Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 15: Problem 34

How much energy is stored in the surface of a soap bubble 2.1 \(\mathrm{cm}\) in radius if its surface tension is \(4.5 \times 10^{-2} \mathrm{~N} / \mathrm{m} ?\)

Short Answer

Expert verified
The total energy stored in the soap bubble is \(U = 2.38 \times 10^{-4} \) J

Step by step solution

01

Convert the units

First, the radius of the bubble must be converted from centimeters to meters and the surface tension from N/m to J/m^2. To convert cm to m, divide the value by 100. In this case, \( r = \frac{2.1}{100} = 0.021 \, m \) and \( T = 4.5 \times 10^{-2} \, J/m^2 \). these are the units used in the international system for physics problems.
02

Substitute the values into the formula

Now, substitute the given values of \( r \) and \( T \) into the formula \( U = 8 \pi r^2 T \).
03

Calculate the energy stored

Compute the energy using the formula: \( U = 8 \pi (0.021)^2 \times 4.5 \times 10^{-2} \)

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.

Start your free trial

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

Two identical cylindrical vessels with their bases at the same level each contain a liquid of density \(\rho .\) The area of either base is \(A\), but in one vessel the liquid height is \(h_{1}\) and in the other \(h_{2}\). Find the work done by gravity in equalizing the levels when the two vessels are connected.

Find the pressure increase in the fluid in a syringe when a nurse applies a force of \(42.3 \mathrm{~N}\) to the syringe's piston of diameter \(1.12 \mathrm{~cm} .\)

A simple U-tube contains mercury. When \(11.2 \mathrm{~cm}\) of water is poured into the right arm, how high does the mercury rise in the left arm from its initial level?

(a) What is the minimum area of a block of ice \(0.305 \mathrm{~m}\) thick floating on water that will hold up an automobile of mass \(1120 \mathrm{~kg} ?(b)\) Does it matter where the car is placed on the block of ice? The density of ice is \(917 \mathrm{~kg} / \mathrm{m}^{3}\).

Find the total pressure, in pascal, \(118 \mathrm{~m}\) below the surface of the ocean. The density of seawater is \(1.024 \mathrm{~g} / \mathrm{cm}^{3}\) and the atmospheric pressure at sea level is \(1.013 \times 10^{5} \mathrm{~Pa}\).
See all solutions

Recommended explanations on Physics Textbooks

Astrophysics

Read Explanation

Translational Dynamics

Read Explanation

Physics of Motion

Read Explanation

Electrostatics

Read Explanation

Wave Optics

Read Explanation

Space Physics

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.

Sign-up for free