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4. Because of conservation of energy, the energy quantities from question 2 & 3 are equal. Use the equations from above to write one equation for the initial velocity of the ball, in terms of the final height. Show the steps needed to do this below

4. Because of conservation of energy, the energy quantities from question 2 & 3 are equal. Use the equations from above to write one equation for the initial velocity of the ball, in terms of the final height. Show the steps needed to do this below

College Physics
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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I need #4 answered but its connected to 2 n 3

**Pre-laboratory Work: Part P-1:** Let’s consider the ballistic pendulum apparatus. A spring gun projects the ball horizontally into a hollow bob that catches the ball. Below is a drawing of the three stages of this action. **Diagram Explanation:** 1. Three stages are illustrated: - **Before Collision:** The ball is moving towards the bob. - **At Collision (Inelastic):** The ball makes contact with the bob. - **After Collision:** Both move together in a new direction. 1. **Question:** In an inelastic collision, what is conserved and what is not conserved? Explain. 2. Use \( m_1 \) for the mass of the ball, \( m_2 \) for the mass of the pendulum, \( v_1 \) for the velocity of the ball, and \( v_2 \) for the velocity of the ball and pendulum together. a. **Task:** For the drawings above, assuming a completely inelastic and instantaneous collision, derive an equation for the momentum of the system at the instant just before the collision. *Note:* A completely inelastic collision often refers to a collision where the two objects stick together. b. **Task:** Derive an equation for the final velocity of the ball and bob immediately after collision. *Show how you arrived at this.* c. **Task:** Derive an equation for the total mechanical energy of the ball and bob combination immediately after collision. *Last revised 7/17/2015* **Projectiles and Energy** *Name: _______________ Lab Partner: _______________ Date: _______________ Lab day & time: _______________* *Apparatus:* Ballistic Pendulum apparatus, Ruler, meter stick, and two meter stick. Catch boards.
Transcribed Image Text:**Pre-laboratory Work: Part P-1:** Let’s consider the ballistic pendulum apparatus. A spring gun projects the ball horizontally into a hollow bob that catches the ball. Below is a drawing of the three stages of this action. **Diagram Explanation:** 1. Three stages are illustrated: - **Before Collision:** The ball is moving towards the bob. - **At Collision (Inelastic):** The ball makes contact with the bob. - **After Collision:** Both move together in a new direction. 1. **Question:** In an inelastic collision, what is conserved and what is not conserved? Explain. 2. Use \( m_1 \) for the mass of the ball, \( m_2 \) for the mass of the pendulum, \( v_1 \) for the velocity of the ball, and \( v_2 \) for the velocity of the ball and pendulum together. a. **Task:** For the drawings above, assuming a completely inelastic and instantaneous collision, derive an equation for the momentum of the system at the instant just before the collision. *Note:* A completely inelastic collision often refers to a collision where the two objects stick together. b. **Task:** Derive an equation for the final velocity of the ball and bob immediately after collision. *Show how you arrived at this.* c. **Task:** Derive an equation for the total mechanical energy of the ball and bob combination immediately after collision. *Last revised 7/17/2015* **Projectiles and Energy** *Name: _______________ Lab Partner: _______________ Date: _______________ Lab day & time: _______________* *Apparatus:* Ballistic Pendulum apparatus, Ruler, meter stick, and two meter stick. Catch boards.
**Projectiles and Energy Lab** **Apparatus:** - Ballistic Pendulum apparatus - Ruler, meter stick and two meter stick - Catch boards - Tape - Metal Ball **Part L-1:** This section continues from the prelab, focusing on post-collision events. Relationships derived from the prelab will guide the measurements. Collaborate in groups to verify prelab answers. **Tasks:** 3. **Derive the Maximum Height Equation:** - After collision, the ball and pendulum reach a maximum height. Derive an equation for total energy at this point. 4. **Conservation of Energy:** - Utilize the conservation of energy to equate energy quantities from questions 2 and 3. - Formulate an equation for the initial velocity of the ball using the final height. Show all steps. **Mass of Ball and Pendulum Arm:** In some experiments, calculating the mass of the ball and pendulum arm is necessary. Removing the arm might damage it, so the mass of the arm (245.53g) and the cup (65.85g) is provided. **Educational Objectives:** - Understand post-collision dynamics in a ballistic pendulum setup. - Apply principles of conservation of energy to derive relevant equations. - Develop skills in collaborative experimental analysis.
Transcribed Image Text:**Projectiles and Energy Lab** **Apparatus:** - Ballistic Pendulum apparatus - Ruler, meter stick and two meter stick - Catch boards - Tape - Metal Ball **Part L-1:** This section continues from the prelab, focusing on post-collision events. Relationships derived from the prelab will guide the measurements. Collaborate in groups to verify prelab answers. **Tasks:** 3. **Derive the Maximum Height Equation:** - After collision, the ball and pendulum reach a maximum height. Derive an equation for total energy at this point. 4. **Conservation of Energy:** - Utilize the conservation of energy to equate energy quantities from questions 2 and 3. - Formulate an equation for the initial velocity of the ball using the final height. Show all steps. **Mass of Ball and Pendulum Arm:** In some experiments, calculating the mass of the ball and pendulum arm is necessary. Removing the arm might damage it, so the mass of the arm (245.53g) and the cup (65.85g) is provided. **Educational Objectives:** - Understand post-collision dynamics in a ballistic pendulum setup. - Apply principles of conservation of energy to derive relevant equations. - Develop skills in collaborative experimental analysis.
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