### Physics Problem: Collision Analysis**Scenario:**- A hockey puck slides along the ice when it collides with a filled water bottle, initially at rest on the ice.- **Puck Velocity Before Collision:** \((5\hat{i} - 6\hat{j}) \, \text{m/s}\)- **Puck Velocity After Collision:** \(5 \, \text{m/s}\) at 36.87° counterclockwise from the negative x-axis.- **Mass of Puck:** \(0.2 \, \text{kg}\)- **Mass of Water Bottle:** Three times the mass of the puck (\(0.6 \, \text{kg}\))**Tasks:**1. **Velocity of Water Bottle After Collision:** - Compute in component vector form.2. **Speed and Direction of Water Bottle After Collision:** - Direction in terms of an angle between 0° and 90° relative to an axis (e.g., 41° ccw from +y).3. **Change in Momentum of Hockey Puck:** - Calculate \(\Delta \vec{p}\) during the collision.4. **Magnitude of Forces During Collision:** - Determine the relationship between forces on the puck and the bottle: - The force on the puck is three times as large. - The force on the bottle is three times as large. - Forces are the same magnitude. - Relation cannot be determined from information given.5. **Average Force on the Water Bottle:** - Collision lasts 0.25 seconds. Calculate \(\vec{F}_{\text{avg}}\).**Diagram Explanation:**- **View from Above:** - The puck approaches the bottle at \((5\hat{i} - 6\hat{j}) \, \text{m/s}\). - The bottle is initially at rest and is three times the mass of the puck.Ensure all calculations take into account conservation of momentum and vector components correctly.

Hockey puck (m)= 0.2kg u1= 5i - 6j m/s u2= -5cos36.87° i - 5 sin 36.87° j = -4i -3j m/s M=…

1. A hockey puck slides along the ice when it collides with a filled water bottle which was sitting at rest on the ice. The velocity of the puck just before colliding with the water bottle is (58 - 6j) m/s and the velocity of the puck just after the collision is 5 m/s at 36.87° counterclockwise from -x. The mass of the puck is 0.2 kg and the mass of the water bottle is three times as large. view from above +y M m (5t – 6)- +x a. What is the velocity of the water bottle immediately after the collision? Write answer in component vector form. Initially at rest 3M m M b. What is the speed and direction of the water bottle immediately after the collision? Give direction in terms of an angle between 0° and 90° relative to an axis, i.e., 41° ccw from +y. What is the change in momentum Ap of the hockey puck during the collision? с.

1. A hockey puck slides along the ice when it collides with a filled water bottle which was sitting at rest on the ice. The velocity of the puck just before colliding with the water bottle is (58 - 6j) m/s and the velocity of the puck just after the collision is 5 m/s at 36.87° counterclockwise from -x. The mass of the puck is 0.2 kg and the mass of the water bottle is three times as large. view from above +y M m (5t – 6)- +x a. What is the velocity of the water bottle immediately after the collision? Write answer in component vector form. Initially at rest 3M m M b. What is the speed and direction of the water bottle immediately after the collision? Give direction in terms of an angle between 0° and 90° relative to an axis, i.e., 41° ccw from +y. What is the change in momentum Ap of the hockey puck during the collision? с.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

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

### Physics Problem: Collision Analysis

**Scenario:**
- A hockey puck slides along the ice when it collides with a filled water bottle, initially at rest on the ice.
- **Puck Velocity Before Collision:** \((5\hat{i} - 6\hat{j}) \, \text{m/s}\)
- **Puck Velocity After Collision:** \(5 \, \text{m/s}\) at 36.87° counterclockwise from the negative x-axis.
- **Mass of Puck:** \(0.2 \, \text{kg}\)
- **Mass of Water Bottle:** Three times the mass of the puck (\(0.6 \, \text{kg}\))

**Tasks:**
1. **Velocity of Water Bottle After Collision:**
- Compute in component vector form.

2. **Speed and Direction of Water Bottle After Collision:**
- Direction in terms of an angle between 0° and 90° relative to an axis (e.g., 41° ccw from +y).

3. **Change in Momentum of Hockey Puck:**
- Calculate \(\Delta \vec{p}\) during the collision.

4. **Magnitude of Forces During Collision:**
- Determine the relationship between forces on the puck and the bottle:
- The force on the puck is three times as large.
- The force on the bottle is three times as large.
- Forces are the same magnitude.
- Relation cannot be determined from information given.

5. **Average Force on the Water Bottle:**
- Collision lasts 0.25 seconds. Calculate \(\vec{F}_{\text{avg}}\).

**Diagram Explanation:**
- **View from Above:**
- The puck approaches the bottle at \((5\hat{i} - 6\hat{j}) \, \text{m/s}\).
- The bottle is initially at rest and is three times the mass of the puck.

Ensure all calculations take into account conservation of momentum and vector components correctly.

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