Problem

Astronomers use a technique called stellar stereo…

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.

Answer

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

Topics

Integration Techniques

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 7

Techniques of Integration

Section 8

Improper Integrals

Discussion

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Video Transcript

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WZ

Wen Z.

Topics

Integration Techniques

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 7

Techniques of Integration

Section 8

Improper Integrals

Top Calculus 2 / BC Educators

Grace H.

Numerade Educator

Anna Marie V.

Campbell University

Heather Z.

Oregon State University

Kayleah T.

Harvey Mudd College