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Potential Energy

Chapter 7. Potential Energy. Gravitational Potential Energy. The higher you are, the more energy you have. Conservation of Energy. Conservation of Energy (no friction). Consider a ball at some height above the ground. Potential Energy. No Velocity. Some Velocity. h.

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Potential Energy

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  1. Chapter 7 Potential Energy

  2. Gravitational Potential Energy The higher you are, the more energy you have.

  3. Conservation of Energy

  4. Conservation of Energy (no friction)

  5. Consider a ball at some height above the ground. Potential Energy No Velocity Some Velocity

  6. h Conservation of Energy What is the velocity v of the ball at the bottom if the ball is released from rest?

  7. Example 2 What is the velocity v of the ball when it is at h/3? h h/3

  8. Example 3 If the ball is initially travelling at v0, what is the velocity v of the ball when it is at h/3? h h/3

  9. Find the final speed

  10. Roller Coaster A roller coaster slides down a frictionless track at height h with initial velocity v0. Find the velocity at A.

  11. Pendulum

  12. Potential energy In a spring

  13. How fast will it go?

  14. Wf Work done by friction (Non-conservative force)

  15. Two Potential Energy? Later in Chapter 11, we will learn another equation for gravitational potential energy: PEG=mghis only true near the planet’s surface (where g is a constant). Far away the gravitational field gets weak (where g gets smaller) and PEG=mghis no longer true.

  16. What we left out (read at home) 7.6: Electric PE (will study in PHYS 172) 7.7: Energy diagrams 7.8: PE in fuels

  17. What you learned • Conservation of energy • Different types of PE: gravitational, spring

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