Back to Prexms
7011494251 support@prexms.com
Account
Account
Back
Formulas

Newton's Law of Universal Gravitation

Attractive force between two masses is proportional to product of masses and inversely proportional to square of distance.

Physics
Subject
Classical Mechanics
Sub Subject
Gravitation
Chapter
Universal Gravitation
Topic

Newton's Law of Universal Gravitation

📊 intermediate
$$F = G\frac{m_1 m_2}{r^2}$$
Attractive force between two masses is proportional to product of masses and inversely proportional to square of distance.
Variables & Units
$F$
Gravitational force
Unit: $\text{N}$
$G$
Gravitational constant
Unit: $\text{N·m}^2/\text{kg}^2$
$m_1, m_2$
Masses
Unit: $\text{kg}$
$r$
Distance between centers
Unit: $\text{m}$
Key Information
📐 Derived From
Kepler's laws and empirical observation
💡 Example
Earth ($5.97\times10^{24}\,\text{kg}$) and Moon ($7.35\times10^{22}\,\text{kg}$) separated by $3.84\times10^8\,\text{m}$: $$F = 6.67\times10^{-11}\frac{(5.97\times10^{24})(7.35\times10^{22})}{(3.84\times10^8)^2} \approx 1.98\times10^{20}\,\text{N}$$
🔧 Applications
Orbital mechanics, satellite trajectories, tidal predictions
⚠️ Constraints
Valid for point masses or spherical distributions

Ready to start your journey?

Talk to an expert counsellor – absolutely free. We'll help you choose the right program.

Contact Us
Get In Touch

We're Here to Help You

Have questions about programs? Need guidance on which course fits you? Our team responds fast.

Talk to an Expert

Our counsellors help you pick the right program for your exam goal and timeline — completely free of charge.

Our Office

JMD Megapolis, Badshahpur Sohna Rd Hwy, Sector 48, Gurugram

Email Us

support@prexms.com

Call / WhatsApp

7011494251
🕐 Office Hours
Monday – Saturday 10 AM – 6 PM Open
Sunday Closed
📍 Walk in for free counselling — no appointment needed

Send a Message