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Question

Question: A car turns a corner on a slippery road at a constant speed of \(10 \mathrm {~m} / \mathrm { s }\) ....

A car turns a corner on a slippery road at a constant speed of 10 m/s10 \mathrm {~m} / \mathrm { s } . If the coefficient of friction is 0.5, the minimum radius of the arc in meter in which the car turns is

A

20

B

10

C

5

D

4

Answer

20

Explanation

Solution

v=μgrr=v2μg=1000.5×10=20v = \sqrt { \mu g r } \Rightarrow r = \frac { v ^ { 2 } } { \mu g } = \frac { 100 } { 0.5 \times 10 } = 20