Respuesta :

Answer: 20580 Joules of work is done by the firefighter.

Explanation:

Work done is defined as the force times distance travelled.

work=[tex]mass\times acceleration\times height[/tex]

Given:

mass= 75 kg

acceleration due to gravity = [tex]9.80m/s^2[/tex]

h= height = 28 m

Putting in the values we get,

work=[tex]75kg\times 9.80m/s^2\times 28m=20580kgm^2s^{-2}=20580J[/tex]

[tex]1kgm^2s^{-2}=1Joule(J)[/tex]

Thus 20580 Joules of work is done by the firefighter.

Lanuel

The amount of work done by the firefighter is equal to 20,580‬ Joules.

Given the following data:

  • Mass of firefighter = 75 kilograms.
  • Height of stairs = 28 meters.

Scientific data:

  • Acceleration due to gravity = 9.8 [tex]m/s^2[/tex]

To determine how much work is being done by the firefighter:

The work done by a body is simply the product of the perpendicular force acting on the body and the distance it covers.

Mathematically, work done is given by the formula:

[tex]Work\;done = Force \times distance[/tex]     ......equation 1.

But, [tex]Force = mg[/tex]   ......equation 2.

Substituting eqn. 2 into eqn. 1, we have:

[tex]Work\;done = mgh\\\\Work\;done =75 \times 9.8 \times 28[/tex]

Work done = 20,580‬ Joules

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