\( \sum \boldsymbol{p}_\mathrm{before} = \boldsymbol{p}_\mathrm{1,i} + \boldsymbol{p}_\mathrm{2,i}\)
\(= m_1\boldsymbol{v}_\mathrm{1,i} + m_2\boldsymbol{v}_\mathrm{2,i}\)
\(= \) () ( ) \(+ \) () ( )
\(= \) \( \space + \space \)( )
\(= \) \( \mathrm{kg{\cdot}m{\cdot}s^{-1}} \)
\(= m_1\boldsymbol{v}_\mathrm{1,i} + m_2\boldsymbol{v}_\mathrm{2,i}\)
\(= \) () ( ) \(+ \) () ( )
\(= \) \( \space + \space \)( )
\(= \) \( \mathrm{kg{\cdot}m{\cdot}s^{-1}} \)
\( \sum {E}_\mathrm{k(before)} = {E}_\mathrm{k1,i} + {E}_\mathrm{k2,i}\)
\(= \frac{1}{2} m_1(\boldsymbol{v}_\mathrm{1,i})^2 + \frac{1}{2} m_2(\boldsymbol{v}_\mathrm{2,i})^2 \)
\( \large{=} \space \frac{1}{2}\)() ( )\(^2\)+\( \large{} \frac{1}{2}\)() ( )\(^2\)
\(= \) \(\space + \space \)( )
\(= \) \( \mathrm{J} \)
\(= \frac{1}{2} m_1(\boldsymbol{v}_\mathrm{1,i})^2 + \frac{1}{2} m_2(\boldsymbol{v}_\mathrm{2,i})^2 \)
\( \large{=} \space \frac{1}{2}\)() ( )\(^2\)+\( \large{} \frac{1}{2}\)() ( )\(^2\)
\(= \) \(\space + \space \)( )
\(= \) \( \mathrm{J} \)
\( \sum \boldsymbol{p}_\mathrm{after} = \boldsymbol{p}_\mathrm{1,f} + \boldsymbol{p}_\mathrm{2,f}\)
\(= m_1\boldsymbol{v}_\mathrm{1,f} + m_2\boldsymbol{v}_\mathrm{2,f}\)
\(= \) () ( ) \(+ \) () ( )
\(= \) \(\space + \space \)( )
\(= \) \( \mathrm{kg{\cdot}m{\cdot}s^{-1}} \)
\(= m_1\boldsymbol{v}_\mathrm{1,f} + m_2\boldsymbol{v}_\mathrm{2,f}\)
\(= \) () ( ) \(+ \) () ( )
\(= \) \(\space + \space \)( )
\(= \) \( \mathrm{kg{\cdot}m{\cdot}s^{-1}} \)
\( \sum {E}_\mathrm{k(after)} \space = {E}_\mathrm{k1,f} + {E}_\mathrm{k2,f}\)
\(= \frac{1}{2} m_1(\boldsymbol{v}_\mathrm{1,f})^2 + \frac{1}{2} m_2(\boldsymbol{v}_\mathrm{2,f})^2 \)
\( \large{=} \space \frac{1}{2}\)() ( )\(^2\)+\( \large{} \frac{1}{2}\)() ( )\(^2\)
\(= \) \(\space + \space \)( )
\(= \) \( \mathrm{J} \)
\(= \frac{1}{2} m_1(\boldsymbol{v}_\mathrm{1,f})^2 + \frac{1}{2} m_2(\boldsymbol{v}_\mathrm{2,f})^2 \)
\( \large{=} \space \frac{1}{2}\)() ( )\(^2\)+\( \large{} \frac{1}{2}\)() ( )\(^2\)
\(= \) \(\space + \space \)( )
\(= \) \( \mathrm{J} \)
- Decide whether you want to see an elastic or an inelastic collision. Click your choice.
- Decide in which direction one or both pool balls must travel.
- Use the sliders to set the speed of one of both balls.
- Click GO to start the motion.
- Observe the kinetic energy and momentum of each pool ball before and after the collision. Also note the total kinetic energy and momentum before and after the collision.
- Click RESET to start again.