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Results tagged with homework-and-exercises
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user 141093
Applies to questions of primarily educational value - not only questions that arise from actual homework assignments, but any question where it is preferable to guide the asker to the answer rather than giving it away outright. Please READ THE GUIDANCE IN META before asking homework-like questions.
0
votes
1
answer
85
views
Why can't I derive the rocket equation this way?
Suppose I'm considering both the rocket, its unburnt fuel and the exhaust all of them combined as my system. Also suppose that the rocket was initially at rest. Then according to momentum conservation …
- 2,020
3
votes
0
answers
128
views
Is it possible to guess this solution just by looking at the system? [closed]
Show that, if a projectile is shot from a height $h$ with speed $v_0$, the maximum range is obtained for launch angle $\theta=\arctan\left(\dfrac{v_0}{\sqrt{2gh+v_0^2}}\right)$
For the problem sh …
- 2,020
0
votes
Accepted
Maxwell- Boltzmann's law of distribution of speeds
From what I can see from the graph it seems that
$$\frac{dN}{dv} = \frac{a}{v_0}v$$
and so the average value of $v$ should be
$$v_{avg} = \frac{1}{N} \int_0^{v_0}{v dN}$$
$$ = \frac{a}{Nv_0} \int_0^{v …
- 2,020
0
votes
1
answer
444
views
Pendulums in inertial and non-inertial frames
If I have a non-inertial frame accelerating with acceleration $A$ with respect to an inertial frame and if I have two pendulums, one in the inertial frame and the other in the non inertial frame, then …
- 2,020
5
votes
Velocity and kinetic energy, violating galilean relativity
The work done by the battery is frame dependent. In order to make my point and to simplify the math, I'm assuming that the battery does work by applying the force on a single point, instead of applyin …
- 2,020
1
vote
When exactly does the velocity of a cart change?
The cart does not accelerate further after the men jump. The same goes for the men. So just as the men leave the cart, it's velocity is $v_f$. That's why you add the final velocity and not the initial …
- 2,020
4
votes
1
answer
98
views
Trying to show new matrix elements of momentum operator after unitary transformation of $|x ...
The problem is this. Given that I have a new x basis
$$|\tilde{x} \rangle = e^{i g(X)/ \hbar} |x\rangle$$
I have to show that
$$\langle \tilde{x} | P | \tilde{x}' \rangle = \left(-i \hbar \frac{d}{dx …
- 2,020
0
votes
How to compute classical probability distribution for 1D harmonic oscillator with $K/x$ (cen...
To find the probability density you need to have an intuitive understanding of the motion under the force. For the harmonic oscillator, the particle is always oscillating from $x=-A$ to $x=+A$. Each c …
- 2,020
0
votes
1
answer
104
views
Ambiguous Constraint equation
This is from the solution manual of some problem of Kleppner's book. I didn't understand how the constraint equation came about to be. First of all, I don't see how that equation is equal to the lengt …
- 2,020
0
votes
2
answers
111
views
Possible mistake in the solutions? [closed]
This is from Kleppner's introduction to mechanics and I've been having trouble making sense of the solution in the solution manual for quite a while and I've concluded that its wrong but I need some s …
- 2,020
1
vote
3
answers
210
views
Is friction different when viewed from a non-inertial frame?
I encountered this diagram when reading an explanation about why the front wheels of cars lift up when they accelerate. The diagram is in the reference frame of the car, so that there is a fictitious …
- 2,020
0
votes
Conversion of 1D charge density to 2D charge density via integration
$\sigma$ can be written as $dq/(dxdy)$ in cartesian coordinates. So when you take the limit that the rectangle of area $dxdy$ approaches a line by for example taking the limit $dx \to 0$, $\sigma$ blo …
- 2,020
2
votes
Derivation for optical path length and the origins of the formula
The quantity $ns$ has a physical meaning. I think that's what you're trying to figure out. If light travels a distance $s$ through a medium with refractive index $n$ in a time $T$, then the distance l …
- 2,020
1
vote
1
answer
141
views
Question regarding interaction picture [closed]
$$\newcommand{ket}[1]{\left|#1\right>}$$The relation between the interaction picture and Schrödinger picture states and operators are
$$\ket{\psi(t)}_{I} = e^{iH_0t} \ket{\psi(t)}_S$$
$$\mathcal{O}_I …
- 2,020
6
votes
Accepted
How can I show that in an elastic collision i can set $| \vec{v_2} - \vec{v_1} | = | \vec{v_...
I'm typing in mobile so I'm ignoring all the vector signs. The problem is to show that
$$a^2 + b^2 = c^2 + d^2$$
and
$$a + b = c + d$$
Gives you
$$|a - b| = |c-d|$$
From the second eq you get by squar …
- 2,020