What force must be applied to lift a 300 kg stone with a volume of 115 dm3 under water?

Stone volume in cubic meters:

V = 115 dm3 = 0.115 m3.

The buoyant force FА = ρgV, where ρ is the density of water, g is the acceleration of gravity.

The force of gravity acting on the stone:

Fт = mg.

The force with which the stone presses to the bottom:

Fт – FА = g (m- ρV) = 10 m / s2 * (300 kg – 1000 kg / m3 * 0.115 m3) = 10 * 185 N = 1850 N.

Answer: You need to apply a force of 1850 N.

 



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