## Gravitational force (mass, distance)

` $$ F_{\text g} ~=~ G \, \frac{\class{brown}{m_1} \, \class{brown}{m_2}}{r^2} $$ `

Here you will learn the laws of **motion of bodies** (e.g. particles, cars, planets) under the influence of **mechanical forces**. Master the power to predict the future location and state of these bodies - whether the body is particle-like or wave-like.

` $$ F_{\text g} ~=~ G \, \frac{\class{brown}{m_1} \, \class{brown}{m_2}}{r^2} $$ `

` $$ s ~=~ \frac{1}{2} \, a \, t^2 $$ `

` $$ f ~=~ f_{\text s} \, \left( \frac{c ~\pm~ v}{c ~\mp~ v_{\text s}} \right) $$ `

Learn how constructive and destructive interference results from the path difference and how to mathematically add two sine waves.

` $$ F = m\,a $$ `

` $$ p ~=~ m \, v $$ `

` $$ F_1 \, l_1 ~=~ F_2 \, l_2 $$ `

` $$ W_{\text{kin}} ~=~ \frac{1}{2} \, m \, v^2 $$ `

` $$ W_{\text{pot}} ~=~ m \, g \, h $$ `

` $$ W_{\text{rot}} ~=~ \frac{1}{2} \, \class{brown}{I} \, \class{red}{\omega}^2 $$ `