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Question
- in the formula ( g = f/m = gm/r^2 ), what does “m” represent? a) mass of the orbiting body b) mass of the central body creating the field c) momentum of the object d) radius of orbit
The formula \( g=\frac{GM}{r^{2}} \) is the gravitational field strength formula, where \( G \) is the gravitational constant, \( M \) is the mass of the central body (like a planet or star) that creates the gravitational field, \( r \) is the distance from the center of the central body to the point where \( g \) is measured. Option A is incorrect as the mass of the orbiting body is usually represented by \( m \) in related formulas (like \( F = \frac{GMm}{r^{2}} \)). Option C is incorrect because momentum is \( p = mv \), not related to \( M \) here. Option D is incorrect as \( r \) represents the radius (or distance), not \( M \). So \( M \) is the mass of the central body creating the field.
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B) Mass of the central body creating the field