Problem

Astronomers use a technique called stellar stereo…

01:25

Problem 65 Hard Difficulty

Find the escape velocity $ v_0 $ that is needed to propel a rocket of mass $ m $ out of the gravitational field of a planet with mass $ M $ and radius $ R $. Use Newton's Law of Gravitation (see Exercise 6.4.33) and the fact that the initial kinetic energy of $ \frac{1}{2} mv^2_0 $ supplies the needed work.

Name: find the escape velocity v_0 that is needed to propel a rocket of mass m out of the gravitational fi
Uploaded: 2018-03-19
Duration: 2 min 21 s
Channel: Numerade
Description: Find the escape velocity $ v_0 $ that is needed to propel a rocket of mass $ m $ out of the gravitational field of a planet with mass $ M $ and radius $ R $. Use Newton's Law of Gravitation (see Exercise 6.4.33) and the fact that the initial kinetic energy of $ \frac{1}{2} mv^2_0 $ supplies the needed work.

Answer

$v_{0}=\sqrt{\frac{2 G M}{R}}$

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Video Transcript

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Wen Z.

Related Courses

Calculus 2 / BC

Calculus: Early Transcendentals

Chapter 7

Techniques of Integration

Section 8

Improper Integrals

Problem

Astronomers use a technique called stellar stereo…

Problem 65 Hard Difficulty

Answer

$v_{0}=\sqrt{\frac{2 G M}{R}}$

Related Courses

Calculus: Early Transcendentals

Related Topics

Discussion

Top Calculus 2 / BC Educators

Catherine R.

Anna Marie V.

Samuel H.

Michael J.

Calculus 2 / BC Courses

Integration Review - Intro

Definite vs Indefinite

Recommended Videos

Watch More Solved Questions in Chapter 7

Video Transcript

Calculus: Early Transcendentals

Catherine R.

Anna Marie V.

Samuel H.

Michael J.

Integration Review - Intro

Definite vs Indefinite