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You need to determine the density of a ceramic statue. If
Chapter 15, Problem 48P(choose chapter or problem)
Problem 48P
You need to determine the density of a ceramic statue. If you suspend it from a spring scale, the scale reads 28.4 N. If you then lower the statue into a tub of water, so that it is completely submerged, the scale reads 17.0 N. What is the statue’s density?
Questions & Answers
QUESTION:
Problem 48P
You need to determine the density of a ceramic statue. If you suspend it from a spring scale, the scale reads 28.4 N. If you then lower the statue into a tub of water, so that it is completely submerged, the scale reads 17.0 N. What is the statue’s density?
ANSWER:
Step 1 of 2
We have to determine the density of a ceramic statue.
When the statute is suspended from a spring scale, the scale reads 28.4 N which is the gravitational force acting on the statue and when it is completely submerged into a tub of water, the scale reads 17.0 N which is the force by the spring on the statue.
In water, the gravitational force on the statue is balanced by the sum of the buoyant force \(F_{B}\) and the spring's force on the statue.
\(\left(F_{G}\right)_{\text {statue }}=F_{B}+F_{\text {spring }}\)
Where, \(F_{B}=\) Buoyant force in \(\mathrm{N}\)