CBSE Class 9 Answered
how does the force of gravitation between two objects change when the distance between them is reduced to half
Asked by sonalichavan03.bpps | 19 Dec, 2021, 20:19: PM
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](https://images.topperlearning.com/topper/tinymce/cache/f9f23ea49b439184398c116e33975798.png)
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](https://images.topperlearning.com/topper/tinymce/cache/bcee8e4d95d4ca60cac9c64328e7e805.png)
Hence when distance decreases by half , gravitational attractive force increases by a factor of 4
Answered by Thiyagarajan K | 19 Dec, 2021, 21:30: PM
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