A rope ladder of length L is attached to ballon of mass m. As the man of mass m clims the ladder in to the lballon basket the ballon comes donws by a vertical distance s. Then increase in potential energy of man divided by increase inn potential energy of ballon is

Options

A. `(L-s)/(s)`
B. `(L)/(s)`
C. `(s)/(L-s)`
D. `L-s`

Answer

1

Explanation

Work done by man
mg L = mg (L-s)++mg.s
where .mg(L-s) = increases in P.E of man
mg s = increases in P.E of man
mg s= increases in P.E balloon
so (increase in P.E of man)/(increase of P.E of ballon)=(mg(L-s)/(mgs)`
`=(L-s)/(s)`