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## Homework Statement

A scuba diver and her gear displace a volume of 65.0L and have a total mass of 68.0kg. What is the buoyant force on her and will the diver float or sink.

## Homework Equations

F

_{B}=p

_{F}Vg

## The Attempt at a Solution

The first thing I did was find the weight of the diver as w=mg=68.0kgX9.8m/s

^{2}=670N

Then I tried to find the buoyant force using archemedes' principal (F

_{B}=p

_{H20}Vg

I used the given density as 10

^{3}kg/m

^{3}, the volume of water displaced is 65.0L, which I converted to m

^{3}by using the factor of 10

^{3}L/1m

^{3}to get 6.5X10

^{4}m

^{3}. The equation then becomes

(10

^{3}kg/m

^{3})(6.5X10

^{4}m

^{3})(9.8m/s

^{2})

and I get 6.4X10

^{8}N, which is greater than mg, so the diver would float.

I'm wondering if this is correct or not

Edit: Forgot to mention, I'm not too concerned with sigfigs, as long as the answer is withing a reasonable variance the teacher will give me credit.