10\sqrt{2} = 14m/s