. A 1770-kg car is traveling with a speed of 19.9 m/s. What is the magnitude of the horizontal net force that is required to bring the car to a halt in a distance of 42.1 m?
Given, Mass of the Car = m = 1770 kg
Speed of the car = u = 19.9 m/s
Distance to be travelled = s= 42.1 m
Final velocity of the car = V = 0 m/s
Let, a = deceleration of the car We know that,
V^2-u^2 = 2*a*s ==> 0-19.9^2 = 2*a*42.1
a = -4.70 m/s2 (Negative Sign Indicates Deceleration of the car)
Therefore, Force required = F = m*a
F = - 1770 * 4.70
F = - 8319 N (Negative sign indicates that force is to be applied opposite to the intial velocity direction of the car)
distance of 42.1 m is 8319 N
Hence the answer is 8319 N
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