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

1 Answer
May 7, 2018

Answer:

#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#