Answer:
r =![\frac{ 1 \pm \sqrt{ \frac{m}{M} } }{1 - \frac{m}{M} }](https://tex.z-dn.net/?f=%5Cfrac%7B%201%20%5Cpm%20%20%5Csqrt%7B%20%5Cfrac%7Bm%7D%7BM%7D%20%7D%20%7D%7B1%20-%20%5Cfrac%7Bm%7D%7BM%7D%20%7D)
Explanation:
Let's apply the universal gravitation law to the body (c), we use the indications 1 for the planet and 2 for the moon
∑ F = 0
-F_{1c} + F_{2c} = 0
F_{1c} = F_{2c}
let's write the force equations
where d is the distance between the planet and the moon.
(d-r)² =
d² - 2rd + r² = \frac{m}{M} \ \ r^2
d² - 2rd + r² (1 -
) = 0
(1 -
) r² - 2d r + d² = 0
we solve the second degree equation
r = [2d ±
] / 2 (1-
)
r = [2d ± 2d
] / 2d (1-
)
r =![\frac{ 1 \pm \sqrt{ \frac{m}{M} } }{1 - \frac{m}{M} }](https://tex.z-dn.net/?f=%5Cfrac%7B%201%20%5Cpm%20%20%5Csqrt%7B%20%5Cfrac%7Bm%7D%7BM%7D%20%7D%20%7D%7B1%20-%20%5Cfrac%7Bm%7D%7BM%7D%20%7D)
there are two points for which the gravitational force is zero
Radio waves and gamma rays thanks :)
Limestone, Sandstone, and Shale would be the answer.
Yes, entropy increases during sublimation. This is because, there is a change of phase from a solid state to a gaseous state which causes an increase in the disorderliness of the particles in the solid matter.