A car is travelling at 20 m/s. It makes an emergency stop to avoid hitting a badger in the road. If the car has a mass of 1000 kg and it travels 48 m before it comes to a stop, how much braking force did the driver apply? Use the equations below to help you and give your answer to the nearest hundred.
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Initial velocity,u = 20m/s
Final velocity,v = 0
Mass of car, m = 1000 kg
Distance ,s = 48m
So, force = ?
By using second equation of motion,
v^2 - u^2 = 2as
(0)^2 - (20)^2 = 2a× 48
0-400 = 96 × a
-400 = 96× a
a = -400/96
a= -25/6
Using Newton's second law of motion,
F = ma = 1000× -25/6
F= -25000/6
F = - 4166.66 or - 4166.6
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