A car of mass 1000 kg accelerates uniformly from rest to a velocity of 54 km/hr in 5 sec. Calculate
(a) its acceleration
(b) its gain in KE
(c) average power of the engine during this period
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a) a = (v2-v1)/t
Convert 54km/h into m/s which is 15m/s
a = (15-0)/5
a = 3m/s^2
The acceleration is 3 m/s^2.
b) KE = 1/2mv^2
KE = 1/2 (1000) (15)^2
KE = 112500 J
The car gains 112,500 J. It started from rest so we know that the initial KE was 0.
c) P = work/time
P = 112500/5
P = 22500 W
The average power of the engine is 22,500 watts (W).
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all the best for the exams
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