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Chapter 10

Chapter 10. Projectile and Satellite Motion. Ch 3 Nonlinear Motion. Velocity : A vector quantity. A. B. A+B. Vector quantities have magnitude and direction. A + B. B. A. R is called the resultant vector. R = A + B. The Pythagorean Theorem. R 2 = A 2 + B 2. R = A + B. A. B.

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Chapter 10

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  1. Chapter 10 Projectile and Satellite Motion

  2. Ch 3 Nonlinear Motion Velocity : A vector quantity A B A+B

  3. Vector quantities have magnitude and direction A + B B A R is called the resultant vector R = A + B

  4. The Pythagorean Theorem R2 = A2 + B2 R = A + B A B

  5. Projectile Motion Any object that is projected by some means and continues in motion under the influence of gravity and air resistance is called a projectile. The path of a projectile is called the trajectory

  6. Projectile Motion -g vector

  7. Projectile Range At 30 degrees At 15 degrees

  8. Fast Moving Projectiles Satellites The Earth’s curvature drops a vertical distance of 5 meters every 8,000 meters horizontally

  9. Circular Motion V = r   r

  10. “The greater the velocity… with which a stone is projected, the farther it goes before it falls to the earth. We may therefore suppose the velocity to be so increased, that it would describe an arc of 1, 2, 5, 10 100, 1000 miles before it arrived at the earth, till at last, exceeding the limits of the earth, it should pass into space without touching” Isaac Newton – System of the World

  11. Circular Orbit vt a = vt2/R R

  12. Falling Bodies Near the Surface of The Earth V Xcm = Focus Xe

  13. Elliptical Orbits

  14. Elliptical Orbits KE + PE KE + PE

  15. Elliptical Orbits KE + PE Apogee Perigee KE + PE

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