a body of mass 15kg has its speed reduced from 30km/h to 18km/h in 4.0s calculate the power required this effect to change?
Answers
The power required is 83.33 Watt.
Explanation:
Change in kinetic energy of body = 1/2 m.v 1^2 - 1/2 m.v2^ 2
where mass "m" = 15 kg
V1 = Initial velocity = 30 km/h = 30 / 3.6 m/s = 8.3333 m/s
V2 = final velocity = 18 km/h = 18 / 3.6 m/s = 5 m/s.
Change in kinetic energy = 1/2 m(v 1^2 - v2^ 2 ) = 1/2 (15)(8.3333^2 - 5^2 )
= 333.329 J
Braking power = Change in energy / time taken
= 333.329 / 4.0 s = 83.33 W
Hence the power required is 83.33 Watt.
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