Question

A scuba diver and her gear displace a volume of 61.0 L and have a total mass of 64.1 kg .What is the buoyant force on the diver in sea water? will the diver sink or float?

Answer 1

Diver will sink

Step-by-step explanation:

61 L = 0.061 cubic meters

Suppose sea water has a density of
`\rho = 1029 kg/m^3`. The buoyant force of the sea water is equals to the weight of seawater that the diver displaces in 0.061 m3 volume

So the mass of seawater he displaces is

`m = V\rho = 0.061 * 1029 = 62.769 kg`

As the diver's mass is 64.1 kg which is larger than the mass of seawater displaced, so as the weights. Therefore the diver will sink.