- Data Structure
- Networking
- RDBMS
- Operating System
- Java
- MS Excel
- iOS
- HTML
- CSS
- Android
- Python
- C Programming
- C++
- C#
- MongoDB
- MySQL
- Javascript
- PHP
- Physics
- Chemistry
- Biology
- Mathematics
- English
- Economics
- Psychology
- Social Studies
- Fashion Studies
- Legal Studies
- Selected Reading
- UPSC IAS Exams Notes
- Developer's Best Practices
- Questions and Answers
- Effective Resume Writing
- HR Interview Questions
- Computer Glossary
- Who is Who
How does the force of gravitation between two objects change when the distance between them is reduced to half ?
Given:
Two objects are at a certain distance between them.
To do:
To find out how the force of gravitation between two objects changes when the distance between them is reduced to half.
Solution:
To determine the force of gravitation between the two objects, let us know the formula used for force of gravitation first:
Formula for the force of gravitation:
Gravitational force $\boxed{F=G\frac{m_1m_2}{r^2}}$
Here, $m_1\rightarrow$ mass of first object
$m_2\rightarrow$ mass of the second object
$r\rightarrow$distance between the two object
$G\rightarrow$ A gravitational constant
When the distance between the two objects is halved
When the distance between the two objects is reduced to half,
then the distance between the objects $r'=\frac{r}{2}$
Then, gravitational force, $F'=G\frac{m_1m_2}{(r')^2}$
Or $F'=G\frac{m_1m_2}{(\frac{r}{2})^2}$
Or $F'=4\times G\frac{m_1m_2}{r^2}$
Or $F'=4F$
Thus, if the distance between the two objects is halved, the
gravitational force becomes four times.