how does the force of gravitation between two objects change when the distance between them is reduced to half

Asked by sonalichavan03.bpps | 19th Dec, 2021, 08:19: PM

Expert Answer:

Force of attraction between two masses m1 and m2  is given as
 
begin mathsize 14px style F space equals space G space fraction numerator m subscript 1 space m subscript 2 over denominator d squared end fraction end style
when distance become d/2 then new force Fnew becomes
 
begin mathsize 14px style F subscript n e w end subscript space equals space G space fraction numerator m subscript 1 space m subscript 2 over denominator open parentheses d divided by 2 close parentheses squared end fraction space equals space 4 space G space fraction numerator m subscript 1 space m subscript 2 over denominator d squared end fraction space equals space 4 space F end style
Hence when distance decreases by half , gravitational attractive force increases by a factor of 4

Answered by Thiyagarajan K | 19th Dec, 2021, 09:30: PM