What is the SI unit of G—the universal gravitation constant?
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A.
N kg / m²
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B.
N kg / m
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C.
N m² Kg-2
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D.
N / m
Correct Answer:
C. N m² Kg-2
Explanation:
The SI unit of the universal gravitational constant (G) is N m2 kg-2. This can be derived from Newton's Law of Universal Gravitation, which is expressed by the formula F = G(m1m2/r2). In this equation, F represents force in Newtons (N), m1 and m2 are masses in kilograms (kg), and r is the distance in meters (m). To find the units for G, the formula is rearranged to G = Fr2 / (m1m2). By substituting the corresponding SI units, we get (N * m2) / (kg * kg), which simplifies to N m2 / kg2, or N m2 kg-2. Therefore, this unit ensures the gravitational equation remains dimensionally consistent.
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