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Section 6.6
Mechanical Energy and Its Conservation
Mechanical Energy and Its Conservation
 How do I solve problems utilizing conservation of mechanical energy?
Conservation
 If there are no nonconservative forces..


 The sum of the changes in kinetic and potential energy is zero


 Total Mechanical Energy (E) = KE + PE


 Conservation means that E2 = E1 = constant
Conservation - Dropping a rock
Conservation - Dropping a rock
Problem Solving
With a spring…
Example
 In the rock problem…
 If original height of the rock is 3.0 m, calculate the rocks speed when it has
  fallen to 1.0 m above the ground.
Example
 If the height of the hill is 40 m, and the roller coaster starts from rest,
  calculate (a) the speed of the roller coaster at the bottom of the hill, and (b)
  and at what height the speed will be ½ of (a). Use y = 0 at the bottom of the
  hill, and assume no friction.
Example
 Two water slides have the same
  length and start at the same height.
  Both rides start from rest at the
  same time. (a) Which rider is
  traveling faster at the bottom? (b)
  Which rider makes it to the bottom
  first?
Homework
 Page 163
 # 33 - 41
Power
Homework
 Worksheet

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Advanced/Notes 6.6