Answer:36 J
Explanation:
Given
Weight of Rope [tex]W=40\ N[/tex]
Length of rope [tex]L=5\ m[/tex]
Height to be raised [tex]h=3\ m[/tex]
Weight per unit length [tex]w=\frac{40}{5}=8\ N/m[/tex]
Work done to raise the rope is given by
[tex]W=\int_{0}^{3}wxdx[/tex]
[tex]W=\int_{0}^{3}8xdx[/tex]
[tex]W=\left [ 4x^2\right ]^3_0[/tex]
[tex]W=4\times 9=36\ J[/tex]
The work that is required to lift up one end of the rope to a height of 3 meters is 36 J.
Given:
Weight of Rope, W= 40N
Length of rope ,L=5 m
Height to be raised ,h= 3m
Weight per unit length
[tex]w=\frac{40}{5} =8N/m[/tex]
Work is done whenever a force moves something over a distance.
Work done to raise the rope is given by:
[tex]W=\int\limits^0_3w {x} \, dx \\\\W=\int\limits^0_38 {x} \, dx \\\\W=4*9\\\\W=36J[/tex]
Thus, the work that is required to lift up one end of the rope to a height of 3 meters is 36 J.
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