Answer:
Explanation:
Given
Length of cable [tex]L=300 ft[/tex]
Weight density [tex]\lambda =6 pound/ft[/tex]
Winch height [tex]h=300 ft[/tex]
additional load [tex]W=200\ pound[/tex]
Work done
[tex]W=\int_{0}^{300}\lambda ydy+W\times distance\ moved[/tex]
[tex]W=\int_{0}^{300}6\cdot ydy+200\times 300[/tex]
[tex]W=3\left [ y^2\right ]^{300}_{0}+60,000[/tex]
[tex]W=3,30,000 lb-ft[/tex]
