Mathematics Stack Exchange
Mathematics Stack Exchange

Questions tagged [physics]

Questions on the mathematics required to solve problems in physics. For questions from the field of mathematical physics use (mathematical-physics) tag instead.

This tag is for questions on the mathematics required to solve problems in physics and should not be confused with those on physics concepts. Pure physics questions should go in the Physics Stack Exchange. For questions in the field of mathematical physics, please use the tag instead.

5951 questions
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Uncertainty in Acceleration given the uncertainty in position

I had a motion detector record the position of a dynamics cart and automatically plot Position vs Time and Velocity vs Time plots in Logger Pro on the computer. If the instrument uncertainty in position x was given by $\pm0.05$ (or more generally…
Zugzwang14
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(Geometry-Physics) Given a radius and velocity calculate position of an aircraft banking to make a turn in three dimensional space

I have a radius, R, for an aircraft traveling at velocity, V. If we start at a point, $(X,Y,Z)$, what is the position of the point at the time, t in terms of coordinates $(X_1,Y_1,Z_1)$? For example: The aircraft is at point $(0,0,0)$ and traveling…
Abdul
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Period of a dropped ball in Conservation of Mechanical Energy

The total mechanical energy is conserved when a ball is dropped from a height of 4.00 $\mathit{m}$, and it makes a elastic collision with the ground. Assuming no non-conservative forces are acting find the period of the ball. g of course is…
Jose M Serra
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The traveling time of two cars

Two cars $P , Q$ are moving in the same direction along the same straight horizontal road .Car P is moving with constant speed $25 m s^{-1}$ . At time $t = 0$ ,P overtakes Q which moving with constant speed $20 m s^{-1}$ . From $t= T$ seconds ,P…
Hussien Mohamed
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A simple collision problem with a not so simple (to me) solution. I could use some help.

I know this is a Physics problem and the Physics is fairly simple, but the equation I need to solve seems a bit more difficult than I anticipated. I'm curious if there is a different approach to solving this problem mathematically and/or a more…
ahayes24
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deriving a differential equation for projectile motion

We have a projectile, which we will consider spherical, of radius $r$ density $\rho_m$ and mass $m$, and we begin by firing it from a point $(0,h_0)$ at an initial velocity $v_0$ at an angle $\theta_0$. From this we can say…
Henry Lee
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How can I proof or demonstrate mathematically that solid angle integral from a point outside a closed surface is zero?

I would like to know how can I proof or demonstrate mathematically that solid angle integral from a point outside a closed surface is zero. How can this be done? I have already demonstrated the value of $4\pi$ for a point inside. In this case, I…
Vitor Hugo
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Questions about using mathematical methods to prove the Caratheodory's Concept of Temperature

First This is what I have saw in a thermodynamics textbook: ///////////////////Start of discussion///////////////////// "There are three homogeneous system,and their parameters of the equation of…
地山谦
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Particle Time Taken

A lecturer of mine gave me and my colleagues this question to solve. A particle is attracted towards a fix point $O$, with a force inversely proportional to its instantaneous distance from $O$. If the particle is released from rest, find the time…
Jesus Only
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Velocity Question height, maximum height

A projectile is fired upward from a height 200 ft, and reaches a maximum height of 400 ft. My Approach Using this equation: $$s(t)=s_0+v_0t+\frac{1}{2}gt^2$$ I plug in my knowns and get this following equation: $$400=200+v_0t+16t^2$$ I reduce it…
Jose M Serra
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Which formula for elastic collision?

When researching a bit about elastic collisions, I've been confused about how many different ways there are to do this. I've seen multiple methods, some of which are extremely complex (using sine and cosine) and some which are more simple. For…
Sarah
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Maximum kinetic energy of a particle

I'm having difficulty solving the following SHM problem A particle executes simple harmonic motion with amplitude $A=20cm$. At one instant it is at $+\frac{1}{4}$ the amplitude, moving away from equilibrium. At a time $0.5$ seconds later, the…
Anson Pang
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Understanding kinematics formula in two dimensions

Determine the angle of projection of a projectile if its speed at maximum height is $\sqrt{\frac{2}{5}}$ of its speed at half the maximum height. My solution: $$H_{max}=\frac{{v_0}^2\sin^2(\theta)}{2g}\implies…
Anson Pang
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How do you evaluate the tension force if the coefficient of friction between the objects K and L is $0.6$?

How do you evaluate the tension force if the coefficient of friction between the objects K and L is $0.6$? So the system is accelerating, whence we have to consider that $$\sum F_x = m_1a$$ $$F_k - T = 2a $$ $$\mu mg - T = 2a \implies 0.6…
Melz
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Finding force from a decelerating car (not stopping)

Driving home from school one day, you spot a ball rolling out into the street. You brake for 1.20 s, slowing your 950-kg car from 16.0 m/s to 9.50 m/s. (a) What is the average force exerted on your car during breaking? (b) How far did you travel…
Killian McCarthy
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