Linear Momentum

.obsidian/workspace.json

@@ -272,9 +272,65 @@
               "icon": "lucide-file",
               "title": "Cellular Energetics"
             }
+          },
+          {
+            "id": "7463e8447b134887",
+            "type": "leaf",
+            "state": {
+              "type": "markdown",
+              "state": {
+                "file": "physics/Linear Momentum/Linear Momentum.md",
+                "mode": "source",
+                "source": false
+              },
+              "icon": "lucide-file",
+              "title": "Linear Momentum"
+            }
+          },
+          {
+            "id": "852d1e534d72faad",
+            "type": "leaf",
+            "state": {
+              "type": "markdown",
+              "state": {
+                "file": "physics/Linear Momentum/Linear Momentum.md",
+                "mode": "source",
+                "source": false
+              },
+              "icon": "lucide-file",
+              "title": "Linear Momentum"
+            }
+          },
+          {
+            "id": "42e14c3b78f024e2",
+            "type": "leaf",
+            "state": {
+              "type": "markdown",
+              "state": {
+                "file": "physics/Linear Momentum/Conservation of Linear Momentum.md",
+                "mode": "source",
+                "source": false
+              },
+              "icon": "lucide-file",
+              "title": "Conservation of Linear Momentum"
+            }
+          },
+          {
+            "id": "7443031d4cceba31",
+            "type": "leaf",
+            "state": {
+              "type": "markdown",
+              "state": {
+                "file": "physics/Linear Momentum/Elastic and Inelastic Collisions.md",
+                "mode": "source",
+                "source": false
+              },
+              "icon": "lucide-file",
+              "title": "Elastic and Inelastic Collisions"
+            }
           }
         ],
-        "currentTab": 18
+        "currentTab": 22
       },
       {
         "id": "25da4f0a48a8e7cd",
@@ -458,13 +514,19 @@
       "obsidian-excalidraw-plugin:New drawing": false
     }
   },
-  "active": "fc95e84dd0f0f1ad",
+  "active": "2a2c61d4f4ddce12",
   "lastOpenFiles": [
+    "physics/Linear Momentum/Elastic and Inelastic Collisions.md",
+    "Assets/Pasted image 20260819112153.png",
+    "root.md",
+    "physics/Linear Momentum/Conservation of Linear Momentum.md",
+    "physics/Linear Momentum/Linear Momentum.md",
+    "physics/Linear Momentum/Change in Linear Momentum and Impulse.md",
+    "physics/Linear Momentum",
+    "biology/Cellular Energetics/Cellular Energetics.md",
     "biology/Biology AP Exam Tips.md",
     "biology/biology.md",
     "biology/cell biology.md",
-    "root.md",
-    "biology/Cellular Energetics/Cellular Energetics.md",
     "biology/Cell Structure and Function/Cell Compartmentalization.md",
     "biology/Cell Structure and Function/Origins of Cell Compartmentalization.md",
     "biology/Cellular Energetics",
@@ -489,22 +551,15 @@
     "biology/Chemistry of Life/Macromolecules.md",
     "biology/Chemistry of Life/Structure of Water and Hydrogen Bonding.md",
     "biology/Chemistry of Life/chemistry of life.md",
-    "biology/Chemistry of Life/Elements of Life.md",
-    "biology/Chemistry of Life/Carbohydrates.md",
-    "chemistry/Matter and Chemical Bonding.md",
-    "physics/Work Energy and Power/Work Energy and Power.md",
-    "literacy/buzzwords.md",
     "Assets/Pasted image 20260816081041.png",
     "physics/Work Energy and Power",
     "Assets/Pasted image 20260816073410.png",
-    "Assets/Pasted image 20260813174636.png",
     "biology/Cell Structure and Function",
     "physics/Force and Translational Dynamics",
     "biology/Chemistry of Life",
     "Assets",
     "literacy",
     "Recording 20260716183349.m4a",
-    "Recording 20260716183320.m4a",
+    "Recording 20260716183320.m4a"
-    "biology"
   ]
 }

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
+

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.
+

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
+$$\frac{1}{2}m_1v^2_{1i}+\frac{1}{2}m_2v^2_{2i}=\frac{1}{2}m_1v^2_{1f}+\frac{1}{2}m_2v^2_{2f}$$
+

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
+