Courses
Courses for Kids
Free study material
Offline Centres
More
Store

# State universal law of gravitation and derive the expression for force between two objects of mass ${m_1}$ and ${m_2}$ separated by distance ‘$d$’.

Last updated date: 15th Aug 2024
Total views: 420k
Views today: 12.20k
Verified
420k+ views
Hint: Universal law of gravitation was proposed by newton.
It gives the gravitational force between two point masses.

According to Newton’s Universal law of gravitation:
Every particle of matter in the universe attracts every other particle with a force which is directly proportional to the product of masses of particles and inversely proportional to the square of the distance between them.

If ${m_1}$and ${m_2}$are two point masses separated by a distance $d$, the gravitational force of attraction $F$ is given by :
$F \propto {m_1}{m_2} \\ F \propto \dfrac{1}{{{d^2}}} \\$
Combining the above two equations we get :
$F \propto \dfrac{{{m_1}{m_2}}}{{{d^2}}} \\ F = G\dfrac{{{m_1}{m_2}}}{{{d^2}}} \\$
Where $G$ is called Universal Gravitational Constant. The value of $G$ is :
$G = 6.67 \times {10^{ - 11}}N{m^2}k{g^{ - 2}}$