High School

The potential energy of a girder, after being lifted to the top of a building, is [tex]5.17 \times 10^5[/tex] ft-lb. If its mass is 173 slugs, how high is the girder?

Answer :

Final answer:

Using the formula for potential energy, the height of the girder is approximately 97.3 ft.

Explanation:

To find the height of the girder, we can use the formula:

Potential Energy = mass × acceleration due to gravity × height

Rearranging the formula gives:

Height = Potential Energy / (mass × acceleration due to gravity)

Substituting the given values:

Height = 5.17 x 105 ft.lb / (173 slugs × 32.2 ft/s2)

Calculating the height gives:

Height ≈ 97.3 ft

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