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Question

State three characteristic properties of upthrust.

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Answer

The upthrust has the following three characteristic properties:

  1. The larger the volume of a body submerged in a fluid, the greater is the upthrust.
  2. For the same volume of a body inside a fluid, the more the density of the fluid, the greater is the upthrust.
  3. The upthrust acts on the body in an upward direction at the centre of buoyancy i.e., the centre of gravity of the displaced fluid.

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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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