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Momentum is proportional to an object's velocity, and kinetic energy is proportional to the square of its velocity $\dfrac{mv^2}{2}$. It's pretty intuitive that if object B is going twice as fast a...
If I have a rocket with some known number of engines $n$, each producing thrust with arbitrary direction $T_n$ and center of thrust $r_n$, the total thrust amount and direction $T_{total}$ is equal...
What is "disorder" in entropy? Entropy is measurement of "disorder". (Some says it's not "disorder") I had read "disorder" and "order" of entropy in my book. But I was wondering what "order" ...
I know that equation for parallel resistance is $$\frac{1}{r_{tot}}=\sum_i \frac{1}{r_i}$$ But i wonder to see equation of series spring constant. If we add multiple spring in series. Then their ...
The spring constant specifies force per compression distance. When you put multiple spring in series, the force on each spring is the same, which is also the overall force on the combined spring. ...
Back when what light is and how it propagates was poorly understood, people naturally related it to sound. Sound propagates thru a medium, like air. Light was therefore assumed to propagate thru ...
The electrons by themselves don't absorb or release this energy. They do that within the context of the atom they are within. The discrete energy levels available to electrons are only there due ...
I was reading about Ether, Maxwell and Young-double-slit experiment. I got a question about Ether law. Let me say what I read about Ether Law. Suppose, a boat is traveling with Adverse of Water ...
Scientists rarely rule anything out completely. That said, I expect it to be highly unlikely. Recall that Pluto was hypothesized in the late 1800s as the source of perturbations observed in the or...
One way this can be explained is from the perspective of numerically approximating an integral. From this perspective, the concordance of "continuous" and "low frequency" has to do with the low fre...
I'd say it's not the best design. Maybe that's why they discontinued it. However, there are also advantages. Cooling will be a little easier without a cover. But the real advantage is price. U...
What is semiholonomic is? Holonomic actually means two point can be expressed by a equation. Non-holonomic can be expressed but, not properly. Holonomic e.g. $r^2-a^2=0$ Non-holonomic e.g. $r^2-a...
I will use $m_0$ for rest mass in the answer and $m$ for relativistic mass. The main equation is, $$E^2=(m_0c^2)^2+(pc)^2$$ Here momentum is relativistic hence $p=\gamma m_0 v$ $$=(m_0c^2)^2+(\g...
It counters intuition that although a light fails to illumine the area between the source and the target, the light can still illumine SOLELY the target! The light is illuminating everything. The...
Your mistake is that you did a second derivative of $L$, taking the derivative according to both degrees of freedom together. Instead you need to make a separate equation for each degree of freedom...
The experience we had on the physics site Somewhere Else may be instructive (I've already written a little about it on Software Meta). In short, against my wishes they were allowed but because ther...
What will happen if an electron and a proton collide? They attract each other inside an atom. But, why they don't collide inside atoms? Does the "boundary" of the nucleus push them away? depends...
The third law says we will never find a particle accelerating unless there’s some other particle accelerating somewhere else. The other particle might be far away, as with the earth–sun system, but...
In general, the only way to do it is to solve the equation of motion. In simple cases, that can be done analytically (that is, you can find an explicit formula, but in most cases (outside problems ...
I was reading "Introduction to classical Mechanics" by David Morin. In that book they wrote that The third law says we will never find a particle accelerating unless there’s some other particle ...
It's easy enough to find examples. For example RF OOK modulation can be considered "digital" since it only has two states. Yet at the same time we can vary the carrier frequency, which can be cons...
Answering from the point of view of a particle physicist. Meaning we consider an event where and electron and proton approach each other in an initially free condition (not already bound). Electro...
To be optically equivalent, the lens made from lower index of refraction material needs to be thicker. My guess is that your optician thinks the metal grooved frames you want won't work well with ...
Let's say we have a single plate with liquid on both sides rising up due to surface tension. The meniscus formed has a radius of curvature $R$. I'm trying to find the excess pressure, i.e, the pre...
$L=T-U$ Here, $L$ is Lagrangian. T is kinetic energy. U is potential energy. But, what Lagrangian actually is? I know what Holonomic and non-holonomic is. But, I was thinking what the Lagrangian re...