if On a road, a scooterist applies brakes to slow down from a speed of 36 km/h to 18 km/h. Find the work done by the brakes, assuming the mass of the empty scooter to be 86 kg and that of the person equal to 64 kg.
Work done by brakes = Change in kinetic energy of the scooter
,W = 1/2mv1 2 - 1/2mv2 2
or W = (1/2).m.[v1 2 - v2 2]
here,
m = 86kg + 64kg = 150kg
v1 = 36km/hr = 10m/s
v2 = 18km/hr = 5m/s
so,
W = (1/2)x150x[102 - 52]
thus, we get
W = 5625 J