Question

The maximum velocity with which a car of mass 20kg must traverse a flat a curve of radius 200 m to avoid skidding is

Answer 1

Answer:

Maximum safe speed of the car is 31.6 m/s

Explanation:

As we know that car is moving on flat road in circular path

So here we can say that the required centripetal force for the motion of car is due to friction force

So we can say

$\mu_s mg = \frac{mv^2}{R}$

now we have

$v^2 = \mu_s R g$

so we have

$v = \sqrt{\mu_s Rg}$

$\mu_s = 0.5$

$R = 200 m$

now we have

$v = \sqrt{(0.5)(200)(10)}$

$v = 31.6 m/s$

#Learn

Topic : Circular motion

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