Calculate the amount of work needed to stop a car of 500 kg, moving at a speed of 36 km/h.
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Explanation:
Mass of the car m = 500 kg
Initial speed u = 36 km/h = 10 m/s
Final speed v = 0
s = 150 m
We have v2 - u2 = 2as
a = (v² - u²)/(2s)
= (0 - 10²)/300 = -100/300 = - 0.33 m/s²
Retardation = 0.33 m/s²
Force applied by the brakes = Retarding force F = mass x retardation = 500 x 0.33 = 165 N.
Work done before stopping W = Force x distance moved = 165x 150 = 24750 Nm = 24750 J
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