Question

What force on a floating object displaces 0.6 m3 of water?

Answer 1

`F = 5862.36N`

Explanation:

Buoyancy force is equal to the weight of the displaced fluid(liquid or gas) by the object.

So we need to measure the weight of the displaced water by
`F = color(red)(m)color(blue)(g)`

`F = "force"`

`color(red)(m = mass)`
`color(blue)(g = "gravitational strength" = 9.8 N/(kg))`

but first, we need to find what is `m`
so from density formula

`color(brown)(rho) = color(red)(m)/color(green)(V)`

rearrange (solve for m):

`color(red)(m) = color(brown)(rho) * color(green)(V)`

`color(brown)(rho = density, "and density of water is fixed" = 997(kg)/m^3)`
`color(green)(V = volume = 0.6m^3)`

*if you are given the V in Liters you have to convert it to a cubic meter or cm *

`color(red)(m = mass)`

now substitute

`m = 997(kg)/m^3*0.6m^3`
`m = 598.2kg`

now find the force

`F = mg`

`F = 598.2kg * 9.8N/(kg)`

`F = 5862.36N`