On a recent adventure trip, Anita Break went rock-climbing. Anita was able to steadily lift her 800- kg body 20.0 meters in 100 seconds. Determine Anita 's power rating during this portion of the climb.

Respuesta :

Answer:

Anita 's power rating during this portion of the climb is 1568 Watts.

Explanation:

Given that,

Mass of the body, m = 800 kg

Height, h = 20 m

Time, t = 100 s

We need to find the Anita 's power rating during this portion of the climb. Power rating of an object is given by the work done per unit time. It is given by :

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

[tex]P=\dfrac{mgh}{t}[/tex]

[tex]P=\dfrac{800\times 9.8\times 20}{100}[/tex]

P = 1568 Watts

So, Anita 's power rating during this portion of the climb is 1568 Watts. Hence, this is the required solution.

The power rating of Anita during this portion of climb is 1,568 J.

The given parameters;

  • mass of the body, m = 800 kg
  • distance traveled, h = 20 m
  • time of motion, t = 100 s

The power rating of Anita during this portion of climb is calculated as follows;

[tex]P = \frac{E}{t} \\\\P = \frac{mgh}{t} \\\\P = \frac{800 \times 9.8 \times 20}{100} \\\\P = 1,568 \ J[/tex]

Thus, the power rating of Anita during this portion of climb is 1,568 J.

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