Consider a car moving on a straight horizontal road

Asked by admin @ 17/08/2021 in Physics viewed by 306 People

consider a car moving along a straight horizontal road with a speed of 72km/h If the coefficient of static friction between tyres and road is0.5 the shortest distance in which the car can be stopped

Answered by admin @ 17/08/2021

Given the coefficient of static friction, we can get the acceleration.

Acceleration = ∞g

Where ∞ = coefficient of friction

g = acceleration due to gravity = 10

acceleration = 10 × 0.5 = 5

Given that the car comes to rest, the acceleration is negative.

a = - 5m/s²

Lets convert the speed to meters per second as follows :

72 × 5/18 = 20m/s

u = initial velocity = 20

v = 0 m/s

We can use the following kinematics equation :

v² = u² - 2as

0 = 20² - 2 × 5 × s

0 = 400 - 10s

10s = 400

s = 400/10

s = 40 m

The distance equals 40 m.

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