Scene 4: Quick Application - Explosion / Separation in 1DVisual Prompt: Animated 3D model of a stati

Question: User: Scene 4: Quick Application - Explosion / Separation in 1DVisual Prompt: Animated 3D model of a stationary $5.0\text{ kg}$ object. It suddenly splits into two pieces:Piece 1 ($3.0\text{ kg}$) moves East at $+1.0\text{ m/s}$.Piece 2 ($2.0\text{ kg}$) launches West at $-1.5\text{ m/s}$.Math Overlay:$$\Sigma p_i = 0$$$$\Sigma p_f = (3.0 \times +1.0) + (2.0 \times -1.5) = +3.0 - 3.0 = 0\text{ kg}\cdot\text{m/s}$$Voiceover / Text Prompts: "Total momentum before splitting was zero. After splitting, the eastward momentum (+3.0) perfectly cancels the westward momentum (-3.0), proving total momentum is strictly conserved!"Scene 5: Solved Example 1(a) - 1D Inelastic CollisionVisual Prompt: 1D animation along an X-axis. Object A ($1.2\text{ kg}$) moves right at $+3.0\text{ m/s}$. Object B ($2.8\text{ kg}$) moves left at $-2.0\text{ m/s}$. They collide, lock together, and move left as a combined $4.0\text{ kg}$ mass.Math Overlay:$$1.2(3.0) + 2.8(-2.0) = (1.2 + 2.8) v'$$$$3.6 - 5.6 = 4.0 v' \implies -2.0 = 4.0 v' \implies v' = -0.50\text{ m/s}$$Voiceover / Text Prompts: "Assigning the positive direction to the right, the initial negative momentum dominates. After sticking together, both objects move left at $0.50\text{ m/s}$."Scene 6: Solved Example 1(b) - 2D Collision DecompositionVisual Prompt: Top-down 2D grid animation. Object A ($0.20\text{ kg}$) moves right at $2.0\text{ m/s}$ towards stationary Object B ($0.80\text{ kg}$). Upon impact, A bounces vertically along the +Y axis. Object B deflects at an angle of $30^\circ$ below the +X axis.Math Overlay:X-axis: $0.20(2.0) + 0 = 0 + 0.80 v_B' \cos(30^\circ) \implies 0.40 = 0.80 v_B' (0.866) \implies v_B' \approx 0.58\text{ m/s}$Y-axis: $0 = 0.20 v_A' - 0.80 v_B' \sin(30^\circ) \implies 0.20 v_A' = 0.80(0.577)(0.5) \implies v_A' \approx 1.2\text{ m/s}$Voiceover / Text Prompts: "In two-dimensional collisions, conserve momentum independently along orthogonal X and Y axes. Object A moves at $1.2\text{ m/s}$ north, while Object B moves at $0.58\text{ m/s}$ at $30^\circ$ south of east."