I was recently working on the two body problem and what I can say about solutions without solving the differential equation. There I came across a problem:
Lets consider the Kepler problem (the two body problem with potential ~1/r^2). If I use lagrangian mechanics, I get two differential...
So my doubt is at the beginning of the problems hey are saying that the ball obeys stokes law and on the latter part of the question they are saying that no buoyant force is acting then how does the velocity of the ball change in the end?
Also what is the use of specifying 'the ball never...
So I already have a solution available to this problem and the link for the solution is:
I have understood everything in the video except the part where they are equating the force
dF=GM/r²*dm
According to my reasoning the inner part of the sphere (the part below the dm element we have taken)...
suppose suddenly the sun disappears at a time t. at this arbitrary time t, the earth should fling off tangentially to the point in its orbit at time t as there is no centripetal force keeping it in orbit.
we know light takes about 8 minutes to reach the earth.
so will humans on earth experience...
The value of acceleration due to gravity at a depth 'd' inside the earth is given by-
g' = g(1 - d/R)
which can also be written as
g' = g(x/R) from the diagram
so that x'' = (w2)x
where w2 = g/R is the angular frequency
Hence the time period T is given by
T = 2π sqrt(R/g)
but the question...
I can say that the frictional force always against the rolling sphere and the velocity is increasing for the ball. So The dot product F.v keeps on getting more and more negative, so how can the Pf remain constant? Well the velocity increases along the incline and the force of gravity is down...
Hi,
starting from this very interesting thread
I'm still a bit confused about the conclusions.
The main point, as far as I can understand, is all about conditions for a quadrilateral to be considered a parallelogram.
My first basic doubt is: the concept of 'parallel' applies just to geodesic...
Homework Statement: Henry Cavendish succeeded in measuring the value of the constant "G" way back in the late 1700s. His method was to put two known masses at a known distance and measure the attractive force between them; then he could use Newton's Law of Universal Gravitation to find "G"...
Homework Statement: The particle is moving in circular orbit such a way that the net force (F) is always towards the point p (point p is on the circumference of circle). Find the variation of force F with respect to r.
i.e find the value of n in the expression F=kr^n
Homework Equations: F=kr^n...
Nieuwenhuizen uses a method for calculating the propagator by decomposing the field ## h_{\mu\nu}, ## first into symmetric part ## \varphi_{\mu\nu} ## and antisymmetric part ## \psi_{\mu\nu} ##, and then by a spin decomposition using projector operators. Using this he writes the dynamical...
Okay, so let's simplify things and look at the ideal case, where the 2 masses are the same. Well, this gives us a sine wave pattern to the orbital velocity. Consequently, the acceleration would follow a cosine wave since the derivative of velocity is acceleration and the derivative of sine is...
Why do we use the equation ##\frac {1}{2}mv^2 = \frac {GmM}{r}## to derive potential velocity, and then put that in the Lorentz factor in order to derive gravitational time dilation? Shouldn't we be using the relativistic definition of kinetic energy -> ##mc^2(\gamma - 1)## to derive the...
Homework Statement
In the far future, humans have built a space elevator as a cheap
means of access to space. However before that could be done, a few basic principles had to be
worked out. . .
a)
What is the minimum initial speed (in an Earth-centered inertial reference frame) needed
for an...
Homework Statement
There is an infnite high hydrostatic head in an infite high tank on the surface of earth. How big is the pressure p(r) in tank at a distance r. Ignore the rotation of the earth and assume the water stays liquid. ( So basically ignore it's an impossible scenario )...
I have been googling this topic for some time, but I still don't know if this is still an unsolved mystery of physics (it's just so) or if there is a deeper underlying theory.
I get the idea that mass/energy distorts spacetime, justified by thought experiments with moving objects and photons...
I recently watched a video on youtube where a guy fires a 50 cal. rifle straight up into the air and measures the time of flight at about 100s. It got me thinking about what altitude the round reached. So I used the kinematics equations and obtained a value of 12.25km. Amazing, but I wondered...
Homework Statement
The distance between the centres of the earth and the moon is 60 times the radius of the earth. Calculate the centripetal acceleration of the moon. Acceleration due to gravity on the Earth's surface is 10m/s.
Homework Equations
Centripetal acceleration= v^2/R
Orbital...
Can someone please show that calculation of gravitational potential energy at a point R+h from the centre of the earth by choosing the centre of the earth to be at zero potential. Here R is the radius of the earth and h is not very small wrt to R
okay, so I’ve had this random thought. We have all been told that objects fall to the ground at the same speed, even if they have different masses. While it’s true that any two objects, regardless of mass, will accelerate towards Earth at the same speed, that doesn’t mean the Earth is...
Homework Statement
I'm working on a generalization of gravitation to n dimensions. I'm trying to compute gravitational attraction experienced by a point mass y due to a uniform mass distribution throughout a ball of radius a -- B(0, a).
Homework Equations
3. The Attempt at a Solution [/B]...
Homework Statement
Hi I'm attempting to derive the gravitational potential energy of a point mass (##m##) that's moving from infinity to a point r' inside a gravitational field produced by a another mass ##M##. For simplicity I treated it as a one dimensional case. The problem I get is that the...
Homework Statement
A binary stellar system is made of one star with ##M_1=15{M}_\odot## and a second star with ##M_2=10{M}_\odot## revolving around circular orbits at a relative distance of ##d=0.001pc##. At some point ##M_1## explodes in a supernovae leaving a neutron star of mass...
Homework Statement
We have a crate sitting on a scale that is on the surface of the Earth. We want to come up with the value of the acceleration due to gravity, ## g ##, when we take into consideration the rotation of the Earth.
Homework Equations
In the book, here's how they go about this...
Homework Statement
##\alpha##-Centuary is in a binary visual system with another star. Their separation, from their CM, is 8.0'' and 9.7''. The distance from the Earth is 1.31pc. Their revolution period around the CM is 80.1 years. I have to find masses and luminosities for each star.
Homework...
I have a simulation I'm trying out (for fun). A self-gravitating ball of gas, in deep space. (The sim uses a fixed-time-step for each iteration.)
I'd like to use Boyles Ideal gas law, the force of gravity, and energy as internal heat. (I don't want to touch enthalpy unless I don't realize...
Homework Statement
A pendulum having a bob of mass ##m## is hanging in a ship sailing along the equator from east to west. If the ship sails at speed v what is the tension in the string?. Angular speed of earth's rotation is ## \omega ## and radius of the earth is ## R ##
Homework Equations...
Homework Statement
Homework Equations
The Attempt at a Solution
I think : the question means that almost all of the potential energy gets used into the explosion.
If this is true then the potential energy gets reduced by ## \frac { GM^2} R ## or if the star just gets transformed into a...