This animation works through a series of momentum problems, starting with a 7.0 kg body exploding into two fragments and generalizing to an algebraic mass split. It then extends to two-dimensional collisions, showing how a moving body striking a stationary one splits into two paths at given angles. Each case applies conservation of momentum along perpendicular axes, helping students practice setting up and solving vector momentum equations for explosions and oblique collisions.
Narrated · 16:9 · Preview before teaching · automatic layout checks do not establish subject accuracy
Scene 10: Exercise (c)On-Screen Title: Exercise (c): Explosion of a $7.0\text{ kg}$ BodyQuestion: A stationary body of mass $7.0\text{ kg}$ breaks into body A ($4.0\text{ kg}$) and body B ($3.0\text{ kg}$). If body A moves left at $9.0\text{ m/s}$ after collision, find body B's velocity and direction after collision. Answer:$0 = (4.0)(-9.0) + (3.0)v_{Bf}$ $3 v_{Bf} = 36 \implies v_{Bf} = \mathbf{+12\text{ m/s}}$ Direction: Right. Scene 11: Exercise (d)On-Screen Title: Exercise (d): Decay of Mass $m$Question: A stationary body of mass $m$ breaks into body A and body B. If body A of mass $\frac{3}{2}m$ moves in the positive direction with velocity $V$, find body B's velocity and direction after collision. Answer:$0 = \left(\frac{3}{2}m\right)(V) + m_B v_{Bf}$ $v_{Bf} = \mathbf{-\frac{3Vm}{2m_B}}$ (Direction is negative/opposite). Scene 12: Exercise (e)On-Screen Title: Exercise (e): Asymmetric 2D Collision ($60^\circ$ and $30^\circ$)Question: On a smooth surface, body A ($0.20\text{ kg}$) moving at $2.0\text{ m/s}$ collides with stationary body B ($0.60\text{ kg}$). After collision, A deflects $60^\circ$ above the horizontal and B deflects $30^\circ$ below. Find the final velocities of A and B. Answer:$v_{Af} = \mathbf{1.0\text{ m/s}}$ $v_{Bf} = \mathbf{0.58\text{ m/s}}$ ($\frac{\sqrt{3}}{3}$) Scene 13: Exercise (f)On-Screen Title: Exercise (f): Mass Split with Vertical DeflectionQuestion: On a smooth surface, a body ($5.0\text{ kg}$) moving at $2.0\text{ m/s}$ splits into body A ($4.0\text{ kg}$) and body B ($1.0\text{ kg}$). After collision, A deflects $60^\circ$ above horizontal and B moves directly downwards. Find the velocities of A and B after split. Answer:$v_{Af} = \mathbf{5.0\text{ m/s}}$ $v_{Bf} = \mathbf{17.32\text{ m/s}}$ ($10\sqrt{3}$) IMPORTANT LANGUAGE RULE: All on-screen text must be in Arabic EXCEPT mathematical equations, formulas, laws, symbols, variables, and numerical expressions. Keep every equation, formula, and law exactly as provided, without translating or changing it. Translate only the explanatory text, headings, labels, and descriptions into Arabic. Arabic text must use proper RTL direction and correct Arabic typography. Do not use English text anywhere else on the screen. Audience: student