BuyFindarrow_forward

College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

Solutions

Chapter
Section
BuyFindarrow_forward

College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

A light spring of constant A = 90.0 N/m is attached vertically to a table (Fig. P9.87a). A 2.00-g balloon is filled with helium (density = 0.179 kg/m3) to a volume of 5 00 m3 and is then connected to the spring, causing the spring to stretch as shown in Figure P9.87b. Determine the extension distance L when the balloon is in equilibrium.

images

To determine
The extension distance L when the balloon is in equilibrium.

Explanation
At equilibrium state of the balloon, the sum of forces on the balloon is BFsFg,balloonFg,He=0 . Let us give the expression for each force on the balloon by starting from the upward force of buoyancy B=(ρairVballoon)g and all three downward forces are Fg,balloon=mg , Fg,He=(ρHeVballoon)g , and the spring force Fs=k|Δx|=kL . Using all these expressions, the extension distance of the spring can be written as L=[(ρairρHe)Vballoonm]g/k .

Given info: The constant of spring is 90.0N/m , mass of the balloon is 2.00kg , density of helium is 0.179kg/m3 , density of air is 1.29kg/m3 , volume of the balloon is 5.00m3 , and acceleration due to gravity is 9.80m/s2 .

The formula for the extension distance of the spring when the balloon in equilibrium is,

L=[(ρairρHe)Vballoonm]gk

  • ρair is density of air

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Additional Science Solutions

Find more solutions based on key concepts

Show solutions add

A room measures 10.0 ft 11.0 ft and is 9.0 ft high. What is its volume in liters?

General Chemistry - Standalone book (MindTap Course List)

Dairy foods such as butter cream, and cream cheese are good sources of calcium, whereas vegetable such as brocc...

Nutrition: Concepts and Controversies - Standalone book (MindTap Course List)

In which domain and kingdom are humans classified?

Biology: The Dynamic Science (MindTap Course List)