Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

(II) A spherical balloon has a radius of 7.35 $\mathrm{m}$ and is filledwith helium. How large a cargo can it lift, assuming that theskin and structure of the balloon have a mass of 930 $\mathrm{kg}$ ?Neglect the buoyant force on the cargo volume itself.

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

920 $\mathrm{kg}$

Physics 101 Mechanics

Chapter 13

Fluids

Fluid Mechanics

University of Michigan - Ann Arbor

Hope College

University of Sheffield

Lectures

03:45

In physics, a fluid is a substance that continually deforms (flows) under an applied shear stress. Fluids are a subset of the phases of matter and include liquids, gases, plasmas and, to some extent, plastic solids.

09:49

A fluid is a substance that continually deforms (flows) under an applied shear stress. Fluids are a subset of the phases of matter and include liquids, gases and plasmas. Fluids display properties such as flow, pressure, and tension, which can be described with a fluid model. For example, liquids form a surface which exerts a force on other objects in contact with it, and is the basis for the forces of capillarity and cohesion. Fluids are a continuum (or "continuous" in some sense) which means that they cannot be strictly separated into separate pieces. However, there are theoretical limits to the divisibility of fluids. Fluids are in contrast to solids, which are able to sustain a shear stress with no tendency to continue deforming.

0:00

(II) A spherical balloon h…

03:46

04:11

A spherical balloon has a …

02:55

08:37

03:28

A $3.2-$ kg balloon is fil…

05:27

A spherical helium balloon…

01:24

A hot-air balloon can lift…

01:58

(II) How many helium-fille…

01:43

(a) How much helium is req…

04:45

A 3.2 -kg balloon is fille…

02:35

(a) How much helium (densi…

01:14

What is the buoyant force …

01:30

A hot-air balloon has a vo…

02:51

A hot-air balloon plus car…

01:05

How big would a spherical …

here will Aah be using the essentially applying Newton's second law and saying that the brilliant force of the balloon must eat well the weight of the balloon, plus the weight of the helium inside the balloon. So we can say that force of the bleed Force FCB would be equaling the density of air multiplied by the volume of the balloon multiplied by G. This would be equaling the mass of the helium times G plus the mass of the balloon times G, and then plus the mass of the cargo times tree. And so we can essentially cancel out G for all the terms. And we find that the mass of the cargo will be equaling the density of air multiplied by the volume of the balloon minus the mass of the helium minus the mass of the balloon. Here will Aah be using the essentially applying Newton's second law and saying that the brilliant force of the balloon must eat well the weight of the balloon, plus the weight of the helium inside the balloon. So we can say that force of the bleed force FCB would be equaling the density of air multiplied by the volume of the balloon multiplied by G. This would be equaling the mass of the hell. And so this by definition of mass, uh, the mass of the cargo would be equal in again the density of air times the volume of the balloon minus the density of helium times the volume of the balloon because the bullet is of course, filled with helium and then again minus the mass of the balloon. And so this would be equaling the density of air Liam Times G plus the mass of the balloon times G and then plus the mass of the cargo times tree. And so we can essentially cancel out G for all the terms. And we find that the mass of the cargo will be equaling the density of air multiplied by the volume of the balloon minus the mass of the helium minus the mass of the balloon minus the density of helium multiplied by the volume of the balloon. And then this would be minus the mass of the balloon. And so we can say that the mass of the cargo will be equaling one 0.29 minus 0.179 Of course, the unit's kilograms per cubic meter and then multiply by. And so this, by definition of mass add the mass of the cargo would be equal in again the density of air times the volume of the balloon minus the density of helium times the volume of the balloon because the bullet is of course, filled with helium and then again minus the mass of the balloon. And so this would be equaling the density of air. The volume of the balloon. We're going to treat it as a sphere. So this would be 4/3 pi multiplied by 7.35 meters, cubed minus the mass of the balloon. 930 kilograms. And we find that the mass of the cargo is equaling 900 and 20 kilograms. This would be the maximum load, minus the density of helium multiplied by the volume of the balloon. And then this would be minus the mass of the balloon. And so we can say that the mass of the cargo will be equaling one 0.29 minus 0.179 Of course, the unit's kilograms per cubic meter and then multiply by the maximum mass of the cargo. That would be our final answer. That is the end of the solution. Thank you. For what

View More Answers From This Book

Find Another Textbook

Cornell University

Rutgers, The State University of New Jersey

University of Winnipeg

02:54

What are the steps in balancing nuclear equations?

01:55

Outline the principle for dating materials using radioactive isotopes.

01:36

Discuss the differences between a light water and a heavy water nuclear fiss…

01:53

No form of energy production is without risk. Make a list of the risks to so…

03:22

Explain, with examples, the difference between somatic and genetic radiation…

03:25

(a) What is the activity, in millicuries, of a 0.500 -g sample of $^{237}_{9…

02:32

Explain why achievement of nuclear fusion in the laboratory requires a tempe…

01:59

The radioactive potassium- 40 isotope decays to argon- 40 with a half-life o…

As a result of being exposed to the radiation released during the Chernobyl …

(a) Assuming nuclei are spherical in shape, show that the radius ( $r$ ) of …