/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 19 A sphere completely submerged in... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 14: Q. 19 (page 384)

A sphere completely submerged in water is tethered to the bottom with a string. The tension in the string is one-third the weight of the sphere. What is the density of the sphere?

Short Answer

Expert verified

The density of the sphere if tension within the string is one-third the load of the sphere, 蚁b=750kg/m3

Step by step solution

01

Newton's first law.

The law of inertia, often referred to as Newton's first law, states that if a body is at rest or occupation a line at a relentless speed, it will remain at rest or still move in an exceedingly straight path at a continuing speed until it's acted with by a force.

02

Derive the Force.

Using the information provided within the exercise and Newton's first law, with the positive direction upwards, we will write:

FB-T-Fg=0鈬�FB=FG+T=43mg

03

Find the density.

Knowing the buoyant force formula and expressing the ball's mass asm=蚁bV, we may write:

蚁wgV=43蚁bVg鈬�蚁b=34蚁w

Because we all know the density of water, we will calculate the numerical solution as,

蚁b=34脳1000=750kg/m3

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 91影视!

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

A less-dense liquid of density 蚁1floats on top of a more-dense liquid of density 蚁2. A uniform cylinder of length Land density 蚁, with 蚁1<蚁<蚁2, floats at the interface with its long axis vertical. What fraction of the length is in the more-dense liquid?

Postural hypotension is the occurrence of low systolic blood pressure when a person stands up too quickly from a reclining position. A brain blood pressure lower than 90mmof Hgcan cause fainting or lightheadedness. In a healthy adult, the automatic constriction and expansion of blood vessels keep the brain blood pressure constant while posture is changing, but disease or aging can weaken this response. If the blood pressure in your brain is 118mmof Hgwhile lying down, what would it be when you stand up if this automatic response failed? Assume your brain is 40cmfrom your heart and the density of blood is1060kg/m3.

A cylinder with cross-section area Afloats with its long axis vertical in a liquid of density 蚁.

a. Pressing down on the cylinder pushes it deeper into the liquid. Find an expression for the force needed to push the cylinder distance xdeeper into the liquid and hold it there.

b. A 4.0-cm-diameter cylinder floats in water. How much work must be done to push the cylinder 10cmdeeper into the water?

A 50-cm-thick layer of oil floats on a 120-cm-thick layer of water. What is the pressure at the bottom of the water layer?

The container shown in FIGURE EX14.12 is filled with oil. It is open to the atmosphere on
the left.
a. What is the pressure at point A?
b. What is the pressure difference between points A and B? Between points A and C?
See all solutions

Recommended explanations on Physics Textbooks

Kinematics Physics

Read Explanation

Solid State Physics

Read Explanation

Conservation of Energy and Momentum

Read Explanation

Linear Momentum

Read Explanation

Turning Points in Physics

Read Explanation

Wave Optics

Read Explanation
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.