Universal Law of Gravitation

Definition

The Universal Law of Gravitation, formulated by Sir Isaac Newton, states that every mass attracts every other mass in the universe. The force of attraction is directly proportional to the product of their masses and inversely proportional to the square of the distance between them.

Mathematical Expression

The formula is given by:

$F=G\frac{m_1\cdot m_2}{r^2}F\; =\; G\; \backslash frac\{\{m\_1\; \backslash cdot\; m\_2\}\}\{\{r^2\}\}$

F=Gr2m1​⋅m2​​

Where:

• 
  $FF$ 

  F = gravitational force between the two masses

• 
  $GG$ 

  G = gravitational constant

• 
  $m_{1}m\_1$ 

  m1​ and $m_{2}m\_2$ 

  m2​ = masses of the objects

• 
  $rr$ 

  r = distance between the centers of the two masses

Examples

• Earth and Moon: The Earth attracts the Moon, keeping it in orbit.
• Falling Objects: When you drop an object, it falls to the ground due to Earth’s gravitational pull.

Conclusion

This law explains the motion of celestial bodies and is fundamental to our understanding of gravity.