Let's break down the steps to solve the table for each collision: ## **Step-by-Step Solution** ### **Step 1: Understanding the Problem** - You're given a system involving a gold ball and a blue ball. - For each collision, you need to: 1. Add the **total initial momentum** of both balls. 2. Add the **total final momentum** of both balls. 3. Determine if momentum is conserved (i.e., initial = final). ### **Step 2: Formula for Momentum** - **Momentum (\( p \)) = mass (m) × velocity (v)** - **Total momentum** before and after collision is the sum for both balls. ### **Step 3: Filling the Table** You will need the mass and velocity data for each ball before and after each collision, which is not provided in the image. Normally, you would use: \[ \sum \vec{p}_{\text{initial}} = (m_{\text{gold}} \times v_{\text{gold, initial}}) + (m_{\text{blue}} \times v_{\text{blue, initial}}) \] \[ \sum \vec{p}_{\text{final}} = (m_{\text{gold}} \times v_{\text{gold, final}}) + (m_{\text{blue}} \times v_{\text{blue, final}}) \] ### **Step 4: Is Momentum Conserved?** - **Yes:** If \(\sum \vec{p}_{\text{initial}} = \sum \vec{p}_{\text{final}}\) - **No:** If they are not equal. --- ## **How to Fill the Table (General Steps)** 1. **For each collision:** 1. Calculate total initial momentum. 2. Calculate total final momentum. 3. Compare the two values and answer if momentum is conserved. --- ### **Table (EXAMPLE with Placeholder Values)** | Collision | Total Initial Momentum (\(\sum \vec{p}_{\text{initial}}\)) (kg m/s) | Total Final Momentum (\(\sum \vec{p}_{\text{final}}\)) (kg m/s) | Is Momentum Conserved? | |-----------|---------------------------------------------------|-------------------------------------------------|------------------------| | 1 | 6. | 6. | Yes | | 2 | 4.5 | 4.5 | Yes | | 3 | 5. | 4.8 | No | | 4 | 7.2 | 7.2 | Yes | | 5 | 3.1 | 3.2 | No | > **Note:** Replace these numbers with the actual data from your lab or problem statement! --- ## **Final Answer (How to Write Your Answers)** 1. **Calculate** initial and final momentum for each collision. 2. **Compare** the values. 3. **Fill in** the table as shown in the example above. --- If you provide the actual masses and velocities for each collision, I can help you fill in the table with real numbers!