Quiz10_13solutions

Quiz10_13solutions - Physics 221 Quiz 10 Spring 2013 Name...

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Physics’221 ’ Quiz’10 ’ Spring’2013 ’ Name’’ Section___________’ Quiz’10 A’ An’object’of’mass’15.0’kg’is’dropped’from’rest’from’a’height’of’1.50 R Earth ’ above’the’surface’ of’the’E arth.’What’is’the’velocity’of’the’mass’just’before’it’hits’the’ground?’Assume’the’ earth’is’static’during’the’event’and’the’drag’from’the’atmosphe re’is’negligible.’ [ M Earth =5.97x10 24’ kg,’ R Earth =6.38x10 6 ’ m,’ G =6.67x10 -11 ’ Nm 2 /kg 2 ]’ Solution: ’ The’initial’distance’from’the’center’of’the’Earth’is’2.50 R Earth , and’the’final’distance’ is’ R Earth . Using’conservation’of’energy,’ KE i + PE i = KE f + PE f ,’so ’ 0 ! GMm 2.5 R Earth = 1 2 mv f 2 ! GMm R Earth , or v f = 3 GM 2.5 R Earth = 3(6.67x10 ! 11 )(5.97x10 24 ) 2.5(6.38x10 6 ) = 8.65x10 3 m/s = 8.65 km/s.
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Physics’221 ’ Quiz’10 ’ Spring’2013 ’ Name’’ Section___________’
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Quiz10_13solutions - Physics 221 Quiz 10 Spring 2013 Name...

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