# Newton's apple:universal gravitation

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F = G \frac{m_{\text{apple}} m_{\text{earth}}}{r^2}

Any two bodies are attracted by a force proportional to their mass and inversely proportional to their separation squared

The equation for universal gravitation thus

takes the form:

F=G\frac{m_{1}m_{2}}{r^{2}}

where F is the gravitational force acting between two objects,

m1 and m2 are the masses of the objects,

r is the distance between the centers of their masses,

and G is the gravitational constant.

F = G \frac{m_{\text{apple}} m_{\text{earth}}}{r^2}

modern from:

F=G{\frac {m_{1}m_{2}}{r^{2}}}

where

·F is the force between the masses;

·G is the Newtonian constant of gravitation (6.674×10−11 m3⋅kg−1⋅s−2);

·m1 is the first mass;

·m2 is the second mass;

·r is the distance between the centers of the masses.

F=G{\frac {m_{1}m_{2}}{r^{2}}}

F = G \frac{m_{\text{apple}} m_{\text{earth}}}{r^2}

F = G \frac{m_{\text{apple}} m_{\text{earth}}}{r^2}

modern from:

F=G{\frac {m_{1}m_{2}}{r^{2}}}

where

·F is the force between the masses;

·G is the Newtonian constant of gravitation (6.674×10−11 m3⋅kg−1⋅s−2);

·m1 is the first mass;

·m2 is the second mass;

·r is the distance between the centers of the masses.

F=G{\frac {m_{1}m_{2}}{r^{2}}}

F = G \frac{m_{\text{apple}} m_{\text{earth}}}{r^2}

·G is the Newtonian constant of gravitation

F = G \frac{m_{\text{apple}} m_{\text{earth}}}{r^2}

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A man reading under an apple tree.