Answer:
W = 627.2 J
Explanation:
Given:
[tex]\rho_{chain}[/tex] = 2kg/m
length of chain = 12 m
length pulled will be = 8 m
We know
Work done (W) = mgh
where
m = mass of the object
g= acceleration due to gravity
h = displacement
For a small length dy of the chain, the work done can be written as:
dW = (mass of the small length pulled)× g×dy
dW = 2kg/m ×dy×9.8×y
where, y is the distance from the ground level of the end of chain
integerating the above equation
W = [tex]\int\limits^8_0 {19.6y} \, dx[/tex]
W =[tex][19.6\frac{y^2}{2}]_{0}^{8}[/tex]
W = 627.2 J
