two objects of masses m1 and m2 when seperated by distance 'd'in air attract each other with force 4N.how is magnitude of force changed vwhen masses of object is reduced to one half??

Asked by arajeevshashank | 26th Aug, 2019, 06:16: PM

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 | 26th Aug, 2019, 06:53: PM