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On a level road, a scooterist applies brakes to slow down from a speed of 10 m/s to 5 m/s. If the mass of the scooterist and the scooter be 150kg, calculate the work done by the brakes.

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On a level road, a scooterist applies brakes to slow down from a speed of 10 m/s to 5 m/s. If the mass of the scooterist and the scooter be 150kg, calculate the work done by the brakes.

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Mass of scooter + scooterist = 150 kg

Initial velocity, u = 10 m/s

Final velocity, v = 5 m/s

Retardation = a

Distance travelled = s

Using third equation of motion,

v2 – u2 = 2as

as = \(\frac{-75}{2}\)

Work done, W = Fs

W = mas

W = -5625 J

Negative sign is used to show that force applied by the brakes is acting opposite direction of motion.

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