Work Energy And Power Question 196

Question: A car of mass 1000 kg accelerates uniformly from rest to a velocity of 54 km/hour in 5s. The average power of the engine during this period in watts is (neglect friction) [Kerala PET 2002]

Options:

A) 2000 W

B) 22500 W

C) 5000 W

D) 2250 W

Show Answer

Answer:

Correct Answer: B

Solution:

Power $ =\frac{\text{Work done}}{time}=\frac{\text{Increase in K}\text{.E}\text{.}}{time} $

$ P=\frac{\frac{1}{2}mv^{2}}{t}=\frac{\frac{1}{2}\times 10^{3}\times {{(15)}^{2}}}{5}=22500W $



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