Linear Momentum

2026-08-19 11:36:28 -04:00
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+[[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
+$$\frac{1}{2}m_1v^2_{1i}+\frac{1}{2}m_2v^2_{2i}=\frac{1}{2}m_1v^2_{1f}+\frac{1}{2}m_2v^2_{2f}$$
+