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Projectile Motion

Projectile Motion

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Projectile Motion

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  1. Projectile Motion Projectile Motion

  2. Feeding the Monkey(Banana Gun) • Where does the zookeeper aim if he wants to hit the monkey? • ( He knows the monkey willlet go as soon as he shoots ! )

  3. Feeding the Monkey... r = r0 • If there were no gravity, simply aim at the monkey r =v0t

  4. Banana hits monkey! Feeding the Monkey... r= r0 - 1/2 g t2 • With gravity, still aim at the monkey! r= v0t - 1/2 g t2

  5. Projectile: An Object Moving Solely Under Influence of Gravity

  6. Horizontally Launched Projectile

  7. Projectile Motion

  8. Projectile Velocities

  9. Net Force in Freefall

  10. Independence of x & y Motions For Vx= 5 m/s

  11. Projectile Launched at Angle

  12. Projectile Launched at Angle - 2

  13. Monkey Zookeeper

  14. Monkey – Zookeeper – No Gravity

  15. Monkey Zookeeper - Fast

  16. Monkey – Zookeeper - Slow

  17. Projectile Trajectories Complementary angles have equal ranges

  18. Satellite Motion • If superman threw a rock fast enough … it would orbit the earth (if there were no air resistance

  19. Satellite = Fast Projectile • Since the earth’s surface curves away from the horizontal by 5 m for every 8000 m tangent to the surface • V = 8000 m/s = 8 km/s

  20. Satellite Periods • For a satellite close to the Earth, the period (the time for a complete orbit about the Earth) is about 90 minutes. • For higher altitudes, the orbital speed is less, distance is more, and the period is longer. • For example, communication satellites located in orbit 5.5 Earth radii above the surface of the Earth have a period of 24 hours.