A smooth chain of length 2 ~m is kept on a table such that its length of 60 ~cm hangs frecly from the edge of the table. The total mass of the chain is 4 ~kg . The work done in pulling the entire chain on the table is (Take, g=10 ~m / s ^2 )

Step-by-step solution

Mass per unit length of chain, M L = 4 2 =2 ~kg / m Work done in pulling the chain of small length d x . aligned d W & = mass of length d x g x & = M L d x g x & =2 d x 10 x=20 x d x aligned Work done, W= ₀^ 0.6 d W d x= ₀^ 0.6 20 x d x = [20 x^2 2 ]₀^ 0.6 = [10 x^2 ]₀^ 0.6 =10 (0.6)^2=36 ~J