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Consider a car moving along a straight horizontal road with a speed of 72 km/h. If the coefficient of static friction between road and tyres is 0.5, the shortest distance in which the car can be stopped is

  1. 30 m
  2. 40 m
  3. 72 m
  4. 20 m

Correct answer: 40 m

Solution

The shortest stopping distance is determined by the maximum deceleration due to static friction. The deceleration is given by \( a = \mu g \), where \( \mu = 0.5 \) and \( g = 9.8 \, \text{m/s}^2 \). Converting the speed to \( 20 \, \text{m/s} \), and using \( v^2 = u^2 - 2as \), we find \( s = 40 \, \text{m} \).

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