How long would it take a 500 W electric motor to do 1.50 x 10^5 J of work?

t = 300 s or 5 min or 0.0833 hours

Explanation:

Power = Energy/time or work/time.

P = E/t Equation 1

Make t the subject of the equation

t = E/P Equation 2

Where t = time, E = Work done by the electric motor, P = electric power of the motor.

Given: E = 1.5×10⁵ J, P = 500 W

Substitute into equation 2

t =  1.5×10⁵/500

t = 300 seconds

or

t = 300/60 = 5 min.

or

t = 0.0833 hours

Hence the time it would take = 300 s or 5 min or 0.0833 hours

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