All Questions
Tagged with newtonian-gravity classical-mechanics
112
questions
4
votes
2
answers
252
views
What is definition of weight of person in elevator moving with acceleration?
I have a question, I need your help with understanding definitions. Let's recall the famous problem:
What is the weight of the person mass m, if the elevator moving up with acceleration a?
of course,...
- 55
1
vote
1
answer
435
views
How to calculate the sphere of influence of a planet?
I'm making an orbit simulator, and to make it simpler, I'm only simulating one celestial object(planet, moon, sun) acting on each object(sattelite).
So that the sattelites and rockets can switch ...
- 13
-1
votes
1
answer
67
views
Virial theorem for two particle inelastic collision
Consider two point masses separated by a large distance R so that their initial potential energy can be considered 0. They are both at rest with respect to the Centre of Mass (COM) reference frame so ...
- 101
9
votes
2
answers
741
views
Can the equivalence principle be safely used in non-relativistic mechanics?
Imagine an ideal pendulum in a train. While the train is in uniform motion, Newton's laws apply within the train, and we can easily write down the equations of motion for the pendulum. Now assume the ...
- 9,304
1
vote
3
answers
340
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Is it the gravitational field created by an object which exerts force on another object or the interactions between their fields that exerts force?
We are taught that Gravitational force exerted by an object is a two-step process:
The object creates a field around it.
The field exerts a force on bodies present in the field.
Now, since we know ...
0
votes
1
answer
84
views
Why does this volume integral vanish?
I am stuck on this problem concerning the gravitational potential of a body. The body has a mass density $\rho(\mathbf x)$ and I have to calculate a contribution to the total gravitational potential ...
- 373
2
votes
2
answers
582
views
Expression for force of gravity on an arbitrary curve with endpoints fixed
Consider the following problem:
A frictionless tube lies in the vertical plane and is in the shape of a function that has its endpoints at the same height but is otherwise arbitrary. A chain with ...
- 21
3
votes
3
answers
140
views
Perpetual motion: Conditions for rolling a wheel sliding on a bar [closed]
This is a basic question about energy conservation and classical mechanics:
Question: Under what situations can this motion be perpetual?
Without gravity and without frictions.
Without gravity and ...
- 4,336
1
vote
2
answers
266
views
Is there an equation for the gravity of Earth that accounts for a comprehensive set of variables?
(e.g., longitude/latitude, elevation, and Earth’s mass and rotational speed)
I know a couple of approximations for the gravity due to Earth’s mass. The usual one I’ve been given is $g \approx 9.8 \, \...
- 111
0
votes
1
answer
146
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Why Copernicus frame can be considered to be inertial for planetary motion?
In the standard courses of classical mechanics inertial reference frame is defined as a frame with respect to which every free material point, i.e. not interacting with other bodies or fields, moves ...
- 2,226
1
vote
1
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33
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The potential energy of universal gravitation with dynamic mass
Everyone knows that the potential energy is generally represented by -GMm/r.
Now, consider the M will decrease or increase depending on time or the m's position (we can think m moves in v). What will ...
- 11
1
vote
1
answer
174
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Angular momentum and star system in space with four spatial dimensions
I came across a YouTube Video by minutephysics, a YouTuber with a Ph.D. degree in physics. In this video, he explains that the solar system is approximately flat because of two reasons:
1) ...
- 113
0
votes
1
answer
296
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?
0
votes
1
answer
240
views
Toppling over of a body
Why does a body topple over only when the perpendicular from its centre of gravity does not pass through its base?
I had read a paragraph on it from a book by Y. Perelman. I did find a half-...
- 496
1
vote
1
answer
65
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Does the Laplacian of any scalar gravitational field vanish outside the source?
Besides the common spherical symmetric gravitational field, there are 2 classical examples: infinite plane and infinite wire.
For spherical symmetrical and infinite plane, the Laplacian of the field ...
- 16.7k