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Newton’s law of universal gravitation is formulated in the following manner: Any two material particles attract each other with a force directly proportional to the product of their masses and inversely proportional to the square of the distance between them. In other words, the magnitude of the force of attraction is expressed by the formula 2 F=k m1 m2\r , Where F is the force of attraction, m1 and m2 are the masses of both particles, r is the distance between them, and k is the factor of proportionality (the constant of universal gravitation). According to the law of equality of action and reaction, the force with which the first particle attracts the second is equal in magnitude and opposite in direction to the force with which the second particle attracts the first. Both of the forces act along a straight line connecting the given particles. It is evident that the factor of proportionality is numerically equal to the magnitude of the force of attraction of two particles with masses equal to unity and at a unit distance from one another. The choice of the units of the measurements is arbitrary. The centimeter-gram-second system of units used in physics is not convenient for the study of the motion of astronomical bodies, where mass and distance are expressed by huge numbers in these units. It is shown in the theory of potential how bodies of finite dimensions attract one another. Formulas derived there find application in theoretical astronomy when it is necessary to consider the motion of bodies during their immediate approach to one another. In general, however, one may consider that bodies of the solar system attract one another mutually as material points.
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1 How is Newton’s law of universal gravitation formulated?
2 The magnitude of the force of attraction is expressed by the formula 2 F=k m1 m2\r, isn't it?
3 What does the law of equality of action and reaction mean?
4 Is the factor of proportionality numerically equal to the magnitude of the force of attraction of two particles with masses equal to unity and at a unit distance from one another?
5 Why is the centimeter-gram-second system of units not convenient for the study of the motion of astronomical bodies?
6 What theory shows how bodies of finite dimensions attract one another?
7 Where are formulas of potential theory applied?
2 The magnitude of the force of attraction is expressed by the formula 2 F=k m1 m2\r, isn't it?
3 What does the law of equality of action and reaction mean?
4 Is the factor of proportionality numerically equal to the magnitude of the force of attraction of two particles with masses equal to unity and at a unit distance from one another?
5 Why is the centimeter-gram-second system of units not convenient for the study of the motion of astronomical bodies?
6 What theory shows how bodies of finite dimensions attract one another?
7 Where are formulas of potential theory applied?
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