/*! 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} Problem 37 You are on the Moon and would ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 6: Problem 37

You are on the Moon and would like to send a probe into space so that it does not fall back to the surface of the Moon. What launch speed do you need?

Short Answer

Expert verified
Answer: The minimum launch speed required is 3.122 脳 10^5 m/s.

Step by step solution

01

Identify the variables

Identify the variables given in the problem. The mass of the Moon (M_moon) is 7.342 脳 10^22 kg, the radius of the Moon (R_moon) is 1.737 脳 10^6 m, and the gravitational constant (G) is 6.674 脳 10^-11 N m虏/kg虏.
02

Write down the escape velocity formula

Write down the escape velocity formula to find the minimum launch speed: v_escape = sqrt((2*G*M_moon) / R_moon)
03

Insert the given values

Insert the given values into the escape velocity formula: v_escape = sqrt((2*6.674脳10^-11 N m虏/kg虏*7.342脳10^22 kg) / 1.737脳10^6 m)
04

Perform the calculations

Perform the calculations to find the escape velocity: v_escape = sqrt((2*6.674脳10^-11 * 7.342脳10^22) / 1.737脳10^6) = sqrt(9.738脳10^11) = 3.122 脳 10^5 m/s
05

Find the required launch speed

The required launch speed to send a probe into space so that it does not fall back to the surface of the Moon is 3.122 脳 10^5 m/s.

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

A 75.0 -kg skier starts from rest and slides down a 32.0 -m frictionless slope that is inclined at an angle of \(15.0^{\circ}\) with the horizontal. Ignore air resistance. (a) Calculate the work done by gravity on the skier and the work done by the normal force on the skier. (b) If the slope is not frictionless so that the skier has a final velocity of \(10.0 \mathrm{m} / \mathrm{s},\) calculate the work done by gravity, the work done by the normal force, the work done by friction, the force of friction (assuming it is constant), and the coefficient of kinetic friction.
When the spring on a toy gun is compressed by a distance \(x\), it will shoot a rubber ball straight up to a height of \(h .\) Ignoring air resistance, how high will the gun shoot the same rubber ball if the spring is compressed by an amount \(2 x ?\) Assume \(x<<h\)
The orbit of Halley's comet around the Sun is a long thin ellipse. At its aphelion (point farthest from the Sun), the comet is $5.3 \times 10^{12} \mathrm{m}\( from the Sun and moves with a speed of \)10.0 \mathrm{km} / \mathrm{s} .$ What is the comet's speed at its perihelion (closest approach to the Sun) where its distance from the Sun is \(8.9 \times 10^{10} \mathrm{m} ?\)
The tension in the horizontal towrope pulling a waterskier is \(240 \mathrm{N}\) while the skier moves due west a distance of \(54 \mathrm{m}\). How much work does the towrope do on the water-skier?
A top fuel drag racer with a mass of \(500.0 \mathrm{kg}\) completes a quarter- mile \((402 \mathrm{m})\) drag race in a time of \(4.2 \mathrm{s}\) starting from rest. The car's final speed is \(125 \mathrm{m} / \mathrm{s}\). What is the engine's average power output? Ignore friction and air resistance.
See all solutions

Recommended explanations on Physics Textbooks

Electricity and Magnetism

Read Explanation

Electrostatics

Read Explanation

Engineering Physics

Read Explanation

Waves Physics

Read Explanation

Space Physics

Read Explanation

Atoms and Radioactivity

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.