A large block of ice 5 m thick has a vertical hole drilled in it and is floating in a lake. the minimum length of the rope required to draw a bucketfull of water through the hole is (density of ice = 900 kg/m3)
mw = ml
ρwVw = ρ1V1
ρwA.hw = ρ1Ah1
103 x (5 - x) = 900 x 5
10 - 2x = 9; 2x = 1; x = 0.5m