A car with a mass of #1.5 * 10^3# kg starts from rest and accelerates to a speed of 18.0 m/s in 12.0s. Assume that the force of resistance remains constant at 400 N during this time. What is the average power developed by the car's engine?

1 Answer
SaiGanesh Gotetti
Nov 29, 2016

The average power developed by the car's engine is 26100Watts.

Explanation:

A car of mass '#m#' is moving on horizontal road with constant acceleration '#a#'. If '#R#' is resistance offered to its motion, power of the engine when its velocity is '#V#' will be
#P=f_RxxV#
#P=(ma-R)xxV#
Substituting the values we get,
#P={[(1.5xx10^3kg)(1.5m//s^2)]-400N}xx18m//s#
#:.#Power '#P#'=26100 Watts

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