All of question 2 **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 Description:**1. **Before Collision:** Shows the ball moving towards the pendulum bob.2. **At Collision (Inelastic):** The ball is inside the bob, illustrating the moment of impact.3. **After Collision:** The bob with the ball inside swings upward.1. **Question:** In an inelastic collision, what is conserved and what is not conserved? Explain.2. **Variables Defined:** - \(m_1\): Mass of the ball - \(m_2\): Mass of the pendulum - \(v_1\): Velocity of the ball - \(v_2\): Velocity of the ball and pendulum together a. **Task:** Derive an equation for the momentum of the system at the instant just before the collision, assuming a completely inelastic and instantaneous 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 the 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 the collision.**Projectiles and Energy****Apparatus:** Ballistic Pendulum apparatus, ruler, meter stick, and two-meter stick. Catch boards.*Last revised 7/17/2015* (Projectiles and Pendulums - 8.1 and 8.2)

Given information: The mass of the ball = m1 The mass of the pendulum = m2 The velocity of the ball…

Use m, for the mass of the ball, m2 for the mass of the pendulum, vị for the velocity of the ball and v2 for the velocity of the ball and pendulum together. a. 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. A completely inelastic collision often refers to a collision where the two objects stick together. b. Derive an equation for the final velocity of ball and bob immediately after collision. Show how you arrived at this. c. Derive an equation for the total mechanical energy of the ball and bob combination immediately after collision