As I understand,Jbreezy said:Homework Statement
What is the buoyant force on 0.760 kg of ice held completely submerged underwater.
Homework Equations
The Attempt at a Solution
My book gives
Fb = (m_w) x (g) = (density of water / density of ice)x ( mass of ice) x (g)
g is gravity m_w is mass of water.
I really don't understand this. What is really confusing me is is the density of water / density of ice
I don't get it.
Thanks
barryj said:Think about the concept of Archimedes's principal. Forget the formula. The buoyancy force is equal to the weight of the water displaced.
What physical quantity would (mass of ice) /(density of ice) represent?Jbreezy said:Fb = (m_w) x (g) = (density of water / density of ice)x ( mass of ice) x (g)
Yes.Jbreezy said:What physical quantity would (mass of ice) /(density of ice) represent?
This would be the volume of the ice?
No, you're multiplying a volume by a density, so it should give you a mass - but the mass of what?What would multiplying that by (density of water) give you?
Then it would give you the total density of the mass and the ice?
The mass of water displaced, yes.Jbreezy said:The mass of water?
Yes. So do you now see how the formula in the book works?So then we has mass of water so mass of water times gravity is the good old
F = ma
A buyoant force problem is a physics problem that involves calculating the upward force acting on an object in a fluid, such as water or air. This force is known as the buyoant force and is caused by the difference in density between the object and the surrounding fluid.
The buyoant force is affected by the density of the object and the density of the surrounding fluid. It is also affected by the volume of the object submerged in the fluid. Additionally, the strength of the gravitational force also plays a role in determining the buyoant force.
The buyoant force can be calculated using Archimedes' principle, which states that the buyoant force on an object is equal to the weight of the fluid that the object displaces. This can be expressed mathematically as FB = ρfVg, where FB is the buyoant force, ρf is the density of the fluid, V is the volume of the object submerged, and g is the acceleration due to gravity.
While both buyoant force and weight are forces acting on an object, they are different in their origins. Weight is the force due to gravity acting on an object, while buyoant force is the upward force from the surrounding fluid that opposes the weight. Additionally, weight is a constant force, while the buyoant force can change depending on the density and volume of the object and the surrounding fluid.
The buyoant force has many practical applications in everyday life. It is the principle behind why objects float in water, and it is also used in designing ships and submarines. Additionally, buyoant force is used in scuba diving to determine the amount of weight needed to achieve neutral buoyancy underwater.