- #1

Richie Smash

- 293

- 15

## Homework Statement

Hello, there is a cylinder with cross sectional area 10cm

^{2}.

The cylinder has a length of 50cm partially submerged in water and floats upright.

Taking acceleration due to gravity as 10 m s

^{-2}and the density of water to be 1000 kg m

^{-3}

Find the weight of the cylinder using archimedes principle.

## Homework Equations

Upthrust = volume *density *gravity

Upthrust = mass of water displaced *gravity

## The Attempt at a Solution

So, I found the volume of the part of the cylinder that is submerged by multiplying the cross sectional area by 50cm and got 500cm

^{3}

From here I converted that that to metres and then used the formula for upthrust involving density and gravitational acceleration and I got 0.05 N

Now I use the knowledge that the upthrust = mass of water displaced * gravity

so 0.05N= Mw*10

Mw= 0.05/10

Mw = 0.005Kg

So now know the mass for that part of the cylinder, but the problem is they didnt inform me of what fraction was submerged, so I don't know how to find the mass for the whole thing.

If I did I would use F=ma and solve.