(B3) Momentum PLCNN A confused 66 kg bowler on ice skates is coasting forwards with speed 20 m/s when he catches a 6.3 kg bowling ball moving 5 m/s in the opposite direction as he. What is the bowler's speed immediately after making the catch? 26. A A. 14.85 m/s D. 17.22_m/s B. 17.82 m/s E. 16.33_m/s C. 15.58 m/s F. 18.55 m/s 1--1 ΝΑΤΑΙ Alex bounced a 0.59 kg rubber ball off the floor. The ball's speed just before impacting the floor was 10 m/s, and the speed just after the impact was 3.8 m/s. What impulse I, was applied to the ball by the floor? If the ball was in contact with the floor for 0.05_s, what was the magnitude of the average force applied by the floor on the ball? (Assume "up" is the positive direction.) 27. Impulse A. 15.39 kg-m/s D. 8.98 kg-m/s E. 15.67 kg-m/s 14.95 kg-m/s DPig show.jpeg RA.jpeg B. DPigshow.jpeg A MacBook Pro

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### Momentum (B3)

#### Problem 1:
A confused 66.0 kg bowler on ice skates is coasting forwards with a speed of 2.0 m/s when he catches a 6.3 kg bowling ball moving 5 m/s in the opposite direction. What is the bowler's speed immediately after making the catch?

**Options:**
A. 14.85 m/s  
B. 17.82 m/s  
C. 15.58 m/s  

#### Problem 2:
Alex bounced a 0.55 kg rubber ball off the floor. The ball's speed just before impacting the floor was 10 m/s, and the speed just after the impact was 3.8 m/s. If the ball was in contact with the floor for 0.05 s, what impulse (J) was applied to the ball by the floor (Assume up is the positive direction)?

27. **Impulse**
A. 15.39 kg·m/s  
B. 14.95 kg·m/s  

#### Problem 3:
What was the magnitude of the average force (F_avg) applied by the floor on the ball?

A. 17.22 m/s  
B. 163.3 m/s  
C. 18.55 m/s  

**Explanation:**

1. **Problem 1:**
   - The initial momentum of the system (bowler and bowling ball) is calculated by combining the momentum of the bowler and the bowling ball. We use the conservation of momentum principle to find the final velocity after the catch.

2. **Problem 2:**
   - The impulse applied to the ball by the floor is calculated using the change in momentum of the ball. This is derived from the change in the ball’s velocity before and after impact, multiplied by the ball’s mass.

3. **Problem 3:**
   - The magnitude of the average force is calculated using the impulse and the time duration of the contact between the ball and the floor. The formula connecting impulse and force is used here.

These problems require an understanding of the principles of momentum, impulse, and the application of Newton's laws of motion.
Transcribed Image Text:### Momentum (B3) #### Problem 1: A confused 66.0 kg bowler on ice skates is coasting forwards with a speed of 2.0 m/s when he catches a 6.3 kg bowling ball moving 5 m/s in the opposite direction. What is the bowler's speed immediately after making the catch? **Options:** A. 14.85 m/s B. 17.82 m/s C. 15.58 m/s #### Problem 2: Alex bounced a 0.55 kg rubber ball off the floor. The ball's speed just before impacting the floor was 10 m/s, and the speed just after the impact was 3.8 m/s. If the ball was in contact with the floor for 0.05 s, what impulse (J) was applied to the ball by the floor (Assume up is the positive direction)? 27. **Impulse** A. 15.39 kg·m/s B. 14.95 kg·m/s #### Problem 3: What was the magnitude of the average force (F_avg) applied by the floor on the ball? A. 17.22 m/s B. 163.3 m/s C. 18.55 m/s **Explanation:** 1. **Problem 1:** - The initial momentum of the system (bowler and bowling ball) is calculated by combining the momentum of the bowler and the bowling ball. We use the conservation of momentum principle to find the final velocity after the catch. 2. **Problem 2:** - The impulse applied to the ball by the floor is calculated using the change in momentum of the ball. This is derived from the change in the ball’s velocity before and after impact, multiplied by the ball’s mass. 3. **Problem 3:** - The magnitude of the average force is calculated using the impulse and the time duration of the contact between the ball and the floor. The formula connecting impulse and force is used here. These problems require an understanding of the principles of momentum, impulse, and the application of Newton's laws of motion.
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