2. (MOMENTUM AND IMPULSE) In Cases A and B illustrated below, identical balls collide with a wall. In Case A, the ball strikes the wall head-on and bounces straight back, whereas in Case B, the ball hits the wall at an angle. In both cases, the initial speed v; and final speed Uf of the ball are the same. Additionally, the ball in Case A has the same speed as the ball in Case B. Case A Vi Uf Case B Uf Vi Is the magnitude of the impulse delivered to the ball by the wall larger in Case A, larger in Case B, or the same in both? Explain clearly. (You can ignore gravity during the interaction.)

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**2. (MOMENTUM AND IMPULSE)**

In Cases A and B illustrated below, identical balls collide with a wall. In Case A, the ball strikes the wall head-on and bounces straight back, whereas in Case B, the ball hits the wall at an angle. In both cases, the initial speed \( v_i \) and final speed \( v_f \) of the ball are the same. Additionally, the ball in Case A has the same speed as the ball in Case B.

**Case A:**

- Diagram shows a ball moving toward a wall with an initial velocity vector \( \vec{v_i} \) perpendicular to the wall and bouncing back with a final velocity vector \( \vec{v_f} \) in the opposite direction but along the same line.

**Case B:**

- Diagram shows a ball approaching the wall with an initial velocity vector \( \vec{v_i} \) at an angle \( \theta \) to the normal of the wall, and bouncing off at the same angle \( \theta \) with a final velocity vector \( \vec{v_f} \).

*Question:*  
Is the **magnitude of the impulse** delivered to the ball by the wall larger in Case A, larger in Case B, or the same in both? Explain clearly. (You can ignore gravity during the interaction.)
Transcribed Image Text:**2. (MOMENTUM AND IMPULSE)** In Cases A and B illustrated below, identical balls collide with a wall. In Case A, the ball strikes the wall head-on and bounces straight back, whereas in Case B, the ball hits the wall at an angle. In both cases, the initial speed \( v_i \) and final speed \( v_f \) of the ball are the same. Additionally, the ball in Case A has the same speed as the ball in Case B. **Case A:** - Diagram shows a ball moving toward a wall with an initial velocity vector \( \vec{v_i} \) perpendicular to the wall and bouncing back with a final velocity vector \( \vec{v_f} \) in the opposite direction but along the same line. **Case B:** - Diagram shows a ball approaching the wall with an initial velocity vector \( \vec{v_i} \) at an angle \( \theta \) to the normal of the wall, and bouncing off at the same angle \( \theta \) with a final velocity vector \( \vec{v_f} \). *Question:* Is the **magnitude of the impulse** delivered to the ball by the wall larger in Case A, larger in Case B, or the same in both? Explain clearly. (You can ignore gravity during the interaction.)
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