Figure 1: A massmcollides collides with a mass 2mthat is initially at rest. The velocity magnitudesand directions of the first mass before and after the collision are shown in the figure. 1. Figure 1 shows a collision between two particles. What is the x component of the total momentum before the collision? 2. What is the y component of the total momentum of the system shown in Fig. 1 before the collision?

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Figure 1: A massmcollides collides with a mass 2mthat is initially at rest. The velocity magnitudesand directions of the first mass before and after the collision are shown in the figure.

1. Figure 1 shows a collision between two particles. What is the x component of the total momentum before the collision?

2. What is the y component of the total momentum of the system shown in Fig. 1 before the collision?

3. What is the x component of the total momentum of the system shown in Fig. 1 after the collision?

4. What is must be the x component of the final velocity of the larger mass in order for your answer to question 3 to hold?

5. What is the y component of the total momentum of the system shown in Fig. 1 after the collision?

6. What is must be the y component of the final velocity of the larger mass in order for your answer to question 5 to hold?

7. Use your answers to the previous questions to find the magnitude and direction of the final velocity of the larger mass in Fig. 1

8. Is the collision in Fig. 1 collision elastic? Show why or why not.

The image illustrates a physics problem involving a collision scenario and is divided into two main parts: "Before" and "After."

**Before:**
- A small object with mass \( m \) is moving horizontally to the right with a velocity of \( 485 \, \text{m/s} \).
- The small object is approaching a larger object with mass \( 2m \), which is initially stationary.

**After:**
- Following the collision, the object with mass \( m \) moves at an angle of 30.0° above the horizontal and has a velocity of \( 324 \, \text{m/s} \).
- The larger object, with mass \( 2m \), moves to the right with an unknown final velocity denoted as \( v_{2f} \).

This setup is typically used to explore the principles of conservation of momentum and energy in two-dimensional collisions.
Transcribed Image Text:The image illustrates a physics problem involving a collision scenario and is divided into two main parts: "Before" and "After." **Before:** - A small object with mass \( m \) is moving horizontally to the right with a velocity of \( 485 \, \text{m/s} \). - The small object is approaching a larger object with mass \( 2m \), which is initially stationary. **After:** - Following the collision, the object with mass \( m \) moves at an angle of 30.0° above the horizontal and has a velocity of \( 324 \, \text{m/s} \). - The larger object, with mass \( 2m \), moves to the right with an unknown final velocity denoted as \( v_{2f} \). This setup is typically used to explore the principles of conservation of momentum and energy in two-dimensional collisions.
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