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5.Work, Energy, Power and Collision
normal
A uniform chain of length $2\, m$ is kept on a table such that a length of $60\, cm$ hangs freely from the edge of the table. The total mass of the chain is $4\, kg$. What is the work done in pulling the entire chain on the table ? ................ $\mathrm{J}$
A
$7.2$
B
$3.6$
C
$120$
D
$1200$
Solution
Fraction of length of the chain hanging fiorn the table
$=\frac{1}{n}=\frac{60 \mathrm{cm}}{200}=\frac{3}{10}$
$\frac{1}{n}=\frac{3}{10}$
$\mathrm{n}=\frac{10}{3}$
work done in pulling the chain on the table
$W=\frac{m g L}{2 n^{2}}=\frac{4 \times 10 \times 2}{2 \times\left(\frac{10}{3}\right)^{2}}=3.6 \mathrm{J}$
Standard 11
Physics