Question

A crane does 244,292 J of work in raising a 1,248 kg load straight up. How high was the load lifted in meters?

I can't find anything online about getting distance from only having work and mass, even just a formula would help greatly.

Answer 1

Work done is potential energy here

`\\ \rm\Rrightarrow PE=mgh`

`\\ \rm\Rrightarrow 244292=1248(10)h`

`\\ \rm\Rrightarrow 244292=12480h`

`\\ \rm\Rrightarrow h=19.6m`

Answer 2

We'll be using the formula here i.e.,

PE = mgh

• PE = 244292
• m = 1248
• g = 10

Now, putting the values,

244292 = 1248(10) h

244292 = 12480h

h = 12480/244292

h = 19.6 m