Chapter 10 Projectile and Satellite Motion Ch 3

Chapter 10 Projectile and Satellite Motion

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

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

The Pythagorean Theorem R 2 = A 2 + B 2 A R= B + A B

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

Projectile Motion -g vector

Projectile Range At 30 degrees At 15 degrees

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

Circular Motion V=r r

“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

Circular Orbit vt a = vt 2/R R

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

Elliptical Orbits

Elliptical Orbits KE + PE

Elliptical Orbits KE + PE Apogee Perigee KE + PE