In physics, work is the energy transferred to or from an object via the application of force along a displacement. In its simplest form, it is often represented as the product of force and displacement. A force is said to do positive work if (when applied) it has a component in the direction of the displacement of the point of application. A force does negative work if it has a component opposite to the direction of the displacement at the point of application of the force.
For example, when a ball is held above the ground and then dropped, the work done by the gravitational force on the ball as it falls is equal to the weight of the ball (a force) multiplied by the distance to the ground (a displacement). When the force F is constant and the angle between the force and the displacement s is θ, then the work done is given by:
W
=
F
s
cos
θ
{\displaystyle W=Fs\cos {\theta }}
Work is a scalar quantity, so it has only magnitude and no direction. Work transfers energy from one place to another, or one form to another. The SI unit of work is the joule (J), the same unit as for energy.
Hi,
I am using an Apex PA443DF operational amplifier to drive a sinusoidal signal at 100 V amplitude across a very large resistor with resistance of about 5000 Mega ohms. The amplifiers are set up as noninverting with a gain of 22 and function very well for small resistive loads. The sinusoids...
According to a trusted source (a textbook, if you must know), the actual Gibbs free energy of an otherwise reversible reaction, becomes lower than expected if the local circumstances makes the reaction effectively irreversible. The circumstances are that neither enough energy, nor a reaction...
Hi all,
25 year electrician here with a strange (to me) issue.
I have a science project lamp that has a dimmer, a volt meter and a socket with a bulb in it. The kids can turn on the bulb, rotate the dimmer and watch the voltage go up and down on the meter. Simple enough.
Every dimmable bulb...
Hi, I don't know if I am in the right part of this forum to ask so if not please move my thread to the appropriate area. I do understand how gravity works on a very basic laymen level like the old Newton apple tree example but beyond that, nothing more.
I feel like the emerging idea of quantum communications; is that you can exchange data via the synchronous states of entangled particles, across any distance, in real-time.
But, there's also this dilation in the physical world, at the speed of light, according to relativity.
So- how would the...
I have taken AP Physics C: Mechanics during this past semester. Due to COVID-19 my teacher decided to not teach us the last unit that usually covered gravitation and simple harmonic motion since it was not going to be on the AP exam. For this reason I will be taking intro mechanics again in...
Why I think gravity *is* the only force doing work on the rider:
1) The only forces acting on the rider are gravity and the normal force. Broken down into their component vectors, we have:
-> The component of the force of gravity moving parallel to the rider's direction of motion
-> The normal...
Push-ups take a certain amount of work. If starting from a 45 degree angle instead of from a zero degree angle (the ground), my calculation shows it requires 1/√2 the amount of work. If the relative movement of the body, remaining stiff, is the same, the center of mass moves a certain height...
When I studied Electronics I remember that there was some type of RLC-circuit where phasor diagrams could not be applied in order to find I, U and phi_u_i (φ_u_i). I've been searching the web to find that example. But I can't find it. Can anyone of you help me refresh my memory?
I used to successfully block ads on YouTube with ABP.
Now, I'm seeing them. Could I have a virus? Or, does ABP simply not block stuff on Google/Alphabet platforms anymore?
I am trying to create a receiver for a personal project I am working on. This is the RF amplifier that I was given by a book I am following. How does this circuit work? Usually for a BJT amplifier I find the DC bias point and then use the small signal model after I bias the circuit? I understand...
Imagine this question in 2 dimensions, time (t) and distance (x), that is (t,x). Alice (A) is at the origin, x=0. Bob (B) begins at x=c. Thus we have A(0,0) and B(0,c). Both Alice and Bob send a light signal towards the other but let's say the signal changes colour every second by the colours of...
I am a bit confused on the definition/convention of work. In some books I see statements that say :
"If work is done on the system, its sign is positive. If work is done by the system, its sign is negative."
And in other books I see things like:
"By convention, work is regarded as positive...
There’s a current i in the loop in the figure. The Ampere’s force iLB on a wire of length L exerts on charges in the wire but it does no work on the charges. The charges would go in circular motion if there were no wire. Then the wire exerts exactly iLB on those charges to keep the charges...
I'm really struggling with this problem. I can't understand which are the forces that i need to calculate work. Probabily when the sand falls the force of which i need to calculate work is weight force, but which is the force that carries the sand at the top of the roller?
Near the end of this paper, Sherwood presents a rotational analogue of the centre of mass work equation. The derivation is as follows (##\tau_{i, \text{CM}}## is the torque of the ith force about the centre of mass): $$\sum_i \tau_{i, \text{CM}} = I_{\text{CM}} \alpha$$ $$\int \left( \sum_i...
Consider a coil perpendicular to the ground falling with gravity. Under it, there is a magnetic field also perpendicular to the coil. When the coil starts penetrating the magnetic field there will be an induced current and therefore a magnetic force upwards. This magnetic force will reduce...
Like AT asked I post a new thread because it is a different example, here there is no friction and I use a needle and an elastic to have the forces.
The circle moves in horizontal translation, the circle doesn't rotate around itself, the red wall rotates around A0, and A0 is fixed to the...
I have drawn a picture of what the induced electric field will look like, and I have determined its magnitude both within and outside of the magnetic field. I was able to get the right answer for part (b) with this information, but I don't understand why the answer for part (c) is 0 J. It...
I came across this here:
Is this incorrect? If we setup any coordinate system and take torques about that coordinate system, then I would have thought we say the work done in that frame is $$W = \int_{C} \vec{F} \cdot d\vec{r} = \int_{C} \vec{\tau} \cdot d\vec{\theta} \quad \left( = \int_{C}...
For a general body, there exists the notion of centre of mass work; that is, computing the work done if all of the forces on the body act through the centre of mass. If we separate the total kinetic energy into that of the CM and that relative to the CM, ##T = T_{CM} + T*##, we can show by...
I have already calculated full charge inside the sphere: e = ∫ρ dV = 2πBr^2
And I know that electric potential on the edge of the sphere is: U = e/ 4πεr
The idea is that I calculate work by the change of electric potential energy, but to do that, I have to calculate electric potential energy in...
Summary:: Seeking explanation to classical gas - cylinder - piston problem, not the solution.
Problem 1.15 from 7th edition of Introduction to Chemical Engineering Thermodynamics by Smith, Van nes and Abbot)
Classical problem, given:
- gas in a confined cylinder
- piston with weight is placed...
This is the diagram in mind
Some of my assumptions like the particle q will be moving with some initial velocity V1 in the circle of radius of r1 and when it moves to the circle of radius r2 its velocity will be V2 ( > V1) since its potential energy is decreased.
The amount of work done by...
Suppose we have a system of particles being acted upon by a single external force ##\mathbf{F}^{e}##. Each individual particle feels a force of ##\mathbf{f}_i = \mathbf{f}_{i}^{int} + \mathbf{f}_{i}^{e}## such that ##\sum_i \mathbf{f}_{i}^{e} = \mathbf{F}^{e}##, and ##\mathbf{f}_{i}^{int}## are...
It was just a conceptional question.
I thought that the positive work is done while it arises and negative work is done while it falls. For the effect of air resistance, the work done on each case would be less than the work done in absence of air resistance. Is there any other things that I can...
Disclaimer: I am not a mathematician, I am a physicist.
The thermodynamic identity is usually expressed in the following differential form
$$
dU = TdS - PdV + \mu dN,
$$
where U , T , S , P , V , \mu and N are the internal energy, temperature, entropy, pressure, volume, chemical...
So, I want to make a robot parrot. I would like the parrot to be able to open and close their wings. I had a couple of ideas for the wings, one of which I'm not sure would work.
Could this idea work? If so, how much torque would the motor/gearbox need and how would that be found? If it doesn't...
At the start up section I initialize a matrix like:
EL = [ ];
save('EL.mat',"EL");
-------------------------------------------------- This part is okay it creates and saves an empty matrix.
But later, when a button pushed it should record the values of the edit box like:
(This is the...
Initial velocity u=0
Let Final velocity be v
Then, KE acquired by the object=1/2mv²
So the answer must be option1 i.e. m¹
But my textbook says the answer is- m to the power zero.Please explain this discrepancy.
With automated theorem proving, what is left for mathematicians other than perhaps inputting weird axioms? Or are the machines not as sophisticated yet as I'm assuming they are?
What is the probability that a healthy person with fully functional immunity will become infected when he receives a tiny amount of some (flu kind) virus on a) hands, b) eyes, c) lungs?
I don't know how to define a small dose of a virus, but I guess if only one virus gets in my lungs, my immune...
I'm not sure that does the given distance represent "x" direction? If so, I did...
a) Fx = 80N * cos(35°) = 65.53N
W = F*Δx = 65.53N * (15m) = 982.98 J
b) k = 982.98 J = 1/2 (m)(v2)
v = (√2k/m) = 6.6 m/s
c) vf = vi + at
a = F/m = 1.46 m/s2
t = (vf-vi)/a = 4.54 sec...
Since we don't know how far does it move in y-axis, I assumed that only x-component does work.
a) W=Fx*Δx = 50N*(-6m) = -300 J
b) Θ = arctan(12/50) = 13.5°
But, I'm not sure that did I do this in right way...h
To do this I'm given a graph showing gravity reducing non-linearly from 3.7 N/kg at the surface to 0.7 N/kg at 8 x 10^6m. I believe that the equation for a fixed gravitaional pull is E = M x G x H - however with changing gravity as the object rises - how do you calculate this?
If 1kg make a displacement of 1unit upward then A make a 1/2unit down because 1/sin 30.after that i have no idea what do I will really need help.
Thanks!
The diagram for the problem is shown alongside. In the vertical (##\hat z##) direction we have ##T \cos \theta = mg##.
In the plane of the pendulum, if we take the pendulum bob at the left extreme end as shown in the diagram, we have ##T \sin \theta = \frac{mv^2}{r}## (the ##\hat x## axis of...
To my mind, there are two distinct approaches to energy problems that different authors tend to use, and I wondered whether either is more fundamental than the other. The first is variations on the work energy theorem, and the second consists of defining a system boundary and setting the change...
Hi, this is not an exercise. In some lecture notes the authors states that from elementary EM I should familiar with the fact that the work associated with polarization and magnetization of a material is given by ##\delta W = E dP## and ##\delta W = BdM##. I have to admit that I am super rusty...
<work done a system>
a) w=5N*(0.4m)=2J
I think this is right, but
b) center of mass initial = ((0.5kg)(0.05m)+0.5kg(0.65m))/1kg = 0.35m
center of mass final = ((0.5kg)(0.45m)+0.5kg(0.4+0.1+0.3+0.25))/1kg = 0.75m
I'm not sure for this one... How can I calculate the displacement of the...
So when explaining the results of quantum double slit experiments that have evolved from the classical wave double slit experiment, popular lecturers of quantum mechanics often show an animation of an electron gun or photon source shooting a lot of particles towards a double slit. The effect is...
i. the threshold frequency;
3.9x10^14hz? it appears the line intersects at 3.9ii. the work function of the surface;
6.626x10^-34x3.9x10^14= 2.58414 × 10^-19J
iii. Planck's constant
unsure