**Attraction Force Calculator**

Enter the values of the gravitational constant, G_{(N.m2/kg2)}, masses, m_{1(kg)} and m_{2(kg)} and distance, d_{(m)} to determine the value of Attraction Force, AF_{(N)}.

**Attraction Force Formula**

The calculation of the attraction force between two masses utilizes the gravitational constant to quantify the force that pulls the two objects towards each other.

Attraction Force, AF_{(N) }in Newtons is calculated by multiplying the gravitational constant, G_{(N.m2/kg2) } in Newton metre square per kilogram square with the product of the masses of the two objects, m_{1(kg)} and m_{2(kg)} in kilograms and then dividing by the square of the distance between their centers, d_{(m)} in metre square.

Attraction Force, AF_{(N)} = G_{(N.m2/kg2)} * m_{1(kg)} * m_{2(kg)} / d^{2}_{(m)}

AF_{(N)} = attraction force in Newtons, N.

G_{(N.m2/kg2)} = gravitational constant in Newton metre square per kilogram

square, N.m^{2}/kg^{2}, approximately 6.674×10^{-11} N.m^{2}/kg^{2}.

m_{1(kg)} and m_{2(kg)} = masses in kilograms, kg.

d_{(m)} = distance in metres, m.

__Attraction Force Calculation:__

- Calculate the gravitational attraction force between two masses of 1000 kg and 500 kg separated by a distance of 10 metres.

Given: G_{(N.m2/kg2)} = 6.674×10^{-11} N.m^{2}/kg^{2}, m_{1(kg)} = 1000kg, m_{2(kg)} = 500kg, d_{(m)} = 10m.

Attraction Force, AF_{(N)} = G_{(N.m2/kg2)} * m_{1(kg)} * m_{2(kg)} / d^{2}_{(m)}

AF_{(N)} = 6.674×10^{-11} * 1000 * 500 / 10^{2}

AF_{(N)} = 3.337 * 10^{-7} / 100

AF_{(N)} = 3.337 * 10^{-9}N.

- The gravitational force between two masses is 0.0001Newtons. The distance between the two masses is 10 metres. The mass of the second object is 1000kg. Find the mass, m
_{1(kg)}.

Given: G_{(N.m2/kg2)} = 6.674×10^{-11} N.m^{2}/kg^{2}, AF_{(N)} = 0.0001N, m_{2(kg)} = 1000kg,

d_{(m)} = 10m.

Attraction Force, AF_{(N)} = G_{(N.m2/kg2)} * m_{1(kg)} * m_{2(kg)} / d^{2}_{(m)}

m_{1(kg)} = AF_{(N)} * d^{2}_{(m)} / G_{(N.m2/kg2)} * m_{2(kg)}

m_{1(kg)} = 0.0001 * 10^{2 }/ 6.674×10^{-11} * 1000

m_{1(kg)} = 0.01 / 6.674×10^{-8}

m_{1(kg)} = 1.498 * 10^{5}.