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CBSE Class 9 Answered

Why the value of "g" decreases when we go above the earth's Surface?????
Asked by anandrajanandkumar201 | 22 Oct, 2020, 10:33: PM
answered-by-expert Expert Answer
Gravtational force between the earth and the object kept at the surface of the earth is given by
F equals fraction numerator G M subscript e m over denominator r squared end fraction
w h e r e space r space i s space t h e space d i s tan c e space f r o m space t h e space c e n t e r space o f space t h e space e a r t h
S o comma space i f space t h e space o b j e c t space i s space k e p t 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 space r equals R subscript e
F equals fraction numerator G M subscript e m over denominator R subscript e squared end fraction
h e r e space g space c a n space b e space d e f i n e s d space a s space g equals fraction numerator G M subscript e over denominator R subscript e squared end fraction
I f space t h e space o b j e c t space i s space a t space h e i g h t space h space f r o m 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 space t h e space n e w space v a l u e space o f space g space i. space e space
g to the power of apostrophe equals fraction numerator G M subscript e over denominator open parentheses R subscript e plus h close parentheses squared end fraction
g to the power of apostrophe equals fraction numerator G M subscript e over denominator R subscript e squared open parentheses 1 plus begin display style h over R subscript e end style close parentheses squared end fraction
g to the power of apostrophe equals g over open parentheses 1 plus begin display style h over R subscript e end style close parentheses squared
A s space w e space c a n space s e e space a s space t h e space v a l u e space o f space h space i n c r e a s e s space t h e space d e n o m i n a t o r space i n c r e a s e s
a n d space h e n c s space g to the power of apostrophe space d e c r e a s e s
Answered by Utkarsh Lokhande | 23 Oct, 2020, 08:38: AM
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