contestada

If a runner exerts 350 J of work to make 175 W of power, then how long did it
take the runner to do the work?
A. 2 sec
B. .5 sec
C. 4 sec
D. .25sec

Respuesta :

CintiaSalazar

Answer:

If a runner exerts 350 J of work to generate 175 W of power, it took the runner 2 seconds to do the work.

Explanation:

Power is defined as the speed with which a job is done. In other words, power is a given amount of work done in a given unit of time. That is, it is the amount of work per unit of time that some object or system produces.

Its expression is:

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

where:

  • P: Power developed by the force doing the work. Its unit of measure in the International System is the Watt (W)
  • W: Work. Its unit of measure in the International System is the Joule (J)
  • t: Time during which the work is carried out. Its unit of measurement in the International System is the second (s).

In this case:

  • P= 175 W
  • W= 350 J
  • t=?

Replacing:

[tex]175 W=\frac{350 J}{t}[/tex]

and solving you get:

[tex]t=\frac{350 J}{175 W}[/tex]

t= 2 s

If a runner exerts 350 J of work to generate 175 W of power, it took the runner 2 seconds to do the work.

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