51. Which of these situations provide the same change in momentum? situation 1 5.0 kg object moving at 5.0 meters/second situation 2 2.0 kg object moving at 12.0 meters/second situation 3 2.5 kg object moving at 10.0 meters/second situation 4 5.0 kg object moving at 10.0 meters/second A situation 1 and situation 4 situation 2 and situation 3 situation 2 and situation 4 D. situation 3 and situation 4 Page 17 / 19 ·Q + -

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51. Which of these situations provide the same change in momentum?
situation 1 5.0 kg object moving at 5.0 meters/second
situation 2 2.0 kg object moving at 12.0 meters/second
situation 3 2.5 kg object moving at 10.0 meters/second
situation 4 5.0 kg object moving at 10.0 meters/second
A. situation 1 and situation 4
B. situation 2 and situation 3
C. situation 2 and situation 4
D. situation 3 and situation 4

**Question 51: Momentum Comparison**

Which of these situations provide the same change in momentum?

1. Situation 1: 5.0 kg object moving at 5.0 meters/second
2. Situation 2: 2.0 kg object moving at 12.0 meters/second
3. Situation 3: 2.5 kg object moving at 10.0 meters/second
4. Situation 4: 5.0 kg object moving at 10.0 meters/second

**Options:**

- A. Situation 1 and Situation 4
- B. Situation 2 and Situation 3
- C. Situation 2 and Situation 4
- D. Situation 3 and Situation 4

**Explanation:**

To determine which situations provide the same momentum, calculate the momentum for each one using the formula:  
\[ \text{Momentum} = \text{mass} \times \text{velocity} \]

- **Situation 1:** \(5.0 \, \text{kg} \times 5.0 \, \text{m/s} = 25 \, \text{kg m/s}\)
- **Situation 2:** \(2.0 \, \text{kg} \times 12.0 \, \text{m/s} = 24 \, \text{kg m/s}\)
- **Situation 3:** \(2.5 \, \text{kg} \times 10.0 \, \text{m/s} = 25 \, \text{kg m/s}\)
- **Situation 4:** \(5.0 \, \text{kg} \times 10.0 \, \text{m/s} = 50 \, \text{kg m/s}\) 

From these calculations, Situations 1 and 3 have the same momentum. Therefore, the answer is not correctly listed. There is no correct answer matching Situations 1 and 3.

**Note for Educators:**
Instruct students to verify the calculations and understand the concept of momentum as the product of mass and velocity.
Transcribed Image Text:**Question 51: Momentum Comparison** Which of these situations provide the same change in momentum? 1. Situation 1: 5.0 kg object moving at 5.0 meters/second 2. Situation 2: 2.0 kg object moving at 12.0 meters/second 3. Situation 3: 2.5 kg object moving at 10.0 meters/second 4. Situation 4: 5.0 kg object moving at 10.0 meters/second **Options:** - A. Situation 1 and Situation 4 - B. Situation 2 and Situation 3 - C. Situation 2 and Situation 4 - D. Situation 3 and Situation 4 **Explanation:** To determine which situations provide the same momentum, calculate the momentum for each one using the formula: \[ \text{Momentum} = \text{mass} \times \text{velocity} \] - **Situation 1:** \(5.0 \, \text{kg} \times 5.0 \, \text{m/s} = 25 \, \text{kg m/s}\) - **Situation 2:** \(2.0 \, \text{kg} \times 12.0 \, \text{m/s} = 24 \, \text{kg m/s}\) - **Situation 3:** \(2.5 \, \text{kg} \times 10.0 \, \text{m/s} = 25 \, \text{kg m/s}\) - **Situation 4:** \(5.0 \, \text{kg} \times 10.0 \, \text{m/s} = 50 \, \text{kg m/s}\) From these calculations, Situations 1 and 3 have the same momentum. Therefore, the answer is not correctly listed. There is no correct answer matching Situations 1 and 3. **Note for Educators:** Instruct students to verify the calculations and understand the concept of momentum as the product of mass and velocity.
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