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) / d²_(m)

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

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

square, N.m²/kg², approximately 6.674×10^-11 N.m²/kg².

m_1(kg) and m_2(kg) = masses in kilograms, kg.

d_(m) = distance in metres, m.

Attraction Force Calculation:

1. 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.m²/kg²,  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) / d²_(m)

AF_(N) = 6.674×10^-11 * 1000 * 500 / 10²

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

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

2. 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.m²/kg²,  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) / d²_(m)

m_1(kg) = AF_(N) * d²_(m) / G_(N.m2/kg2) * m_2(kg)

m_1(kg) = 0.0001 * 10² / 6.674×10^-11 * 1000

m_1(kg) = 0.01 / 6.674×10^-8

m_1(kg) = 1.498 * 10⁵.

Calculating Gravitational Attraction