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At a construction site, a crane lifts a steel beam with a mass of 330 kg.

a. What is the gravitational potential energy added to the steel beam when the beam reaches a height of 18.4 m?

Respuesta :

The increase in potential energy is [tex]5.95\cdot 10^4 J[/tex]

Explanation:

The gravitational potential energy gained by an object lifted above the ground is given by:

[tex]\Delta PE = mg \Delta h[/tex]

where

m is the mass of the object

g is the acceleration of gravity

[tex]\Delta h[/tex] is the change in height of the object

For the beam in this problem, we have

m = 330 kg

[tex]g=9.8 m/s^2[/tex]

[tex]\Delta h = 18.4 m[/tex]

Substituting, we find its gain in potential energy:

[tex]\Delta PE=(330)(9.8)(18.4)=5.95\cdot 10^4 J[/tex]

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