Book edition 10th Edition

Author(s) David Halliday

Pages 1328 pages

ISBN 9781118230718

Answers without the blur.

Just sign up for free and you're in.

Short Answer

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

Net gravitational force on the spaceship is zero at a distance of $3.44 \times 10^{8} m$ from the earth.

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: Listing the given quantities

The distance between the Earth and the Moon is $R_{Earth} = 3.82 \times 10^{8} m$ .

Step 2: Understanding the concept of gravitational force

Let the distance from Earth to the spaceship be r.

Formula:

$\begin{array}{rcl} f_{E} & = & \frac{{GM}_{e} m}{{(R_{em} - r)}^{2}} \\ = & \frac{{GM}_{e} m}{r^{2}} \end{array}$

where m is the mass of the spaceship.

Step 3: Explanation

Solving for r, we obtain

$\begin{array}{rcl} r & = & \frac{R_{em}}{\sqrt{M / M_{e}} + 1} \\ = & \frac{3.82 \times 10^{8} m}{\sqrt{(7.36 \times 10^{22} kg / (5.98 \times 10^{24}) kg)} + 1} \\ = & 3.44 \times 10^{8} m \end{array}$

The net gravitational force on the spaceship is zero at a distance of $3.44 \times 10^{8} m$ from the earth.

Find Study Materials for

Create Study Materials

Select your language

Fundamentals Of Physics

Answers without the blur.

Short Answer

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

Step by Step Solution

Step 1: Listing the given quantities

Step 2: Understanding the concept of gravitational force

Step 3: Explanation

Most popular questions for Physics Textbooks

Want to see more solutions like these?

Recommended explanations on Physics Textbooks

Select your language

Fundamentals Of Physics

Answers without the blur.

Short Answer

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

Step by Step Solution

Step 1: Listing the given quantities

Step 2: Understanding the concept of gravitational force

Step 3: Explanation

Most popular questions for Physics Textbooks

Want to see more solutions like these?

Recommended explanations on Physics Textbooks

Work Energy and Power

Radiation

Astrophysics

Physics of Motion

Scientific Method Physics

Fluids

Torque and Rotational Motion

Nuclear Physics

Fields in Physics

Measurements

Space Physics

Electricity

Physical Quantities and Units

Medical Physics

Electrostatics

Further Mechanics and Thermal Physics

Mechanics and Materials

Engineering Physics

Energy Physics

Force

Particle Model of Matter

Waves Physics

Magnetism

Modern Physics

Atoms and Radioactivity

Dynamics

Electricity and Magnetism

Conservation of Energy and Momentum

Fundamentals of Physics

Kinematics Physics

Circular Motion and Gravitation

Linear Momentum

Rotational Dynamics

Oscillations

Translational Dynamics

Geometrical and Physical Optics

Thermodynamics

Magnetism and Electromagnetic Induction

Electromagnetism

Electric Charge Field and Potential

Turning Points in Physics