/*! 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} Q73P CP (a) Show that a projectile wi... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 3: Q73P (page 614)

CP (a) Show that a projectile with mass m can 鈥渆scape鈥� from the surface of a planet if it is launched vertically upward with a kinetic energy greater than , where g is the acceleration due to gravity at the planet鈥檚 surface and Rp is the planet鈥檚 radius. Ignore air resistance. (See Problem 18.72.) (b) If the planet in question is the earth, at what temperature does the average translational kinetic energy of a nitrogen molecule (molar mass) equal that required to escape? What about a hydrogen molecule (molar mass ?) (c) Repeat part (b) for the moon, for which and . (d) While the earth and the moon have similar average surface temperatures, the moon has essentially no atmosphere. Use your results from parts (b) and (c) to explain why.

Short Answer

Expert verified

(a) When Achieve the projectile will escape from planet surface

(b) The Nitrogen will escape from the Earth surface at temperature of .

The temperature of hydrogen molecule to escape from earth surface is.

(C) Temperature required to escape nitrogen molecule from moon surface is

The temperature required to escape from moon surface is

(d)The corresponding temperature for the escape velocity at moon is far less than that of earth

Step by step solution

01

About Gravity And Translational kinetic energy of the molecule and Determine the projectile can escape from the surface of the planet

Gravity is the force by which a planet or other body draws objects toward its centre. The force of gravity keeps all of the planets in orbit around the sun.

The gravitational energy at infinite is consider as 0

The gravitational energy of earth surface with mass m is

,

Therefore When Achieve the projectile will escape from planet surface .

02

Determine temperature required for  Nitrogen And hydrogen molecule to escape.from earth surface

Solve for average translational kinetic energy

Therefore the Nitrogen will escape from the Earth surface at temperature of .

For hydrogen molecule we have

Therefore The temperature of hydrogen molecule to escape is

03

Determine the temperature of Nitrogen and Hydrogen to escape from  moon

For the moon we have

Therefore temperature require to escape nitrogen molecule from moon surface is

.

Therefore the temperature require to escae from moon surface is

04

Determine why  there is no atmosphere on moon

the corresponding temperature for the escape velocity at moon is far less than that of earth .Therefore at moon large fraction of gas molecules escapes away from the moon

over large period of time most of the molecules escapes that's why there is no atmosphere on moon

Therefore ,The corresponding temperature for the escape velocity at moon is far less than that of earth

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

It is well known that a potato bakes faster if a large nail is suck through it .Why? Does an Aluminium nail work better than a steel one? Why or why not? There is also a gadget on the market to hasten the roasting meat; it consists of a hollow metal tube containing a wick and some water. This is claimed to work much better than a solid metal rod. How does it work?

If you are told the initial and final states of a system and the associated change in internal energy, can you determine whether the internal energy change was due to work or to heat transfer? Explain.

In addition to the normal cooking directions printed on the back of a box of rice, there are also 鈥渉igh-altitude directions.鈥� The only difference is that the 鈥渉igh-altitude directions鈥� suggest increasing the cooking time and using a greater volume of boiling water in which to cook the rice. Why should the directions depend on the altitude in this way?

Discuss the application of the first law of thermodynamics to a mountaineer who eats food, gets warm and perspires a lot during a climb, and does a lot of mechanical work in raising herself to the summit. The mountaineer also gets warm during the descent. Is the source of this energy the same as the source during the ascent?

-18.22 (a) If you apply the same amount of heat to 1.00 mol of an ideal monatomic gas and 1.00 mol of an ideal diatomic gas, which one (if any) will increase more in temperature? (b) Physically, why do diatomic gases have a greater molar heat capacity than mono-atomic gases?

See all solutions

Recommended explanations on Physics Textbooks

Conservation of Energy and Momentum

Read Explanation

Rotational Dynamics

Read Explanation

Classical Mechanics

Read Explanation

Measurements

Read Explanation

Electricity and Magnetism

Read Explanation

Fields in 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.