A golfer tees up their ball on top of a 25m tall cliff. The golf ball weighs 45.5 grams. The golfer swings their 200g club at a speed of 42m/s. Assume there is no air resistance. What is the initial kinetic energy given to the ball from the club?  What is the speed of the ball just before it hits the ground?

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Chapter1: Units, Trigonometry. And Vectors
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  2. A golfer tees up their ball on top of a 25m tall cliff. The golf ball weighs 45.5 grams. The golfer swings their 200g club at a speed of 42m/s. Assume there is no air resistance.
    1. What is the initial kinetic energy given to the ball from the club? 
    2. What is the speed of the ball just before it hits the ground? 
    3. The ball bounces back up a height of 2.1m. How much energy was lost to the Earth? 
    4. This golfer has been known to tell some extraordinary stories. Explain if each situation is possible using conservation of energy. Assume friction/air resistance ARE present.
      1. They hit a ball in a completely flat field, and the ball followed a parabolic trajectory (like in projectile motion). They measured the ball speed at takeoff to be 91m/s. When the ball landed 145m away, they measured their ball speed on landing to be 94m/s. 
      2. They hit the ball along the ground. When the ball left the club, it was moving at 2m/s. When the ball went in the hole, it was moving at only 0.9m/s. 
      3. The golfer claims that hitting the ball with a club that is four times as massive at the same speed makes the ball go two times faster off the tee.
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