# Tagged Questions

Questions related to mathematical physics which include application of mathematics to problems in physics and the development of mathematical methods suitable for such applications and for the formulation of physical theories

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### Acceleration: If I know distance, time, and initial velocity, what's acceleration and final velocity?

So I know the Initial Velocity ($V_i$), Time ($t$), and Distance ($d$). I know that $$d = V_it + \frac{1}{2} at^2$$ If I rearrange this, would acceleration $a = \dfrac{2(d - V_it)}{t^2}$ ? Then ...
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### Trigonometric function with a theoretical scenario used to find missing variables?

For my pre-calculus class I am given a theoretical scenario and I am tasked with finding the different time(s) an object within the scenario will be "x" inches above equilibrium. The prompt given to ...
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### Power of a signature (sum of squares divided by number of elements)

I need to find some literature to study the theory of an exercise I am working on (it is from a course in digital image processing and pattern recognition). I have an $n\times n$ matrix, I have to ...
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### How a “pillbox” can be considered as a Gaussian surface?

I'm currently practicing how to use Gauss's Law to evaluate electric flux passing through a Gaussian surface, but how a "pillbox" can be considered as a Gaussian surface, although it is not a smooth (...
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### Question about forever acceleration on a pendulum

So i'm a bit confused about something. If we take a mathematical pendulum and we apply a force to it. We ignore all friction and air resistance and only consider gravity and the force applied to bob. ...
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### Finding the electric and magnetic field outside a cylindrical conductor.

A cylindrical conductor with constant circular cross-section and uniform conductivity $\sigma$ has a steady current I that is uniformly distributed across the cross-section flowing through it. Find ...
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### Escape velocity

Calculate the escape velocity from a white dwarf and a neutron star. Assume that both the white dwarf and the neutron star is 1 solar mass. Let the white dwarf’s radius be $10^{4}$ kilometres and the ...
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### What is the gravitational potential of an ellipsoid at $0$?

What is the gravitational potential of an ellipsoid at $0$? Given an ellipsoid: $\frac{x^2+y^2}{a^2} +\frac{z^2}{c^2} \leq 1,$ and a uniform density of mass: Using spherical coordinates, and the ...
I don't know how to make $3$D vector of speed from azimuth and speed. Azimuth is in degree and speed is in m/s. Azimuth is angle on $X$ and $Y$. Thank you for your help!