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Projectile Motion Explained: Laws, Orbits & Escape Velocity

Understanding projectile motion, orbital motion, gravity's effects, and Newton's laws. Learn about escape velocity, weight, and gravitational attraction in our universe.

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Projectile Motion Explained: Laws, Orbits & Escape Velocity

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  1. P r o j e c t i l e M o t i o n

  2. P r o j e c t i l e • A n y o b j e c t t h r o w n i n t h e a i r . • A p r o j e c t i l e ’ s p a t h i s a l w a y s a c u r v e . • A p r o j e c t i l e ’ s p a t h h a s a h o r i z o n t a l c o m p o n e n t a n d a v e r t i c a l c o m p o n e n t .

  3. H o r i z o n t a l m o t i o n a n d V e r t i c a l m o t i o n a r e i n d e p e n d e n t o f e a c h o t h e r

  4. O r b i t a l M o t i o n: • A n o b j e c t t h a t o r b i t s a n o t h e r o b j e c t i s a c t u a l l y f a l l i n g t o w a r d t h a t o t h e r o b j e c t .

  5. O r b i t a l M o t i o n: • T h e o r b i t i n g o b j e c t a l s o h a s a h o r i z o n t a l v e l o c i t y t h a t c a r r i e s i t a h o r i z o n t a l d i s t a n c e e q u a l t o t h e d i s t a n c e i t h a s f a l l e n .

  6. E s c a p e V e l o c i t y : • T h e v e l o c i t y n e e d e d f o r a n o b j e c t t o e s c a p e t h e o r b i t a l g r a v i t y o f a p l a n e t . • S u n - 6 1 8 k m / s e c • E a r t h - • 1 1 . 2 k m / s e c • 2 5 , 0 0 0 m p h ( 7 m i l e s / s )

  7. E s c a p e V e l o c i t y : • G = 6 . 6 7 X 1 0 - 4 N m 2 / k g 2 • M = m a s s o f p l a n e t • r = d i s t a n c e f r o m s a t e l l i t e t o p l a n e t

  8. Newton's Law of Universal Gravitation: • A l l o b j e c t s i n t h e u n i v e r s e a t t r a c t e a c h o t h e r b y t h e f o r c e o f g r a v i t y . • T h e s i z e o f t h e f o r c e d e p e n d s o n t h e m a s s o f t h e o b j e c t s a n d t h e d i s t a n c e b e t w e e n t h e m .

  9. Newton's Law of Universal Gravitation: • T h e f o r c e o f G r a v i t y i n c r e a s e s w i t h t h e m a s s o f a n o b j e c t . • G r a v i t a t i o n a l a t t r a c t i o n b e t w e e n o b j e c t s d e c r e a s e s a s t h e d i s t a n c e b e t w e e n t h e m i n c r e a s e s .

  10. Matter is Never Weightless!

  11. W e i g h t • W e i g h t i s t h e m e a s u r e o f t h e f o r c e o f g r a v i t y o n a n o b j e c t . • W e i g h t = m a s s X a c c e l o f g r a v • W = m X g • O n E a r t h , g = 9 . 8 m e t e r s / s e c 2

  12. P r o j e c t i l e M o t i o n E n d

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