Question

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?

Answer 1

3.67 ft

Step-by-step explanation:

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

`220\text{slugs }*\frac{32.174\text{ lb}}{1\text{ slug}}=7078.20\text{ lb}`

Then, the potential energy can be calculated as:

`PE=mgh`

Therefore, the height is equal to:

`h=(PE)/(mg)`

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

`h=\frac{26000\text{ ft lb}}{7078.20\text{ lb}}=3.67\text{ ft}`

So, the answer is 3.67 ft