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ICSE Class 9 Answered

How do we solve complex problems related to the gravitational force, for example.. Calculate the gravitational force of attraction between the earth and moon when the mass of earth and given. I know the formula can be applied but how do we solve further because the calculations get quite complex and I personally, waste a lot of time myself for solving such sums in my exam paper. Urgent, pls reply fast.
Asked by nethra.v2005 | 13 Sep, 2019, 11:20: PM
answered-by-expert Expert Answer
Try to solve the terms with power seperately.Calculate the overall power of the expression and then multiply the remaining terms 
For example
M a s s space o f space e a r t h equals 5.972 cross times 10 to the power of 24 k g M a s s space o f space m o o n equals 7.347 cross times 10 to the power of 22 k g D i s tan c e space b e t w e e n space e a r t h space a n d space m o o n equals 3.84 cross times 10 to the power of 8 m G equals 6.67 cross times 10 to the power of negative 11 end exponent N m squared divided by k g squared F equals fraction numerator G M subscript e M subscript m over denominator d squared end fraction F equals fraction numerator 6.67 cross times 10 to the power of negative 11 end exponent cross times 5.972 cross times 10 to the power of 24 cross times 7.347 cross times 10 to the power of 22 over denominator open parentheses 3.84 cross times 10 to the power of 8 m close parentheses squared end fraction F equals fraction numerator 6.67 cross times 5.972 cross times 7.347 cross times 10 to the power of 22 cross times 10 to the power of negative 11 end exponent cross times 10 to the power of 24 over denominator open parentheses 3.84 close parentheses squared 10 to the power of 16 m end fraction W e space w i l l space f i r s t space c a l c u l a t e space o v e r a l l space p o w e r space o f space t h e space e x p r e s s i o n space F equals fraction numerator 6.67 cross times 5.972 cross times 7.347 cross times 10 to the power of 22 cross times 10 to the power of negative 11 end exponent cross times 10 to the power of 24 cross times 10 to the power of negative 16 end exponent over denominator open parentheses 3.84 close parentheses squared m end fraction F equals fraction numerator 6.67 cross times cross times 5.972 cross times 7.347 cross times 10 to the power of 19 over denominator open parentheses 3.84 close parentheses squared m end fraction N o w space f o c u s space o n space t h e space r e s t space o f space t h e space c a l c u l a t i o n space w i t h space l i t t l e space b i t space a p p r o x i m a t i o n. space D o i n g space p r o p e r space a p p r o x i m a t i o n space w o u l d space r e d u c e space t h e space d i g i t s space i n space y o u r space m u l t i p l i c a t i o n space a n d space m a k e s space i t space e a s i e r space t o space s o l v e. space F o r space e x a m p l e space y o u space c a n space u s e space t h e space m a s s space o f space e a r t h e q u a l s space t o space 6 cross times 10 to the power of 24 k g space i n s t e a d space o f space 5.972 cross times 10 to the power of 24 k g. space S i m i l a r l y space m a s s space o f space m o o n space a n d space g r a v i t a t i o n a l space c o n s tan t space c a n space b e space a p r r o x i m a t e l y space w r i t t e n space a s space 7.3 cross times 10 to the power of 22 k g space a n d space 6.7 cross times 10 to the power of negative 11 end exponent N m squared divided by k g squared space r e s p e c t i v e l y.
Answered by Utkarsh Lokhande | 14 Sep, 2019, 12:19: PM

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