A large block of ice 5m thick has a vertical hole drilled in it and is floating in a lake. The minimum length of the rope required to draw a bucketfulll of water through the hole is (density of ice=900km/m3)
Area of ice, A
Weight of ice, W=ρicegL
Weight of water, W=ρwatergh
From condition of equilibrium.
Weight of water = weight of ice
ρicegL=ρwatergh
h=ρiceρwaterL=9001000×5=4.5m
Required length of rope, 5−4.5=0.5m
Hence, length of bucket required to draw water is (5−4.5)=0.5m.