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## Homework Statement

A man decides to make some measurements on a bar of gold before buying it at a cut-rate price. He find that the bar weighs 2000 N in air and 1600 N when submerged in water. Is the bar gold?

## Homework Equations

B = density* V* g

## The Attempt at a Solution

I tried to use the equation B = density *V*g and use 400 N for the buoyant force to solve for the density and compare it to the density of gold. I wanted to use 400 N because that is the difference in the two weights and would be the force of the water pushing up. However, this problem doesn't give the volume so I am not sure how to solve this problem. The answer the book gives is 5.00 x 10^3 kg/m^3 as the density and says that it is clearly not gold. [/B]