Calculate the force of gravitation between two bodies of weight 50 kg and 10 kg respectively place at 10 m apart . If their distance increased to 100 % then find the change in percentage of force . ( New force is 75% less than the original force ) .

Explanation

Given
Mass of body 1 ,`m_1=50 kg `
Mass of body 2 , `m_2= 10 kg `
Distance , R= 10 m
Universal gravitation
constant , `G= 6.67 xx 10^(-11) Nm^(2) kg^(-2)`
To find : force of gravitation , `F=(Gm_1m_2)/(R^(2))`
Solution
`F= (6.67 xx 10^(-11) xx 50 xx 10)/(10^(2))`
Force ,`F= 33. 35 xx 10^(-11) N`