Work problem on winding up a cable

mardi 30 juillet 2013

Find the work done in winding up a 300ft cable that weighs 2.00 lb /ft

W=Fd

W=$$\int F dx$$

My attempt

w=F*D

so W= (300ft)(2.00lb/ft)

W=600ft.lb

and

$$\int_0^{300}\!\ 2xdx$$

W=90,000 ft.lb

I'm taking Calc 2 and this is applied Physics problems.

Which of these answers is correct?

And Why?

Thanks in advance

Cheers!