Question

How is the upthrust related to the volume at the body submerged in liquid

Answer 1

• Upthrust force acting on a submerged body is equal the weight of the liquid displaced whose volume is equal to volume of the submerged body.

• Expression for the upthrust force:

Fb=Weight of liquid displaced by immersed portion

= (density of liquid) x (volume of liquid displaced) x g

=(density of liquid)) x (volume of submerged portion of the body) x g

Answer 2

Answer:

Greater the body’s volume immersed in a liquid, the more the upthrust

Explanation:

• The more the portion of a body is immersed in a liquid, it experiences more upthrust by that liquid until it is completely immersed.
• When two bodies having same mass fall freely on the surface (considering cotton and stones), stones fall faster than cotton, because the upthrust due to air on the stones is lesser than the upthrust that acts on cotton.
• Because in the differences in volume of stones and cotton, due to lesser volume of stones, it faces lesser upthrust, while cotton with more volume experiences more upthrust.      
• Magnitude of upthrust depends on the volume of liquid displaced by the body when immersed in the liquid. So more the liquid displaced, more is the upthrust.