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No. The speed an object will fall in water depends on: 1) The mass of the object compared to the volume of water displaced 2) The hydrodynamic friction between the water and the objects motion 3) The local gravity. For example: A 10cm sphere of iron has a density of 7.8 and a mass of 4.08kg. The mass of water displaced is 0.52kg. Gravity exerts a downward force of 40.0N downwards on the sphere, while the water exerts an upwards force of 5.1N due to bouyancy. This means that there is an initial downward force of 34.9N downwards on the iron sphere. A 10cm sphere of glass has a density of 2.5 and a mass of 1.31kg. Gravity exerts a downward force of 12.8N downwards on the sphere, while the water exerts the same 5.1N upward bouyancy force. This means that there is an initial downward force of 7.7N downwards on the glass sphere. Both spheres will accelerate in water according to F=ma, where (F) is the force exerted, (m) is the mass and (a) is the acceleration. For the iron sphere, the initial acceleration is 8.6m/s2 while for the glass sphere the initial acceleration is 5.9m/s2. This difference is due to the bouyancy force of the water which is the same for both spheres, even though the masses are different. As the spheres accelerate, the drag force of the water will increase from zero to some value which equals the net gravity force calculated above. The drag coefficient will vary somewhat with the speed but it can be considered the same for both spheres if they are both the same smoothness. Since the forces are different, the steady state speed (terminal velocity) will be different for each sphere. A 10cm sphere of balsa wood has a density of 0.1 and a mass of 0.05kg. Gravity exerts a force of 0.5N downwards while the water exerts the same bouyancy force of 5.1N upwards. Thus the balsa sphere accelerates upwards rather than downwards because the water it displaces is heavier than it and squashes it up. It will have a terminal velocity in the upwards direction. By contrast, in a vacuum, there is no bouyancy force as nothing is being displaced so (F) is proportional to (m) and thus (a) is constant. In this case all the spheres would accelerate at the same speed. In our atmosphere, the bouyancy force of air is very small, so objects may appear to fall at the same rate when in fact they are very slightly different. A hydrogen sphere would rise in air, just like a balsa sphere rises in water.

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Wiki User

14y ago
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Anonymous

Lvl 1
3y ago
you have lots of rounding and sign errors in here, bud. not to mention that a downward force applied downward would be an upward force. and then to top it all off you explained it all in a needlessly complicated way. specific gravity will suffice.
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Anonymous

Lvl 1
3y ago
the acceleration in water = acceleration due to gravity * (specific gravity - 1)/specific gravity

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Q: Do objects fall at the same speed through water?
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