A cable with a linear density of 2 kgm is used to lift an 80

A cable with a linear density of 2 kg/m is used to lift an 800 kg load of coal up a mineshaft 200 m deep. Find the work done in lifting the coal and cable.

work done to lift the coal=800*9.8*200 work done to lift the cable =integral Lx dx=Lx^2/2=2*(200)^2 /2 ==>total work=1,568,000+40,000=1,608,000joules