Question

multiple choice question
astronomers learned about the planet neptune even before it was ever observed by using the ______ to calculate its orbit.
o law of universal gravitation and laws of motion
o universal gas laws and law of universal gravitation
o laws of thermodynamics and laws of motion

Explanation:

Newton's law of universal gravitation and laws of motion are fundamental in celestial mechanics. The law of universal gravitation ($F = G\frac{m_1m_2}{r^2}$) describes the gravitational force between two masses ($m_1$ and $m_2$) separated by a distance $r$, with $G$ as the gravitational constant. The laws of motion (e.g., $F = ma$) relate force ($F$), mass ($m$), and acceleration ($a$). By applying these, astronomers can calculate orbital mechanics. Universal gas laws relate to gas behavior (e.g., $PV = nRT$ for ideal gases), and laws of thermodynamics deal with heat, work, and energy transfer in systems. These are not relevant to calculating planetary orbits.

Answer:

law of universal gravitation and laws of motion