contestada

The potential energy of a girder, after being lifted to the top of a building, is 26000.00 ft lb. If its mass is 220 slugs how high is the girder in ft?

Respuesta :

Answer:

3.67 ft

Explanation:

First, we need to convert 220 slugs to lb as follows

[tex]220\text{slugs }\times\frac{32.174\text{ lb}}{1\text{ slug}}=7078.20\text{ lb}[/tex]

Then, the potential energy can be calculated as:

[tex]PE=mgh[/tex]

Therefore, the height is equal to:

[tex]h=\frac{PE}{mg}[/tex]

Where mg = 7078.20 lb and PE = 26000.00 ft lb, therefore, the height h is equal to

[tex]h=\frac{26000\text{ ft lb}}{7078.20\text{ lb}}=3.67\text{ ft}[/tex]

So, the answer is 3.67 ft