8. A carnival game requires you to knock over a wood post by throwing a ball...

  

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8. A carnival game requires you to knock over a wood post by throwing a ball at it. You're offered a very bouncy rubber ball and a very sticky clay ball of equal mass. Assume that you can throw them with equal speed and equal accuracy. You only get one throw. a. Which ball will you choose? Why? b. Let's think about the situation more carefully. Both balls have the same initial momentum Pix just before hitting the post. The clay ball sticks, the rubber ball bounces off with essentially no loss of speed. What is the final momentum of each ball? Clay ball: P Rubber ball P Hint: Momentum has a sign. Did you take the sign into account? c. What is the change in the momentum of each ball? Clay ball: Apx= Rubber ball Apx= d. Which ball experiences a larger impulse during the collision? Explain. e. From Newton's third law, the impulse that the ball exerts on the post is equal in magnitude, although opposite in direction, to the impulse that the post exerts on the ball. Which ball exerts the larger impulse on the post? f. Don't change your answer to part a, but are you still happy with that answer? If not, how would you change your answer? Why? 8. A carnival game requires you to knock over a wood post by throwing a ball at it. You're offered a very bouncy rubber ball and a very sticky clay ball of equal mass. Assume that you can throw them with equal speed and equal accuracy. You only get one throw. a. Which ball will you choose? Why? b. Let's think about the situation more carefully. Both balls have the same initial momentum Pix just before hitting the post. The clay ball sticks, the rubber ball bounces off with essentially no loss of speed. What is the final momentum of each ball? Clay ball: P Rubber ball P Hint: Momentum has a sign. Did you take the sign into account? c. What is the change in the momentum of each ball? Clay ball: Apx= Rubber ball Apx= d. Which ball experiences a larger impulse during the collision? Explain. e. From Newton's third law, the impulse that the ball exerts on the post is equal in magnitude, although opposite in direction, to the impulse that the post exerts on the ball. Which ball exerts the larger impulse on the post? f. Don't change your answer to part a, but are you still happy with that answer? If not, how would you change your answer? Why?