Question

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

Answer 1

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.

$F=G*\frac{m_{1} m_{2} }{r^{2} } \\where\\G = 6.67*10^-11 [\frac{N*m^{2} }{kg^{2} } ]\\m_{1}= mass 1\\ m_{2}= mass 2\\\\r= distance between the bodies.$

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:

$F=6.67*10^-11*\frac{1000 *5.97*10^{24} }{(150*10^{6} )^{2} } \\\\\\F= 17.69[N]$[/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]

$F=6.67*10^-11*\frac{1000 *1.98*10^{30} }{(150*10^{6} )^{2} } \\\\\\F= 5869600[N]$

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