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Bart runs up a 2.91-meter high flight of stairs at a constant speed in 2.15 seconds. If Bart's mass is 65.9 kg, determine the work which he did and his power rating answers.

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asuwafohjames

Answer:

Work = 1879.34 J

Power = 874.11 Watt.

Explanation:

Work; This can be defined as the distance moved a force along a specific direction.

The mathematical representation of work done is

W = mgh ........................... Equation 1

Where W = work done, m = mass of Bart, h = height, g = acceleration due to gravity.

Power: This can be defined as the rate of doing work.

It is represented mathematically as

P = W/t................................ Equation 2

where p = power, W = work done, t = time.

given: m = 65.9 kg, h = 2.91 m, t = 2.15 s

Constant: g = 9.8 m/s²

Substituting these values into equation 1

Work,

W = mgh

W = 65.9×2.91×9.8

W = 1879.34 J

Power

P = W/t

Also substituting into equation 2

P = 1879.34/2.15

P = 874.11 Watt.

ajeigbeibraheem

The amount of work done by Bart is 1879.34 Joules and his power rating is 874.11 watts

The work done as a result of the gravitational force can be determined by using the formula:

  • W = mass (m) × gravity(g) × height (h)
  • W = mgh
  • W = 65.9 kg × 9.8 m/s² × 2.91 m
  • W = 1879.34 kg.m² /s²
  • W = 1879.34 Joules

Power is the ability to perform work for a given period of time. It can be expressed mathematically as:

  • [tex]\mathbf{Power = \dfrac{work}{time}}[/tex]
  • [tex]\mathbf{Power = \dfrac{1879.34}{2.15}}[/tex]
  • Power = 874.11 watts

Therefore, we can conclude that the amount of work done by Bart is 1879.34 Joules and his power rating is 874.11 watts.

Learn more about work here:

https://brainly.com/question/13662169?referrer=searchResults