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

The time for the electric motor to do 1.5 * 10^5 J of work is 300 seconds.

Explanation:

Power = Work done / Time

Power = 500W

Work = 1.50 * 10^5J

Time = ?

Time = Work done / Power

Time = 1.50 * 10^5 / 500

Time = 0.003 * 10^5 seconds

Time = 300seconds

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