Respuesta :

Answer:

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

Lanuel

The number of time it takes this electric motor to perform a work is 300 seconds.

Given the following data:

  • Power = 500 Watts
  • Work done = [tex]1.50 \times 10^5\;Joules[/tex]

To determine the number of time it takes an electric motor to perform a work:

Mathematically, the power consumed in performing a work is given by:

[tex]Power = \frac{W}{t}[/tex]

Where:

  • W is the work done measured in Joules.
  • t is the time measured in seconds.

Making t the subject of formula, we have:

[tex]t = \frac{Work\;done}{Power}[/tex]

Substituting the given parameters into the formula, we have;

[tex]t=\frac{1.50 \times 10^5\;Joules}{500}[/tex]

Time, t = 300 seconds.

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