How Do You Calculate Apparent Weight and Buoyant Force?

AI Thread Summary
To calculate apparent weight and buoyant force, it's essential to use correct unit conversions and density values. For the first problem, the density of the metal object must be accurately converted from grams per cubic centimeter to kilograms per cubic meter. In the second problem, the volume of the metal cylinder should be converted from cubic millimeters to cubic meters for proper calculations. The buoyant force can be determined using the formula that incorporates the density of the liquid and the volume of the submerged object. Understanding Archimedes' principle is crucial for solving these types of problems effectively.
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Homework Statement



1) A 0.0200 kg metal(density=4.000 g/cm^3) object is suspended from a thead and is submerged in a jar of oil(density=1.500 kg/dm^3) What is the apparent weight in the thread) For this one I keep doing this one but I think I am getting it wrong because of my conversion

2)A metal cylinder has a voluem of 2150 mm^3. Find the buoyant force when it is completely submerged in a liquid that has a density of 0.900 kg/dm^3 For this one Idk y my answer is wrong but can someone explain 2 me because I think this one I'm getting wrong because of my units but please show me the steps on how 2 solve this problem

Homework Equations





The Attempt at a Solution



1)(1500 kg/m^3)(40 kg/m^3)(9.80 m/s^2)

2)(800 kg/m^3)(2.150 m^3)(9.80 m/s^2)
 
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First, 4g/cm^3 does not equal 40 kg/m^3.

Second, you need the denssity of your oil.

Third, read about that old Greek, Archimedes.
 
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