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

Assume that the core of the Sun has one-eighth of the Sun’s mass and is compressed within a sphere whose radius is one-fourth of the solar radius. Assume further that the composition of the core is 35% hydrogen by mass and that essentially all the Sun’s energy is generated there. If the Sun continues to burn hydrogen at the current rate of $6.2 \times 10^{11} k g / s$ , how long will it be before the hydrogen is entirely consumed? The Sun’s mass is $2.0 \times 10^{30} k g$ .

The required time is $5 \times 10^{9} y e a r s$ .

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: Describe the expression for the time needed for hydrogen to burn

The expression for the time needed for hydrogen to burn is given by,

$t = \frac{m}{\frac{d m}{d t}} . . . . . . . (1)$

Step 2: Find the need for hydrogen to burn

Substitute all the known values in equation (1).

$t = \frac{(0.35) (\frac{1}{8}) (2 \times 10^{30} k g)}{(6.2 \times 10^{11} k g / s) (365) (24 \times 60 \times 60)} = 5 \times 10^{9} y e a r s$

Therefore, the required time is $5 \times 10^{9} y e a r s$ .

Find Study Materials for

Create Study Materials

Select your language

Fundamentals Of Physics

Answers without the blur.

Short Answer

Step by Step Solution

Step 1: Describe the expression for the time needed for hydrogen to burn

Step 2: Find the need for hydrogen to burn

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

Step by Step Solution

Step 1: Describe the expression for the time needed for hydrogen to burn

Step 2: Find the need for hydrogen to burn

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