Rank in order, from largest to smallest, the densities of blocks a, b, and c in FIGURE Q14.6. Explain.


Short Answer

Expert verified

Density in descending order is ρa> ρc > ρb

Step by step solution

01

Given information

Given figure shows three blocks floating in liquid.

02

Explanation

We know that buoyant force acting on a mass floating in a liquid depends on density or object, submerged volume of object and gravity.

Fbuoyant=Vsρg

Lets assume three blocks are floating have Volume Va, Vb and Vcand density ρa, ρband ρc

Then

Vsaρg=Vaρagρa=VsaVaρVsbρg=Vbρbgρb=VsbVbρVscρg=Vcρcgρc=Vs-cVcρ

So density depends on the ratio of submerged volume to the total volume.

From the figure we can see that

VS-aVa>VS-cVc>VS-bVb

This means the densities are in the order

ρa> ρc > ρb

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

See all solutions

Recommended explanations on Physics Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free