Part P-1: Let's consider the ballistic pendulum apparatus as pictured on previous page. 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. O2. Use my for the mass of the ball. ma for the mass of the pendulum, vi for the velocity of the ball and va for the velocity of the ball and pendulum together. a. For the drawings above. assuming a completely inelastic and instantaneous collision, derive an A completely inelastic collision equation for the momentum of the system, at the often refers to a collision where instant just before the collision. 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