Physics
A body of volume V and density ρs, floats with volume v inside a liquid of density ρL. Show that = .
Fluids Upthrust
26 Likes
Answer
Given,
Volume of body = V
Volume of body submerged in liquid = v
Density of body = ρs
Density of liquid = ρL
Let weight of the body be W. W = volume of the body x density of the body x g = V ρs g
Weight of liquid displaced by the body will be equal to upthrust. Let it be FB.
FB = volume of the liquid displaced x density of the liquid x g = v ρL g
From principle of floatation,
W = FB
⇒ V ρs g = v ρL g
⇒ =
Hence proved.
Answered By
17 Likes
Related Questions
A body is held immersed in a liquid. (i) Name the two forces acting on body and draw a diagram to show these forces. (ii) State how do the magnitudes of two forces mentioned in part (i) determine whether the body will float or sink in liquid when it is released. (iii) What is the net force on body if it (a) sinks, (b) floats?
Explain the following:
Icebergs floating in sea are dangerous for ships.
Explain the following:
An egg sinks in fresh water, but floats in a strong salt solution.
Draw a diagram to show the forces acting on a body floating in water with it's some part submerged. Name the forces and show their points of application. How is the weight of water displaced by the floating body related to the weight of the body itself?