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.
[tex]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.\\[/tex]
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]F=6.67*10^-11*\frac{1000 *5.97*10^{24} }{(150*10^{6} )^{2} } \\\\\\F= 17.69[N][/tex][/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]
[tex]F=6.67*10^-11*\frac{1000 *1.98*10^{30} }{(150*10^{6} )^{2} } \\\\\\F= 5869600[N][/tex]
This example shows that at the same distance objects with more mass can exert more force than objects with lesser mass.
