Respuesta :
When two objects are near each other, increasing one object’s mass would cause the gravitational force of the object to increase.
The formula for gravitational force (F) is
[tex]F = \frac{GmM}{d^{2} }\\[/tex]
where m and M are the masses of the two objects, d is the distance between their centres, and G is the gravitational constant.
If we hold M and d constant, we can write
[tex]F = km[/tex], where [tex]k = \frac{GM}{ d^{2}}\\[/tex]
Thus, gravitational force is directly proportional to the mass of the object.
If you increase the mass of an object, you increase its gravitational force.
When two objects are near each other, increasing the mass will cause the gravitational force on the objects to increase.
According to Newton's law of universal gravitation, the force of attraction between two objects in the universe is directly proportional to the product of the objects masses and inversely proportional to the square of distance between the two objects.
[tex]F = \frac{Gm_1m_2}{R^2}[/tex]
where;
- G is universal gravitation constant
- m₁ is the mass of the first object
- m₂ is the mass of the second object
- R is the distance between the two objects
The force of attraction increases with increase in mass of the two objects. The force of attraction also increases when the distance between the two objects are small.
Thus, we can conclude that when two objects are near each other, increasing the mass will cause the gravitational force on the object to increase.
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