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Question

A block of wood is floating on water with it’s dimensions 50 cm × 50 cm × 50 cm inside water. Calculate the buoyant force acting on the block. Take g = 9.8 N kg-1.

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Answer

g = 9.8 N kg-1

density of water = 1000 kg m3

dimensions of wooden block = 50 cm × 50 cm × 50 cm

= 0.5 m × 0.5 m × 0.5 m    [converting to metres]

Volume of wooden block = 0.5 m × 0.5 m × 0.5 m

= 0.125 m3

Buoyant force = volume of block × density of water × g

= 0.125 × 1000 × 9.8

= 1225 N

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A weather forecasting plastic balloon of volume 15 m3 contains hydrogen of density 0.09 kg m-3. The volume of an equipment carried by the balloon is negligible compared to it’s own volume. The mass of the empty balloon alone is 7.15 kg. The balloon is floating in air of density 1.3 kg m-3. Calculate : (i) the mass of hydrogen in the balloon, (ii) the mass of hydrogen and balloon, (iii) the total mass of hydrogen, balloon and equipment if the mass of equipment is x kg, (iv) the mass of air displaced by balloon and (v) the mass of equipment using the law of floatation.

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