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Momentum/Change in Linear Momentum and Impulse.md b/physics/Linear Momentum/Change in Linear Momentum and Impulse.md new file mode 100644 index 0000000..0234c28 --- /dev/null +++ b/physics/Linear Momentum/Change in Linear Momentum and Impulse.md @@ -0,0 +1,10 @@ +[[Linear Momentum]] + +# Summary +* Net force equals $\vec F_{net}=\frac{\Delta \vec p}{\Delta t}$ +* Impulse is average force over time interval: $\vec J = \vec F_{avg}\Delta t$ +* Impulse-momentum theory is impulse = change in momentum: $$\vec J=\Delta \vec p = \vec p-\vec p_0$$ +* Integral of a force vs time graph equals impulse, slope of momentum vs time graph = net force +* Impulse units are N * s (kg * m/s) +* When mass is constant F=ma comes from Impulse-Momentum theory + diff --git a/physics/Linear Momentum/Conservation of Linear Momentum.md b/physics/Linear Momentum/Conservation of Linear Momentum.md new file mode 100644 index 0000000..b4e821c --- /dev/null +++ b/physics/Linear Momentum/Conservation of Linear Momentum.md @@ -0,0 +1,15 @@ +[[Linear Momentum]] + +Total momentum of system stays the same when there is no external force acting on it. + +# Summary +* Total momentum is vector sum +* If net external force is 0, then momentum stays the same. +* Momentum is conserved in every action +* Nonzero net external force transfers momentum in or out of system, which is impulse. +* Center of mass velocity stays constant when no external force. + +# Center of Mass Velocity +$$\vec v_{cm}=\frac{\Sigma \vec p_i}{\Sigma m_i}$$ +Treats whole system like momentum is concentrated in one point. + diff --git a/physics/Linear Momentum/Elastic and Inelastic Collisions.md b/physics/Linear Momentum/Elastic and Inelastic Collisions.md new file mode 100644 index 0000000..ad8c255 --- /dev/null +++ b/physics/Linear Momentum/Elastic and Inelastic Collisions.md @@ -0,0 +1,15 @@ +[[Linear Momentum]] + +# Summary +* Elastic collision: total kinetic energy stays the same +* Inelastic collision: energy is lost to things like heat and sound +* Perfectly inelastic collision: objects stick together and share one velocity +* Momentum is conserved in every collision where net external force is zero +* "Lost" kinetic energy just transforms into different forms, so total energy is preserved. + +Perfectly inelastic collisions: +$$v_f=\frac{m_1v_1+m_2v_2}{m_1m_2}$$ +![[Pasted image 20260819112153.png]] +# Elastic Collision Energy Conservation Formula +$$\frac{1}{2}m_1v^2_{1i}+\frac{1}{2}m_2v^2_{2i}=\frac{1}{2}m_1v^2_{1f}+\frac{1}{2}m_2v^2_{2f}$$ + diff --git a/physics/Linear Momentum/Linear Momentum.md b/physics/Linear Momentum/Linear Momentum.md new file mode 100644 index 0000000..c893f76 --- /dev/null +++ b/physics/Linear Momentum/Linear Momentum.md @@ -0,0 +1,12 @@ +[[physics]] +Linear momentum: $$\vec p=m\vec v$$ +$\vec p$ is momentum in kg * m/s + +# Summary +* Momentum: $\vec p=m\vec v$ +* It's a vector +* Doubling either mass or velocity doubles momentum +* In one dimension, assign positive and negative signs +* Collision is an interaction where forces between objects are much larger than net external force on system +* Explosion is interaction where internal forces push parts of a system apart +