pls solve

Asked by mufeedatvp2000 | 19th Apr, 2020, 12:37: PM

Expert Answer:

T o t a l space e n e r g y space i n space t h e space f i r s t space o r b i t comma space i. e space t h e space o r b i t space w i t h space r a d i u s space 2 R space i s
T E equals K E plus P E
T E equals 1 half m open parentheses square root of fraction numerator G M subscript e over denominator 2 R end fraction end root close parentheses squared minus fraction numerator G M subscript e m over denominator 2 R end fraction
T E equals negative fraction numerator G M subscript e m over denominator 4 R end fraction
E n e r g y space a t space t h e space s u r f a c e space o f space t h e space e a r t h
T E equals negative fraction numerator G M subscript e m over denominator R end fraction plus 0
C h a n g e space i n space e n e r g y equals negative fraction numerator G M subscript e m over denominator 4 R end fraction minus left parenthesis negative fraction numerator G M subscript e m over denominator R end fraction right parenthesis
equals 3 over 4 fraction numerator G M subscript e m over denominator R end fraction
equals 3 over 4 m g R
F o r space s e c o n d space o r b i t space
T E equals P E plus K E
T E equals fraction numerator negative G M subscript e m over denominator 6 R end fraction
E n e r g y space r e q u i r e d space t o space s h i f t space f r o m space 1 s t space o r b i t space t o space s e c o n d space o r b i t
T E equals fraction numerator negative G M subscript e m over denominator 6 R end fraction minus open parentheses fraction numerator negative G M subscript e m over denominator 4 R end fraction close parentheses
T E equals fraction numerator G M subscript e m over denominator 12 R end fraction equals fraction numerator m g R over denominator 12 end fraction

Answered by Utkarsh Lokhande | 19th Apr, 2020, 05:56: PM

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