In physics (specifically in electromagnetism) the Lorentz force (or electromagnetic force) is the combination of electric and magnetic force on a point charge due to electromagnetic fields. A particle of charge q moving with a velocity v in an electric field E and a magnetic field B experiences a force of
F
=
q
E
+
q
v
×
B
{\displaystyle \mathbf {F} =q\,\mathbf {E} +q\,\mathbf {v} \times \mathbf {B} }
(in SI units). It says that the electromagnetic force on a charge q is a combination of a force in the direction of the electric field E proportional to the magnitude of the field and the quantity of charge, and a force at right angles to the magnetic field B and the velocity v of the charge, proportional to the magnitude of the field, the charge, and the velocity. Variations on this basic formula describe the magnetic force on a current-carrying wire (sometimes called Laplace force), the electromotive force in a wire loop moving through a magnetic field (an aspect of Faraday's law of induction), and the force on a moving charged particle.
Historians suggest that the law is implicit in a paper by James Clerk Maxwell, published in 1865. Hendrik Lorentz arrived at a complete derivation in 1895, identifying the contribution of the electric force a few years after Oliver Heaviside correctly identified the contribution of the magnetic force.
I have tried finding the tension of the string through the equation
Net Force = T - mg = ma
but I am struggling with coming up with the correct acceleration. Is my net force equation correct?
I tried approaching this question like this:
F_N - mgcos(theta) = -mR(theta_dot)^2
and theta_dot = v/R since R is constant
F_N = m(gcos(theta) - (v - v_0)^2/R) (with v being final velocity and v_0 being the initial velocity from the impulse)
and then using energy conservation:
at t = 0: E =...
I realize that there is a downward force of gravity weighing the object toward earth’s surface, equaling F = mg (downward). The upward force would have to be something at least as much as the downward force in order to lift the object up ”such that it is accelerated from rest to a velocity of 5...
Hello everyone,
I know that GR equations are complicated and beyond my scope.
But does GR give a simple gravitational equation: Force (as we know it) as a function of distance? (without any complicated tensors).
- If yes. What is the equation? Does it give us something similar to Newtons...
When deriving the Maxwell Stress tensor, the Lorentz formula is converted from point particle:
F=qE+qv x B
Into current and charge density:
F=ρ E + j x B
However an argument can be made that we can't "fieldify" both q and E at one step, and thus, a "coercion" of the field to a value is...
(not a homework question - I left education over 45 years ago)
Hi, this just out of interest as I have been googleing this and can't find the answer
I know the equation for tension force, for example a weight on a string, block on a ramp, etc.
But is there something similar for a horizontal...
I require to calculate acceleration of an object caused by a force of 100N acting upon it.
The weight of the object is 0.5kg
I'm using the equation
F = m * a
Is it correct to use weight of the object instead of mass in the equation.
Will it yield correct results?
Or would I need to calculate...
Hi,
for ease of reference this posting is segmented into :
1. Background
2. Focus
3. Question
1. Background:
Regarding (one, linear, second-order, homogeneous, ordinary, differential) equation describing the force in a non-driven, damped oscillation:
F = m.a = -k.x - b.v
F =...
what is s in this equation and how what equation do I need to figure out what S is
Fm = S (w × v)
Where:
Fm =the Magnus force vector
w= angular velocity vector of the object
v=Velocity of the fluid (or velocity of object, depends on perspective)
S= air resistance coefficient across the...
Homework Statement Homework Equations
F= ma or F= md^2x/dt^2
The Attempt at a Solution
I know that this second order differential is non linear. I attempted to solve the problem as -k/x^2 = md^2x/dt^2 but I'm getting trouble since it is a second order ODE and I haven't learned how to solve...
Homework Statement
Two masses (M1 and M2) are connected together by 3 springs. The spring constants are k1, k2, k3. Block 1 is at equilibrium at x=0. Block 2 is at equilibrium at x=1. Determine a function for the force on the blocks.
Homework Equations
The Attempt at a Solution
[/B]
Without...
Homework Statement
Problem 16.39
[/B]
The viscous force of a liquid in laminar flow through length L is given by ##F_v=4\pi\etaL v_m## where ##\eta## is liquid viscosity and ##v_m## is maximum velocity of the fluid. Find an expression for ##v_m## in terms of p1, p2 (pressure at each end) and...
Homework Statement
A particle of mass m is initially at rest at x = 0.
It is acted upon by a force F = A cosh (\beta t) (1)
A) Show that at very small values of t, the position is approximately given by x(t) = \frac{1}{2}\frac{F_0}{m}t^2 (2),
where F_0 is the force at...
Homework Statement
The binding potential energy in a diatomic molecule (N2 for example) is often approximated by the Morse potential energy which has the form U(r) = De (1-e^[-a(r-re)])2 where De is a constant that reflects the well depth (dissociation energy), a is a constant that reflects the...
In Jackson, the following equations for the vector potential, magnetostatic force and torque are derived##\mathbf{m} = \frac{1}{{2}} \int \mathbf{x}' \times \mathbf{J}(\mathbf{x}') d^3 x'##
##\mathbf{A} = \frac{\mu_0}{4\pi} \frac{\mathbf{m} \times \mathbf{x}}{\left\lvert {\mathbf{x}}...
Homework Statement
[/B]
P=60kN
angle alpha = 45 degrees
angle beta = 20 degrees
The task is to calculate the force on the base A and C, and to draw vectors that represent those forces.
Homework EquationsThe Attempt at a Solution
I did similar examples at the class, but when I had to do this...
Homework Statement
Force exerted by the ground on the rocket
Mass of the Rocket = 1500kg
Duration of landing impact = 0.04 s
Velocity at time of impact = 175 m/s
Distance traveled = 30km
Time taken to complete journey = 6 minutes
Acceleration due to gravity = 9.8 m/s^2
Homework Equations...
1. The problem is the following:
Starting from stillness @ t = 0, we are looking for the acceleration @T=0 of the 2 wheels (rolling without slip, in particular in point P4 we have a gear wheel contact so we can have that the reaction R2y of the plane could be also in direction y2, in this case...
It just seems odd that the force on an object goes based on the second time derivative of its position vector. I understand that this is what is observed through experiment, but is this only for certain types of situations? Is the acceleration only some kind of low-order approximation of a...
Hello, I have been turning to this subject and tried to develop the right equation on my own.
What I did was:
mgh = ½kx2 (fall energy = spring energy)
x2 = 2mgh/k (obviously devided by ½k)
sqrt(2mgh/k) = x (taking out square root)
F = mgh/x = mgh/sqrt(2mgh/k) = sqrt(½mghk) (energy /distance...
I am currently working on presenting a poster for my science project on the Electroweak Force and I wanted to show on my poster the full equation. I read the Wikipedia page on the Electroweak Force and found the equation, but I'm not sure how to represent it fully.
Can someone please help me by...
Are two forces in the equation different forces?
I heard the force in the second equation is like impulsive force. The concept is nebulous to me can someone also elaborate further?
f=ma
f= mxΔv/t
The problem, relevant equations, and my attempt at a solution are all shown on both attached images.
Not sure where the π and and extra (1/4)1/2 is coming from.
Also, I noticed that my final result, in the attemp at a solution should be t=(mb3/4k)1/2, no negative sign.
Hi, I am new here, but there is a question that really bugs me :-(. In Lorentz force why was the velocity defined as relative to the observer and not relative to thesystem generating the magnetic field. By defining it relativ eto the system relativity is not needed to explain how an observer...
Homework Statement
A charged particle (m=1.673*10^-27 kg) exists in a region with E=10 kV/m in the x direction and B=1T in the y direction. If the particle moves without being deflected calculate its kinetic energy.
Homework Equations
F=Q(E+u x B) and KE=1/2 mu^2 where u is velocity.
This is...
Homework Statement
The force on a particle of mass 3.0 kg moving in one dimension at time t, is given by:
F = 9.0 +2.0t - 4.0t2. What is the velocity of the particle? (Let v0=0 and ti=0)Homework Equations
[/B]
I know to use F = ma for sure.
And I believe this is the motion equation I...
Homework Statement
Homework Equations
W = F*d
The Attempt at a Solution
a. W = Ce^(ax)*2a^-1
b. W = Ce^(ax)*2a^-1
c. w = Ce^(ax)*(-4a^-1)
I feel like this problem is more than just this simple...
Homework Statement
I proved that a relativistic 1D force is
F = \gamma3*m*dVx/dt = m * dVx/dt * 1/ (1 - (v/c)2)3/2
Then, "This is a separable differential equation that can be solved using a trig
substitution. Use this (or some other technique that works) to show that the velocity is given...
Homework Statement
Hi, i have a peculiar question after watching MIT lecture:http://ocw.mit.edu/courses/physics/8-01-physics-i-classical-mechanics-fall-1999/video-lectures/lecture-12/
What is the difference between the equation representing the drag force for a sphere...
Why isn't the force of friction F= (frictional constant)(force of gravity)?
Since F = mg(coefficiant)
and g is negative denoting the direction of the vector, gravitational force.
Frictional Force is mathematically defined as:
Ff = μ*m*g*cos(θ)
, where μ is the coefficient of friction, m is the mass of the object, g is the acceleration due to gravity and θ is the angle of the inclined plane.
But in terms of direction, this makes no sense!
Suppose there is an...
I would be very grateful if someone would kindly explain this generalization of the Lorentz force law to the special relativity domain. I am not entirely sure if what I have jotted down is exactly as the speaker intended to convey. But here is what I have got. Please bear with me...
Homework Statement
Calculate the Maximum Bending Moment of the bridge section using the values given.
Ra = 61837.91667 N
Rb = 78304.5833 N
(please refer to attached diagram)
Homework Equations
shear force is = 0 when x = 13.755998 m
(I worked this distance and the shear force equation out...
Hi.
I am reading this chapter about dimensionless ratios and scaling law. and it says like this:
\alphaF = \frac{Fp}{Fm} = \frac{ρp . Vp^2 . Lp^2}{ρm . Vm^2 . Lm^2} (1)
From this, it is obvious one can write for these forces:
Fp = C\frac{1}{2} ρp Vp^2 . Lp^2 (2)...
A charged particle - like an electron - has a magnetic moment. This moment changes depending on where the electron is.
If you apply a magnetic field to an object with a magnetic moment, it experiences a torque. It turns. This turning motion is not included in the overall motion of the...
Homework Statement
as a new physics student, I'm not sure how to derive the formula i need to answer this question.
there's a ramp that rises 1m in height and 20m in length. a block weighing 20,000kg needs to be pushed up it. (yup, we're building the pyramids). how much force is needed to...
I need to design a cam based on the following math problem: A non-linear force f(n) is working on a lever that is x + x' long (x+x'=constant). I need an equation for the ratio, x/x', such that the counter-balancing force, f', is constant (non-varying).
By varying the ratio of f(n) to f', that...
Homework Statement
a bus passanger has her laptop sitting on the seat next to her while the bus moves at 10m/s, the bus goes around a turn with a radius of 25m. what is the coefficient of static friction in order to keep the laptop from sliding?
Homework Equations
The Attempt at...
Homework Statement
Hi,
i need to write the differencial force equation for the system attached,
and i am not sure if what i do is right.
when:
F- externa power
m1,m2 - mass
x1,x2 - mas location
The Attempt at a Solution
This is what i got:
for m1:
F-k*(x1-x2)-D*(x1'-x2')=m*x1''...
Hi All,
B = μonI
I am trying to adapt this formula to include a dependence upon the angle made by the coils relative to the cylindrical core of the electromagnet. For example it is known that the number of coils (n) that can be formed around a cylinder should be dependent upon the length of...
Homework Statement
Assume that a force acting on an object is given by , where the constants = 2.9 and = 3.9 . Determine the work done on the object by this force as it moves in a straight line from the origin to = (10.0 + 21.5).
The Attempt at a Solution
well... what i did first was i...
Ok I've been trying to figure this out for some time now
We all know the formula F=ma
now acceleration is measured a=(v-v0)/t
now if there was an object in motion (lets say we measured the speed of a vehicle moving in a straight line at a constant speed of 10m/s over 30 seconds) this gives...
Homework Statement
A 2.0 kg block is acted on by the following force
Force=[(2N/m)x-(5N/m2)x2]{ihat}+[(13N/(1/m2)x2-(6/m)x+7)e-x^2/(2m^2)cos{(2∏)x/3m}]{jhat}
as the object moves horizontally along a surface. In the expression for the force, x indicates the position of the block along the...
Homework Statement
A crate with a mass of 25 kg is on a ramp that is inclined at an angle of 30o from the horizontal. An applied force of 35 N directed parallel to the ramp is used to pull the crate with a constant speed up the ramp a distance of 15 m. What is the work done on the crate by...
Hey everyone,
I was researching the magnus force and came upon the equation being:
Fm= S(w x v)
where S is the air resistance coefficient and (w x v) is the cross product of the angular velocity and the velocity of the object.
Well my question is that if the drag coefficient is...
Homework Statement
First, there is a graph showing x initial at (0,0) and x final at (1,1)
Given: F = xy i +xyj
Find the work done by this force moving the particle from x initial to x final. [note you'll need a relationship between y and x]
Homework Equations
W = Fdcos(theta)...
Hello guys, I just have a simple question and I hope it doesn't get deleted or anything but anyways... The question is, "If F1 = 97g@338 degrees, then its components are?"
Then in my book it gives me three answers and I have to pick the correct one...
A: F1x = 29g, F1y = 93g
B: F1x =...
Homework Statement
Write the equation used to calculate net force on a block of mass m that is accelerating down a ramp.
Homework Equations
The Attempt at a Solution
Okay I think that we are going to have to use the equation F - f = ma. Since the question says to find the net...
Homework Statement
A force is applied to a block downwards at 30 degrees above the horizon line. the Force = x^2 - 2x (Newtons). Find work over the first 2 meters
Homework Equations
Work = integral(F(x)dx)
Work = integral(Fcos(theta)dx)
Work = F(x)delta(x)
The Attempt at a...
This isn't so much a problem as a step in some maths that I don't understand: (I'm trying to follow a very badly written help sheet)
Here's how it goes:
Given Newtons equation
m \ddot{x} = F
The Green's function for this equation is given by
\ddot{G}(t,t^\prime)=\delta(t-t^\prime) (1)...