Question

If the gravitation force between a two objects weighing 15kg and 40 kg is 150 multiple by 10^-10n? Find the distance between two objects

Answer 1

Answer:

If the gravitation force between two objects weighing 15kg and 40 kg is$F=150*10^{-10}N$  the distance between two objects is $1.63m$

Explanation:

The gravitational force is a universal force between any two objects

If the masses of two bodies are $m_{1}, m_{2}$ and the distance between them is $r$ then the gravitational force is equal to

$F=G\frac{m_{1} m_{2} }{r^{2} }$

where the gravitational constant $G=6.67*10^{-11}Nkg^{2} /m^{2}$

From the question, it is given that

mass of the first body $m_{1} =15kg$

mass of the second body $m_{2} =40kg$

the force between these two masses $F=150*10^{-10}N$

substitute the given values to get the distance $r^{2} =G\frac{m_{1} m_{2} }{F} =\frac{6.67*10^{-11}*15*40 }{150*10^{-10} } =2.66\\r=\sqrt{2.66}=1.63m$