The force F of attraction between two bodies varies jointly as the weights of the two bodies and inversely as the square of the distance between them. Express this fact as a variation using c as a constant. Use M1 and M2 for the weights of the two bodies.

The force F of attraction between two bodies varies jointly as the weights of the two bodies and inversely as the square of the distance between them. Express this fact as a variation using c as a constant. Use M1 and M2 for the weights of the two bodies.

That's Newton's Law of Gravitation. Since it varies directly with M1 and M2 and inversely with the square of the distance, we have: F \alpha \frac{M_1 M_2}{d^2} Where alpha means that Force is proportional to that. [ But we need a constant, known as proportionality constant, to make the equation true. So: F = c \frac{M_1 M_2}{d^2}
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The force F of attraction between two bodies varies jointly as the weights of the two bodies and inversely as the square of the distance between them. Express this fact as a variation using c as a constant. Use M1 and M2 for the weights of the two bodies.