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Chapter 13: 101P (page 385)

A spaceship is on a straight-line path between Earth and the Moon. At whatdistance from Earth is the net gravitational force on the spaceship zero?

Short Answer

Expert verified

Net gravitational force on the spaceship is zero at a distance of3.44脳108m from the earth.

Step by step solution

01

Listing the given quantities

The distance between the Earth and the Moon is REarth=3.82脳108m.

02

Understanding the concept of gravitational force

Let the distance from Earth to the spaceship be r.

Formula:

fE=GMemRem-r2=GMemr2

where m is the mass of the spaceship.

03

Explanation

Solving for r, we obtain

r=RemM/Me+1=3.82脳108m7.36脳1022kg/5.98脳1024kg+1=3.44脳108m

The net gravitational force on the spaceship is zero at a distance of3.44脳108m from the earth.

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