Question

(Gravitational Field Problem)

A spacecraft makes a trip from the Earth to the Moon, 380,000km (3.8E8m) away. At what point in the trip will the gravitational field be zero? The mass of the Moon is about (1/81) that of the Earth.

Answer 1

motion is influenced by gravity or motion can exists independetly

Answer 2

Things not influenced by gravity have motion, ie, photons; gravity is just an energy sink around which things agglomerate?

Answer 3

can u describe the term gravity is just

energy sink around which things agglomerate?

Answer 4

Erf mün systm



The gravitational field should be zero where the force of the Earth's gravitational field exactly equals that of the Moon's.
\[
R = 3.8 x 10^8m
\\ \
\\ \
r = \textrm{distance from moon to zero grav point}\]

\[ \sum F_r = -F_m + F_e = 0
\\ \
\\ \frac{G\frac{m}{81}m_o}{r^2} = \frac{Gmm_o}{(R-r)^2}
\\ \
\\ \
\\ \frac{r^2}{(R-r)^2} = \frac{1}{81}
\\ \
\\ \ \]

Solve for r

Look up Lagrange point #1 for a much more refined answer and approach ^_^