Easy Density Problem

  • Thread starter fozziejr2
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A wooden statue of Elsie the cow is held under water in a swimming pool with a force 6100 N. If Elsie's mass is 302.4 kg, what is the density of the statue?

This was off my last test, I know the set up from the problem was something like:
density(water)*g*V=density(statue)*g*V+external force
and V=m(statue)/density(statue)
but I must be messing up the density of the water, and I do not know how to find the volume of the statue. I got 105 which was a choice on the test, but it was incorrect and the answer is 327. I must be plugging in the wrong numbers unless the test was wrong. Please let me if you see where the 327 came from. Thanks. Maybe this is even the wrong equation I am using, but I thought this was correct.
 

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Doc Al
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fozziejr2 said:
density(water)*g*V=density(statue)*g*V+external force
and V=m(statue)/density(statue)
Nothing wrong with that.
but I must be messing up the density of the water, and I do not know how to find the volume of the statue.
The density of water is about 1000 kg/m^3. Don't neglect to take full advantage of the given information: the mass of the statue. Using this information, everything on the right side of your first equation is known; you should be able to solve for V, and then the density.
 

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