Question

A 55 meter rope is lying on the floor and has has a weight of 4040 N in total. How much work is required to lift up one end of the rope to a height of 33 meters

Answer 1

Step-by-step explanation:

Given

Length of rope
`L=55\ m`

Weight of rope
`W=4040\ N`

weight density
`\lambda =(4040)/(55)=73.45\ N/m`

Work done to lift rope 33 m

`W=\int_(0)^(33)\lambda hdh`

`W=\int_(0)^(33)73.45hdh`

`W=73.45\left [ \left ( (h^2)/(2)\right )\right ]^(33)_0`

`W=39.993\ kJ`