A person is lifted 24 meters by the elevator in a building. If the
person has a mass of 74 kg, what is the gravitational potential
energy gained by the person? Estimate g to 9.81 and keep 5
significant figures.

Respuesta :

Answer: 17,423 J

Explanation:

Potential Energy = mass x gravity x height

PE = 74kg x 9.81m/s^2 x 24 m

PE = 17,423 J

The required value of gravitational potential energy gained by the person is 17422.56 J.

Given data:

The lifting height is, h = 24 m.

The mass of person is, m = 74 kg.

The energy possessed by the person by virtue of its position is known as gravitational potential energy of the person. The expression for the gravitational potential energy of person is given as,

U  = mgh

Here,

g is the gravitational acceleration.

Solving as,

[tex]U = 74 \times 9.81 \times 24\\\\U =17422.56\;\rm J[/tex]

Thus, we can conclude that the required value of gravitational potential energy of person is 17422.56 J.

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