What is Reduced mass: Definition and 25 Discussions
In physics, the reduced mass is the "effective" inertial mass appearing in the two-body problem of Newtonian mechanics. It is a quantity which allows the two-body problem to be solved as if it were a one-body problem. Note, however, that the mass determining the gravitational force is not reduced. In the computation, one mass can be replaced with the reduced mass, if this is compensated by replacing the other mass with the sum of both masses. The reduced mass is frequently denoted by
μ
{\displaystyle \mu }
(mu), although the standard gravitational parameter is also denoted by
μ
{\displaystyle \mu }
(as are a number of other physical quantities). It has the dimensions of mass, and SI unit kg.
A deuteron is a bound hexaquark. Since both triquarks have severally masses of about 940 MeV, the reduced mass of a deuteron is under 470 MeV.
Deuteron is bound... but only feebly. It has only one bound state: ground state orthodeuteron. All excited states of orthodeuteron are unbound...
Hello
I am trying to understand how to write the reduced mass into atomic mass units but i am confused how it was done.
The equation is
$$m_1m_2/(m_1+m_2)$$
For two similar masses in my particular case i have:
$$m^2 / 2m = 1/2 * m$$
Then to convert to atomic mass units, the book says it...
Homework Statement .
True or False:[/B]
For a completely elastic collision of two isolated masses the energy lost is
½μνr2
Where μ is the reduced mass of the system and νr is the magnitude of relative velocity between the two particles.
Homework EquationsThe Attempt at a Solution
Elastic...
Is there an effect of reduced mass on the orbital g factor? In Bethe and Salpeter (1957) Quantum Mechanics of One and Two Electron Atoms p214, it mentions a reduced mass effect on ##g_L = \frac{\mu}{m_e}##. (At least, that's what my notes said. I don't have Bethe and Salpeter in front of me...
In planetary motion, the reduced mass of a system \mu is used in order to study the motion of the planet m in the non-inertial frame of the star M. Using \mu the trajectory of m turns out to be a conic. But this is the trajectory of the planet m as seen from the star M, correct?
I read that in...
Homework Statement
A muon is a particle with a charge equal to that of an electron and a mass equal to 207 times the mass of an electron. What is the radius and energy of the ground state of hydrogen if the electron is replaced with a muon? Don't forget to use the concept of reduced mass...
According to the concept: when a planet revolves around a star, and when both the bodies move in circular orbits due to the interaction between each other, both the bodies can be replaced by a single body of mass ##\mu## revolving in a circular orbit of radius equal to the distance between both...
I know it's probably simple but I just don't understand reduced mass.
I am trying to work out the reduced mass of 4He+.
m = memN / me + mN
Can somebody please just explain step by step what I do. This is only a segment of a 1 mark question and I'm getting my knickers in a frustratingly twisty...
1. Insert a bar of copper of m(gram) into (HCl + H2O). After a while, its weight become m_1 (gram) which is smaller than m. Explain why and give a general formula to find m_1
2. None
3. I keep thinking how that becomes possible, because I learn that Cu can't react with HCl+H2O
Homework Statement
The Concept of the reduced mass was introduced
Homework Equations
What is the application for the μ,which we have to learn, in questions like in shm or collision
So i was just wondering if you could show me some examples where in the concept of reduced mass has...
Homework Statement
Derive m*= mM/(m+M) *hint* total angular momentum Iω=m*r2ω equals the sum of the individual angular momenta, where r = re + rn; re and rn are the distances of the electron and nucleus respectively from the center of mass.
Homework Equations
Angular Momentum = mvr...
I am the president of the Physics club at my high school. One of our members came up with a very interesting hypothetical. He asked each of us to re-write the famous Newtonian equation for motion, F=MA(force equals mass times acceleration). Here's the question we are all trying to answer, if...
Ok. The Lande' g-factor is given as
g = g_L \frac{J(J+1)-S(S+1)+L(L+1)}{2J(J+1)} + g_s\frac{J(J+1)+S(S+1)-L(L+1)}{2J(J+1)}
Most sources say that g_L = 1 exactly, but Bethe and Salpeter p214 seems to indicate that there should be a correction for reduced mass. g_L = 1- \frac{m_e}{m_i}
Is...
I understand that the reduced mass is used to simplify a two-body problem into a one body problem, so that instead of calculating two masses rotating around a common center as in the Earth and moon, you can treat the Earth as stationary, and then used a "reduced" mass for the moon in the...
I want to know in which types of problem this reduced mas μ=m1*m2/(m1+m2) is used . All i know that it is closely related to center of mass of the system but don't know exactly where to use it?
Homework Statement
I want to calculate the reduced mass of a molecular ion, NO^{+} (singly-ionized nitrogen monoxide molecule) in atomic units. My question is, how would I take into account the missing electron in this calculation.
Homework Equations
mass of N in a.u. is about 25525...
[SOLVED] reduced mass?!
Hi there,
I know the reduced mass is defining with the below formula:
\frac{1}{\mu} = \frac{1}{m _{1}} + \frac{1}{m_{2}} + ...
In Bohr's radius when i want to find the \mu i use the
m1 = mass of electron
m2 = mass of poroton
but what if i need to find...
Homework Statement
We have a collision between a finite mass steel ball and an infinite mass steel wall and must find the maximum compression if we are given the mass of the ball, the initial speed and the constant b (See eq. below).
Homework Equations
We know that the maximum...
Does anyone know how to actually derive the reduced mass formula? I have to prove the formula: inertia = (reduced mass)r^2 and am having some difficulties.
To be more specific I'm working with the inertia between to atoms where r is the bond length.
Any help with this is much...
Two particles of mass m1 and m2 are joined by a massless spring of natural length L and force constant k. Initially, m2 is resting on a table and I am holding m2 vertically above m2 at a height L. At time t=0, I project m2 vertically upward with initial velocity v0. Find the positions of the two...