Question

True or false: larger, more massive objects, attract other objects more than those with less mass

Answer 1

True. Massive objects, attract other objects more than those with less mass

Step-by-step explanation:

We can analyze the formula of the law of universal gravitation proposed by Newton. This formula has the following variables.

`F=G*(m_(1) m_(2) )/(r^(2) ) \\where\\G = 6.67*10^-11 [(N*m^(2) )/(kg^(2) ) ]\\m_(1)= mass 1\\ m_(2)= mass 2\\\\r= distance between the bodies.\\`

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:

`F=6.67*10^-11*(1000 *5.97*10^(24)  )/((150*10^(6)  )^(2)  ) \\\\\\F= 17.69[N]`[/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*(1000 *1.98*10^(30)  )/((150*10^(6)  )^(2)  ) \\\\\\F= 5869600[N]`

This example shows that at the same distance objects with more mass can exert more force than objects with lesser mass.