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Two Planets Have Masses M and M, and the Ratio

question 70

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  Two planets have masses M and m, and the ratio M/m = 25. The distance between the planets is R. The point P, is between the planets as shown, and the distance between M and P is x. At P the gravitational forces on an object due to M and m are equal in magnitude. The value of x is A)  5R/6 B)  25R/36 C)  R/25 D)  6R/5 E)  None of these is correct. Two planets have masses M and m, and the ratio M/m = 25. The distance between the planets is R. The point P, is between the planets as shown, and the distance between M and P is x. At P the gravitational forces on an object due to M and m are equal in magnitude. The value of x is

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Definitions:

Theory of Consumer Choice

An economic framework explaining how consumers make decisions to allocate their resources among various goods and services.

Tradeoffs

The concept of sacrificing one benefit or good in order to gain another, reflecting the necessity of making decisions between competing priorities.

Indifference Curves

Graphical representations in economics, showing different combinations of two goods among which a consumer is indifferent, revealing preferences and trade-offs.

Perfect Substitutes

Products or services that can be used in exactly the same way, to the extent that one can replace the other in consumption without affecting utility.

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