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3 answers
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How much time does it take for an object to fall from space? [closed]

Let's say there's an object of mass $m$ in space, $h$ meters away from the surface of the Earth. $h$ is large enough that $g$ cannot be assumed to be constant. The acceleration varies according to ...
jazzblaster's user avatar
0 votes
3 answers
238 views

Equation of motion of a classic inverted pendulum in free fall

I was thinking in this interesting problem: Suppose we have this inverted pendulum: But without this control force $F$ and the system would by loose from a height $h_0$, with initial velocity $0$ ...
Vitor Figueredo Marques's user avatar
1 vote
1 answer
86 views

Exact distance travelled by an object due to gravity only

I am aware of the fact that for two point masses in space, the time that it will take for them to collide is, T=$\pi \sqrt{\frac{r_i^3}{8GM}}$, where M is the sum of the 2 bodies' masses, $r_i$ is the ...
Orlin Aurum's user avatar
0 votes
1 answer
319 views

Path of an object in gravitational field [duplicate]

How do you prove that path of a satellite or a planet is a second degree curve? In other words, how do you prove Kepler's law which states that planets move in elliptical paths?
Srikar Anand Yellapragada's user avatar
-2 votes
1 answer
250 views

Deriving an expression for the tangential velocity of a meteor orbiting the Earth? I have 2 expressions, not sure which is correct [closed]

"A meteoroid of mass $m$ is on a circular Earth orbit of radius $R$ which is a few (> 2) times larger than the radius of the Earth $R_E$. Derive an expression for the meteoroid's speed. State the ...
Pancake_Senpai's user avatar