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moonman239
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I want to build a scale that measures weight diff by how far the two weights have to be from the center in order to be balanced.
The equation for determining weight difference given distances to center is derived from the law of universal gravitation, which states that the force of gravity between two objects is directly proportional to their masses and inversely proportional to the square of the distance between them.
The variables in the equation are the masses of the two objects (m1 and m2), the distance between them (r), and the gravitational constant (G). The units used are kilograms (kg) for mass, meters (m) for distance, and Newtons (N) for force.
Yes, the equation can be used for objects of any size as long as their masses and distances are known. However, it may not be accurate for extremely large or small objects, as other factors like the curvature of space and time may need to be taken into account.
The equation assumes that the mass of an object is concentrated at its center. For objects with a non-uniform mass distribution, the equation may need to be modified to take into account the mass distribution.
Yes, the equation can be used to determine weight differences on other planets as long as the masses and distances of the objects are known. However, the value of the gravitational constant (G) may vary on different planets, which would affect the calculations.