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The density of a floating body can be determined bytying
Chapter 3, Problem 142P(choose chapter or problem)
Problem 142P
The density of a floating body can be determined bytying weights to the body until both the body and the weights are completely submerged, and then weighing them separately in air. Consider a wood log that weighs 1540 N in air. If it takes 34 kg of lead (ρ = 11,300 kg/m3) to completed sink the log and the lead in water, determine the average density of the log.
Questions & Answers
QUESTION:
Problem 142P
The density of a floating body can be determined bytying weights to the body until both the body and the weights are completely submerged, and then weighing them separately in air. Consider a wood log that weighs 1540 N in air. If it takes 34 kg of lead (ρ = 11,300 kg/m3) to completed sink the log and the lead in water, determine the average density of the log.
ANSWER:
Solution to 142P
Step 1 of 4
We need to find the average density of the wooden log if it is tied onto a lead weight and submerged in water.
Given data:
Weight of wooden log in air=
Mass of lead=
Density of lead=
For a body to be completely submerged in a liquid and floating on to, the density of the body and the density of the liquid must be same so that the buoyant force and the gravitational force will become equal.
Here,
=force
is density
=acceleration due to gravity
= volume
=height
= area
