lec10a-203-08-gravbest

lec10a-203-08-gravbest - 10a-1 10a-1a 10a-1 10a-1b...

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10a-1

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10a-1 10a-1a
10a-1b

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2 2 (2 ) R a T π = 8 12 2 (10) 28.6 (10) m s = 8 3.84(10) R m = 2 0.00286 Moon m a s = (circular orbit) 2 8 6 2 (2[3.14]) 3.84(10) [2.3(10) ] m s = 10a-2
10a-2 2 e R Moon apple Moon dist a a R = e R 1 .0166 60.2 Moon dist R = = 2 2 1 9.8 60.2 Moon m a s = 2 0.0027 Moon m a s = 6 e 8 R 6.378(10) 3.84(10) Moon dist m R m = N nailed it !!!!! dead right 10-3

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Throw an object up(very slow) – how high does it go? v top = 0 : know v i = 100 m/s U = 0 y = 0 y= h 0 mv 2 1 E 2 i i + = mgh 0 E f + = f i E E = mgh mv 2 1 2 = 2g v h 2 i = 2(9.8) 00 1 h 2 = ) s m ( s m 2 2 510 h = m 10a-3 Recall
v top = 0 : know v i e e 2 i i R m GM - mv 2 1 E = r m GM - E e f = f i E E = e R Earth r r m GM - R m GM - mv 2 1 e e e 2 i = 0 ) (r U :::: r GMm - (r) U = = = Universal Gravitational Potential Energy E > 0 gets to And keeps going = r E= 0 can just get to and stops E< 0 can find r max and object falls back = r 3 cases 10a-4

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v top = 0 : know v i e e 2 i i R m GM - mv 2 1 E = r m GM - E e f = f i E E = e R Earth r 2 e e i e GM m
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lec10a-203-08-gravbest - 10a-1 10a-1a 10a-1 10a-1b...

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