Physics for Scientists and Engineers
Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
bartleby

Videos

Question
Book Icon
Chapter 13, Problem 89P

(a)

To determine

Volume of the balloon

(a)

Expert Solution
Check Mark

Answer to Problem 89P

  69.67 m3

Explanation of Solution

Given:

Density of air =ρa=1.3 kgm3

Density of helium =ρHe=0.18 kgm3

Mass of skin of balloon =mb=1.5 kg

Weight of skin of balloon =wb

Weight of the load =wL=750 N

Force of buoyancy =FB

Volume of the balloon =Vb

Formula Used:

Weight is given as

  w=mg

Force of buoyancy is given as

  FB=ρVg

Calculation:

Weight of the skin of the balloon is given as

  wb=mb gwb=(1.5)(9.8)wb=14.7 N

Weight of the helium in the balloon in downward direction is given as

  wHe=ρHeVbg

Force of buoyancy on the balloon in upward direction is given as

  FB=ρa Vb g

Using equilibrium of force in vertical direction, we get the force equation as

  FB=wb+wHe+wLρa Vb g=14.7+ρHeVbg+750(1.3) Vb (9.8)=(0.18)Vb(9.8)+764.7(12.74) Vb =(1.764)Vb+764.7(12.741.764) Vb =764.7 Vb =764.710.976 Vb =69.67 m3

Conclusion:

Hence,the volume of the balloon comes out to be 69.67 m3 .

(b)

To determine

The initial acceleration of the balloon.

(b)

Expert Solution
Check Mark

Answer to Problem 89P

  5.2 ms2

Explanation of Solution

Given:

Density of air =ρa=1.3 kgm3

Density of helium =ρHe=0.18 kgm3

Mass of skin of balloon =mb=1.5 kg

Weight of skin of balloon =wb

Weight of the load =wL=900 N

Mass of the load =mL

Force of buoyancy =FB

Volume of the balloon =Vb=2(69.67)=139.34 m3

Acceleration of the balloon =a

Formula Used:

Weight is given as

  w=mg

Force of buoyancy is given as

  FB=ρVg

Mass is given as

  mass =weightgm = wg

According to Newton’s second law, we have

  Fnet=ma

Calculation:

Weight of the skin of the balloon is given as

  wb=mb gwb=(1.5)(9.8)wb=14.7 N

Weight of the helium in the balloon in downward direction is given as

  wHe=ρHeVbg

Force of buoyancy on the balloon in upward direction is given as

  FB=ρa Vb g

Mass of the load is given as

  mL=wLgmL=9009.8mL=91.8 kg

Using the forces in vertical direction, the force equation as

  FBwbwHewL=(mb+mHe+mL)aFBwbwHewL=(mb+ρHeVb+mL)aρa Vb gwbρHeVb gwL=(mb+ρHeVb+mL)a(1.3)(139.34)(9.8)14.7(0.18)(139.34)(9.8)900=(1.5+(0.18)(139.34)+91.8)a614.7=(118.4)aa=5.2 ms2

Conclusion:

Hence, the initial acceleration of the balloon comes out to be 5.2 ms2 .

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!
Students have asked these similar questions
In a LASIK vision correction, the power of a patient's eye is increased by 3.10 D. Assuming this produces normal close vision, what was the patient's near point in m before the procedure? (The power for normal close vision is 54.0 D, and the lens-to-retina distance is 2.00 cm.) 0.98 x m
Don't use ai to answer I will report you answer
A shopper standing 2.00 m from a convex security mirror sees his image with a magnification of 0.200. (Explicitly show on paper how you follow the steps in the Problem-Solving Strategy for mirrors found on page 1020. Your instructor may ask you to turn in this work.) (a) Where is his image (in m)? (Use the correct sign.) -0.4 m in front of the mirror ▾ (b) What is the focal length (in m) of the mirror? -0.5 m (c) What is its radius of curvature (in m)? -1.0 m

Chapter 13 Solutions

Physics for Scientists and Engineers

Knowledge Booster
Background pattern image
Physics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
SEE MORE QUESTIONS
Recommended textbooks for you
Text book image
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Text book image
University Physics Volume 1
Physics
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:OpenStax - Rice University
Text book image
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Text book image
College Physics
Physics
ISBN:9781938168000
Author:Paul Peter Urone, Roger Hinrichs
Publisher:OpenStax College
Text book image
Glencoe Physics: Principles and Problems, Student...
Physics
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Glencoe/McGraw-Hill
Text book image
Physics for Scientists and Engineers, Technology ...
Physics
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Gas density and PV=nRT, the ideal gas law; Author: Crash Chemistry Academy;https://www.youtube.com/watch?v=RFF1MIQDdds;License: Standard YouTube License, CC-BY
Weight, Force, Mass & Gravity | Forces & Motion | Physics | FuseSchool; Author: FuseSchool - Global Education;https://www.youtube.com/watch?v=U78NOo-oxOY;License: Standard Youtube License