Question

Four identical 2500 at the corners of a square with 12 m sides calculate the force of gravity between A and B

Answer 1

The force of gravity between A and B is 34.72 N

Step-by-step explanation:

Given:

Mass m = 2500 kg

Length of the sides of the square = 12 m

To Find:

The force of gravity between A and B = ?

Solution:

We know that all the objects attract each other with a force of gravitational attraction. Gravity is universal. This force of gravitational attraction is directly dependent upon the masses of both objects and inversely proportional to the square of the distance that separates their centres. Newton's conclusion about the magnitude of gravitational forces is summarized symbolically as

`F_(grav)\alpha (m_1+m_2)/(d^2)`

where

`F_(grav)` is the force of gravity between two objects

`m_1`is the mass of object 1

`m_2` is the mass of object 2

d is the distance between the objects

Now substituting the given values

`F_(gravity) = (2500+2500)/(12^2)`

`F_(gravity) = (5000)/(144)`

`F_(gravity) =34.72 N`