A friend tells you that it is possible for the gravitational force between two 50 kg objects to be less than the gravitational force between 25 kg objects. Is your friend correct
Please help
i think so😕
Of course, if the more massive objects are further apart.
oh so im corecct
No, your friend is not correct. The gravitational force between two objects depends on two factors: the mass of the objects and the distance between them.
The formula to calculate gravitational force is given by Newton's law of universal gravitation:
F = (G * m1 * m2) / r^2
where F is the gravitational force, G is the gravitational constant, m1 and m2 are the masses of the objects, and r is the distance between them.
In this case, you are comparing two sets of objects with masses of 50 kg and 25 kg. Assuming the distance between the objects stays the same, let's examine the formula.
When we plug in the values for the first set of objects (m1 = m2 = 50 kg), the formula becomes:
F1 = (G * 50 kg * 50 kg) / r^2
Now, let's calculate the gravitational force for the second set of objects (m1 = m2 = 25 kg):
F2 = (G * 25 kg * 25 kg) / r^2
If we compare the two equations, we can see that both have the same gravitational constant (G), same distance (r), and one set has twice the mass of the other. Therefore, according to the formula, the gravitational force between the two 50 kg objects will be twice as strong as the gravitational force between the 25 kg objects.
So, based on the law of universal gravitation, the gravitational force between two 50 kg objects will be greater than the gravitational force between two 25 kg objects.