An electric toy car with a mass of 4 kg is powered by a motor with a voltage of 7 V and a current supply of 1 A. How long will it take for the toy car to accelerate from rest to 3/2 m/s?

1 Answer
Jun 18, 2016

=9/14s

Explanation:

Given

  • m->"Mass of toy car "=4kg
  • V-> "Applied voltage "= 7V
  • I-> "Current supply "=1A
  • v-> "Velocity gained by toy car "= 3/2ms^-1
  • "Let t be the time taken to gain the velocity " 3/2ms^-1 " from rest"

Now assuming there is no loss of energy due to friction etc, we can apply conservation of energy to solve the problem.

Now Power P = IxxV

"Electrical work done"="Gain in KE"

=>Pxxt=1/2xxmxxv^2

=>IxxVxxt=1/2xxmxxv^2

=>1xx7xxt=1/2xx4xx(3/2)^2

=>t =9/14s