Try the fastest way to create flashcards
Question

What is the size of the gravitational force acting on the sun due to the earth?

Solution

Verified
Answered 1 year ago
Answered 1 year ago
Step 1
1 of 2

To calculate the size of the gravitational force acting on the sun due to the earth we can use Newton's law of gravitation:

F=GMmR2,(1)F=G \frac{Mm}{R^2}, \tag{1}

With masses M=1.989×1030 kgM=1.989\times 10^{30} \ \mathrm{kg} for the Sun, and m=5.972×1024 kgm=5.972\times 10^{24}\ \mathrm{kg} for the Earth at a distance of 150×109150\times 10^9 m, we can calculate the force:

F=6.674×10111.9895.972×10541502×1018=3.523×1022 N.\begin{align*} F&=6.674\times 10^{-11} \cdot \frac{1.989\cdot 5.972\times 10^{54} }{150^2\times 10^{18} }\\ &= \boxed{ 3.523 \times 10^{22} \ \mathrm{N}.} \end{align*}

Create a free account to view solutions

Create a free account to view solutions

Recommended textbook solutions

Physics for Scientists and Engineers: A Strategic Approach with Modern Physics 4th Edition by Randall D. Knight

Physics for Scientists and Engineers: A Strategic Approach with Modern Physics

4th EditionISBN: 9780133942651 (8 more)Randall D. Knight
3,508 solutions
Mathematical Methods in the Physical Sciences 3rd Edition by Mary L. Boas

Mathematical Methods in the Physical Sciences

3rd EditionISBN: 9780471198260 (1 more)Mary L. Boas
3,355 solutions
Introduction to Quantum Mechanics 3rd Edition by Darrell F. Schroeter, David J. Griffiths

Introduction to Quantum Mechanics

3rd EditionISBN: 9781107189638Darrell F. Schroeter, David J. Griffiths
485 solutions
Fundamentals of Physics 10th Edition by David Halliday, Jearl Walker, Robert Resnick

Fundamentals of Physics

10th EditionISBN: 9781118230718 (3 more)David Halliday, Jearl Walker, Robert Resnick
8,971 solutions

More related questions

1/4

1/7