Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

the constant g in newtons equation view available hint(s) hint 1. what …

Question

the constant g in newtons equation
view available hint(s)
hint 1.
what does any constant in an equation usually accomplish?
was measured by newton
makes the units of measurement consistent
produces equilibrium
shows gravity to be a relatively huge force

Explanation:

Brief Explanations

In Newton's law of universal gravitation $F = G\frac{m_1m_2}{r^2}$, the gravitational constant $G$ is chosen such that the units on both sides of the equation match. For example, the force $F$ is in Newtons, masses $m_1$ and $m_2$ are in kilograms, and distance $r$ is in meters. The value of $G$ (with its units $\frac{N\cdot m^{2}}{kg^{2}}$) ensures unit - consistency. Newton did not measure $G$ (it was later measured by Cavendish). The constant $G$ is not related to producing equilibrium in the general sense of the word as used here, and gravity is actually a relatively weak force.

Answer:

B. makes the units of measurement consistent