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two objects of masses m1 and m2 when seperated by a distance d in air attract each other with a force of 4n how is the magnitude of force changed when the masses of both objects are reduced to one half?
Asked by arajeevshashank | 25 Aug, 2019, 10:34: AM
answered-by-expert Expert Answer
The gravitational force is given as, 
 
F space equals fraction numerator G m subscript 1 m subscript 2 over denominator d squared end fraction W h e n space t h e space d i s tan c e space i s space d space t h e space f o r c e space i s space 4 N space T h u s comma space 4 space equals space fraction numerator G m subscript 1 m subscript 2 over denominator d squared end fraction space... left parenthesis 1 right parenthesis W h e n space t h e space m a s s space o f space b o t h space b o d i e s space a r e space r e d u c e d space t o space h a l f space t h e n comma space F apostrophe space equals fraction numerator G open parentheses begin display style m subscript 1 over 2 end style close parentheses open parentheses begin display style m subscript 2 over 2 end style close parentheses over denominator d squared end fraction... left parenthesis 2 right parenthesis T a k i n g space r a t i o s space o f space 1 right parenthesis space a n d space 2 right parenthesis fraction numerator F over denominator F apostrophe end fraction equals fraction numerator fraction numerator G m subscript 1 m subscript 2 over denominator d squared end fraction over denominator fraction numerator G open parentheses begin display style m subscript 1 over 2 end style close parentheses open parentheses begin display style m subscript 2 over 2 end style close parentheses over denominator d squared end fraction end fraction space equals space 4 over 1 T h u s comma fraction numerator 4 over denominator F apostrophe end fraction equals 4 over 1 T h u s comma space F apostrophe space equals space 1 space N space left parenthesis w h e n space t h e space m a s s e s space a r e space r e d u c e d space t o space h a l f right parenthesis space  
 
Thus, when masses are reduced to half the magnitude of the force is reduced to the one-fourth of the initial value. 
Answered by Shiwani Sawant | 25 Aug, 2019, 03:22: PM

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