) The magnitude of the object's momenta are equal but their directions are opposite. The magnitude of object A's momentum is greater than object B's momen The magnitude of the objects' momenta and direction are equal. The magnitude of object A's momentum is less than objectB's momentum

College Physics
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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**Question:**

Object A, with a mass of 5 kg, is moving at a velocity of 3 m/s while Object B, with a mass of 3 kg, is moving at a velocity of -5 m/s. Based on the calculations of their momenta, which of the following statements is correct?

- The magnitude of the object's momenta are equal but their directions are opposite.

- The magnitude of object A's momentum is greater than object B's momentum.

- The magnitude of the objects' momenta and direction are equal.

- The magnitude of object A's momentum is less than object B's momentum.

**Explanation:**

To determine which statement is correct, we need to calculate the momentum of both objects:

1. **Momentum formula:** 
   \[
   \text{Momentum} = \text{mass} \times \text{velocity}
   \]

2. **Calculate momentum for Object A:**
   \[
   \text{Momentum of A} = 5 \, \text{kg} \times 3 \, \text{m/s} = 15 \, \text{kg m/s}
   \]

3. **Calculate momentum for Object B:**
   \[
   \text{Momentum of B} = 3 \, \text{kg} \times (-5 \, \text{m/s}) = -15 \, \text{kg m/s}
   \]

**Conclusion:**

The magnitude of both objects' momenta is equal; however, the directions are opposite because Object B's velocity is negative. Therefore, the correct statement is:

- The magnitude of the object's momenta are equal but their directions are opposite.
Transcribed Image Text:**Question:** Object A, with a mass of 5 kg, is moving at a velocity of 3 m/s while Object B, with a mass of 3 kg, is moving at a velocity of -5 m/s. Based on the calculations of their momenta, which of the following statements is correct? - The magnitude of the object's momenta are equal but their directions are opposite. - The magnitude of object A's momentum is greater than object B's momentum. - The magnitude of the objects' momenta and direction are equal. - The magnitude of object A's momentum is less than object B's momentum. **Explanation:** To determine which statement is correct, we need to calculate the momentum of both objects: 1. **Momentum formula:** \[ \text{Momentum} = \text{mass} \times \text{velocity} \] 2. **Calculate momentum for Object A:** \[ \text{Momentum of A} = 5 \, \text{kg} \times 3 \, \text{m/s} = 15 \, \text{kg m/s} \] 3. **Calculate momentum for Object B:** \[ \text{Momentum of B} = 3 \, \text{kg} \times (-5 \, \text{m/s}) = -15 \, \text{kg m/s} \] **Conclusion:** The magnitude of both objects' momenta is equal; however, the directions are opposite because Object B's velocity is negative. Therefore, the correct statement is: - The magnitude of the object's momenta are equal but their directions are opposite.
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