Posted by **Phillip** on Tuesday, December 16, 2008 at 12:15am.

A piece of metal weighs 50.0 N in air, 36.0 N in water, an 41.0 N in an unknown liquid. Find the density of the unknown liquid.

- Physics - Buoyant Force -
**Damon**, Tuesday, December 16, 2008 at 3:25am
find volume of metal first

Buoyant force in water = 14 N = weight of water displaced in 1 g gravitational field

mass of water displaced = 14 N/9.8 m/s^2 = 1.43 kg of water displaced

the density of water = 1,000 kg/m^3

so

volume of metal = 1.43*10^-3 m^3

Buoyant force in unknown = 50 - 41 = 9 N

so mass of unknown displace = 9/9.8 = .918 kg

so the density of unknown = .918kg/1.43*10^-3 = 642 kg/m^3

or 64.2% of the water density

- Physics - Buoyant Force -
**Phillip**, Tuesday, December 16, 2008 at 8:59am
I'm confused about the "1 g gravitational field". What's the 1 g referring to and why is it 1 g?

- Physics - Buoyant Force -
**Damon**, Tuesday, December 16, 2008 at 10:43am
g is the acceleration of gravity which is about 9.8 m/s^2 on the surface of earth.

Since the weights were given in Newtons, a unit of force, not mass, I used weight in Newtons = mass in kilograms * acceleration in meters / second squared to find the mass in kilograms.

- Physics - Buoyant Force -
**kriz**, Wednesday, September 30, 2009 at 12:50pm
where did you got the buoyant force in water?

- Physics - Buoyant Force -
**Mohammed**, Wednesday, February 4, 2015 at 5:45pm
It's well known it doesn't need to be given (like the gravitational force)

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