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What is the difference between weight and gravitational force? I am a beginner who want to study physics properly.

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Newton law of gravitation is given by:

$$F = G \frac{m_1 m_2}{r^2}=\left(G \frac{m_1}{r^2}\right) m_2$$

The gravitational constant, $G$, the weight of Earth, $m_1$, and the radius are constants, so:

$$G \frac {m_1}{r^2}=(6.6742 \times 10^{-11}) \frac{5.9736 \times 10^{24}}{(6.37101 \times 10^6)^2}=9.822$$

Hence, the equation simplifies to

$$F =(9.822) m_2$$

where 9.822 is the gravitational acceleration, $g$. Therefore you obtain the equation $W = mg$.

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See the wiki page . There is no difference between the two . Weight of a body of mass $M$ is $M.g$ which is equal to gravitational force on the body.

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