Question

An equilateral triangle 7.0 m on a side has a m1 = 25.00 kg mass at one corner, a m2 = 85.00 kg mass at another corner, and a m3 = 115.00 kg mass at the third corner. Find the magnitude and direction of the net force acting on the 25.00 kg mass.

Answer 1

Given is:-

Side  

now,

the gravitational force between two masses is given by

the diagram of the given problem is as shown below:

The angle in above diagram is  

Now,

The Forces are

which gives us

Similarly

which gives us

The net force on x axis is

which gives us

Now

which gives us

and

which gives us

the net force in y direction is

which gives us

Therefore the magnitude of the net force is

by plugging the values we get

which gives us

and the direction of the net force is

thus

which gives us