Answer:
True. Massive objects, attract other objects more than those with less mass
Explanation:
We can analyze the formula of the law of universal gravitation proposed by Newton. This formula has the following variables.
![F=G*\frac{m_{1} m_{2} }{r^{2} } \\where\\G = 6.67*10^-11 [\frac{N*m^{2} }{kg^{2} } ]\\m_{1}= mass 1\\ m_{2}= mass 2\\\\r= distance between the bodies.\\](https://tex.z-dn.net/?f=F%3DG%2A%5Cfrac%7Bm_%7B1%7D%20m_%7B2%7D%20%7D%7Br%5E%7B2%7D%20%7D%20%5C%5Cwhere%5C%5CG%20%3D%206.67%2A10%5E-11%20%5B%5Cfrac%7BN%2Am%5E%7B2%7D%20%7D%7Bkg%5E%7B2%7D%20%7D%20%5D%5C%5Cm_%7B1%7D%3D%20mass%201%5C%5C%20m_%7B2%7D%3D%20mass%202%5C%5C%5C%5Cr%3D%20distance%20between%20the%20bodies.%5C%5C)
Let's suppose an asteroid that is passing through the solar system and in some moment the earth is very near to its trajectory.
The mass of the asteroid is m1 = 1000 [kg]
The mass of the earth is m2 = 5,972E24 [kg]
the distance between the asteroid is r = 150000[km]
Therefor the force exerted by the earth over the asteroid is:
[/tex]
Now the force exerted by the sun.
The mass of the asteroid is m1 = 1000 [kg]
The mass of the earth is m2 = 1,98 E 30 [kg]
the distance between the asteroid is r = 149 600 000 [km]
![F=6.67*10^-11*\frac{1000 *1.98*10^{30} }{(150*10^{6} )^{2} } \\\\\\F= 5869600[N]](https://tex.z-dn.net/?f=F%3D6.67%2A10%5E-11%2A%5Cfrac%7B1000%20%2A1.98%2A10%5E%7B30%7D%20%20%7D%7B%28150%2A10%5E%7B6%7D%20%20%29%5E%7B2%7D%20%20%7D%20%5C%5C%5C%5C%5C%5CF%3D%205869600%5BN%5D)
This example shows that at the same distance objects with more mass can exert more force than objects with lesser mass.