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Relative and Circular Motion

Relative and Circular Motion. Relevant Equations How to use them Homework Hints. Train Ride. Your motion is in the same direction as the train so the speeds add.

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Relative and Circular Motion

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  1. Relative and Circular Motion • Relevant Equations • How to use them • Homework Hints

  2. Train Ride Your motion is in the same direction as the train so the speeds add. Your motion is in the opposite direction as the train so the speeds subtract. Note that the formula remains the same but the velocity vector is now in the opposite direction of the velocity vector . Here you are asked to calculate the relative velocity between two objects. The velocity of each object should be w.r.t the same frame of reference (in this case the ground). In this case the velocities are in opposite directions (head on) so the relative velocity is larger than if they were moving in the same direction.

  3. Cruise Assuming that the ship is traveling forwards, you are also moving north so the speeds add. In this case you are moving in the opposite direction to the ship’s motion so your speed w.r.t land will be reduced. Here you are asked to calculate the relative velocity between two objects. The velocity of each object should be w.r.t the same frame of reference (in this case the land). In this case the velocities are in opposite directions (head on) so the relative velocity is larger than if they were moving in the same direction. Note the similarity to the previous problem

  4. Plane Ride N E East of north

  5. Plane Ride 2 N East of north

  6. River Rescue

  7. Which Scenario? A) B) C)

  8. Which Frame? A) B) C)

  9. Enter Question Text A) B) C) D)

  10. Enter Question Text A) B) C) D)

  11. Quantitative Analysis Note that the boat needs to cover the distance between the child and dock z at the time the boat leaves the dock!!!

  12. Car on Curve

  13. Car on Curve

  14. Enter Question Text A) B) C)

  15. Car on Curve 2 Left for student…same procedure as preceding problem

  16. Car on Curve 2

  17. v = wR Another way to see it: v dt =R dq dq R v = Rw

  18. Centripetal Acceleration-Example

  19. Centripetal Acceleration due to Earth’s rotation

  20. Once around: v = Dx /Dt = 2pR / T w = Dq /Dt = 2p / T v = wR wis the rate at which the angleqchanges: q

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