PHYSICS
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A car is traveling at 72.0 kilometer per hour (km/h) on a flat highway. If the coefficient of kinetic friction between the road and the tires on a rainy day is 0.135, what is the minimum distance needed for the car to stop?

Solution

Force acting on car f = m a

Frictional force f = μ m g

Equating the above two

m a = μ m g

a = μ g

a = 0.135 x 9.8

a = 1.32 m/s2

Given velocity 72 km/h = 72 x (5/18) = 20 m/s

a is negative, because it retards the motion

Using the equation of motion

v2– u2 = 2as

202 = 2 (1.32) s

400 = 2.64 s

s = 400 / 2.64

s = 151.5 m