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

Question

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

1 Answer

Impact of this question

6445 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-05-07T10:04:56

$F = 5862.36 N$ $F = 5862.36N$

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
$F = m g$ $F = color(red)(m)color(blue)(g)$

$F = force$ $F = "force"$

$m = m a s s$ $color(red)(m = mass)$
$g = gravitational strength = 9.8 \frac{N}{k g}$ $color(blue)(g = "gravitational strength" = 9.8 N/(kg))$

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

$ρ = \frac{m}{V}$ $color(brown)(rho) = color(red)(m)/color(green)(V)$

rearrange (solve for m):

$m = ρ \cdot V$ $color(red)(m) = color(brown)(rho) * color(green)(V)$

$ρ = d e n s i t y, and density of water is fixed = 997 \frac{k g}{m^{3}}$ $color(brown)(rho = density, "and density of water is fixed" = 997(kg)/m^3)$
$V = v o l u m e = 0.6 m^{3}$ $color(green)(V = volume = 0.6m^3)$

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

$m = m a s s$ $color(red)(m = mass)$

now substitute

$m = 997 \frac{k g}{m^{3}} \cdot 0.6 m^{3}$ $m = 997(kg)/m^3*0.6m^3$
$m = 598.2 k g$ $m = 598.2kg$

now find the force

$F = m g$ $F = mg$

$F = 598.2 k g \cdot 9.8 \frac{N}{k g}$ $F = 598.2kg * 9.8N/(kg)$

$F = 5862.36 N$ $F = 5862.36N$

Science

Math

Humanities

... and beyond

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

1 Answer

Explanation:

Related questions

Impact of this question