**Educational Content: Buoyancy and Volume Calculation**A paperweight, when weighed in air, has a weight of \( W = 4.65 \, \text{N} \). When completely immersed in water, however, it has a weight of \( W_{\text{in water}} = 3.43 \, \text{N} \). Find the volume of the paperweight.---**Instructions:**Enter the calculated volume in the provided space, followed by the appropriate units.**Concepts Involved:**- *Buoyant Force:* The difference in weight in air and in water is due to the buoyant force exerted by water.- *Archimedes' Principle:* This principle helps determine that the buoyant force is equal to the weight of the liquid displaced by the object.- *Volume Calculation:* Use Archimedes' principle to find the volume of the object based on the change in weight.**Formulas to Consider:**- \( F_{\text{buoyant}} = W - W_{\text{in water}} \)- \( F_{\text{buoyant}} = \rho_{\text{water}} \times V \times g \)Where:- \( F_{\text{buoyant}} \) is the buoyant force,- \( \rho_{\text{water}} \) is the density of water (approximately \( 1000 \, \text{kg/m}^3 \)),- \( V \) is the volume of the object,- \( g \) is the acceleration due to gravity (approximately \( 9.81 \, \text{m/s}^2 \)).**Calculate the Volume:**Rearrange the formula to solve for \( V \):\[V = \frac{F_{\text{buoyant}}}{\rho_{\text{water}} \times g}\]**Submit your answer in the box provided:**- Number: [Text Box]- Units: [Dropdown for Units]--- Make sure you understand the underlying principles of buoyancy and volume calculation for success in solving similar problems.

The weight in air: Wair=4.65 N The weight in water: Wwater=3.43 N

Answered: A paperweight, when weighed in air, has…

A paperweight, when weighed in air, has a weight of W = 4.65 N. When completely immersed in water, however, it has a weight of Win water = 3.43 N. Find the volume of the paperweight.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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