How do we prove that the gradient points in the direction of the maximum increase? Would it be enough to simply state that the gradient is just the derivates of a function w.r.t all the variables a function depends upon. Since the derivative of a term w.r.t a certain variable gives the maximum...
How will the level of liqid change if ice melts in it?
If its water then there is no change - i know this will happen but i don't understand it( intuitively )
Moving on to other liquids - like oil and mercury - what will happen to their levels?
Please help me understand
I actually did...
Hi everyone,
I've been reading about electricity lately and I've run into a question that has been bugging me for a while. If you have (or made) a battery that has a rating of 2 volts (this can really be anything, I'm just giving an example) and you wanted to increase it to 3 volts, how would...
There is a spherical lead ball with a spherical cavity. It is heated. The size of the cavity increases. Why does it do so?
Also, does it matter what happens to the cavity if it is not present at the centre, but rather a little removed from the centre? Will it remain spherical?
24. A square coil is perpendicular to a uniform magnetic field. Which one of the following would increase the magnetic flux through the coil?
A. Decreasing the area of the coil.
B. Increasing the number of loops in the coil.
C. Removing the coil from the magnetic field.
D. Increasing the...
Hey!
I am looking into how batteries work but I can't understand why -- from a chemical perspective -- voltage increases when they are connected in series.
Let's say we have two identical batteries: battery 1 at the bottom and battery 2 on top, connected in series. The negative bottom end...
In a problem in our book, it says that the mach number in a constant area duct with friction (Fanno flow), the mach number increases from 1.8 to 1.22...however, from the Fanno line, its very clear that in the supersonic region, mach number always decreases along the flow...is there some kind of...
Homework Statement
If a big star gives of wind , forming shock and then a bubble .. And then this bubble is driven by pressure
Also as the bubble expands the surrounding mass gets added to it
Does it make sense for the Total energy to increase ?
Homework Equations
The Attempt at a Solution
Hello,
This is my first post, I signed up especially to ask it.
I recently finished reading Steven Hawking + Leonard Mlodinow's "The Grand Design" and I found it really interesting. The bits I found most interesting were the parts on quantum physics, more specifically wheeler's delayed...
Hello,
The speed of wind generator and its voltage are constant. The power needs to be constant, so does the magnets. The clue is to increase the current generated, how it can be done without altering the voltage, geometry or the speed?
Thanks in advance!
hi guys new to this forum as of today . I am currently buliding my self a little project but before i go out and blow money on parts i was wondering is there anyone out there that knows if this will work I've attached a diagram of what i want to do sounds simply enof but will i gain power...
hi
im really confused about the exact heat transfer mechanism of the phenomenon i observed
the situations simple: if you immerse a red hot wire into water with small particles floating on the surface, the particles move really fast.
at first, i thought it could be explained simply by the...
Homework Statement
Homework Equations
I am working on a formal lab report for an inorganic chem course and forget how to construct a spectrochemical series. I have 4 complexes, each has a single absorption band in the UV-Vis spectrum.
[NiBr(Mes)(PPh3)2] 450nm
[Ni(Mes)Br(bipy)]...
I could rephrase the same question, why does the frequency decrease when load exceeds generation?
I know these are fundamental operating characteristics of a power system network but I'm not sure I can mathematically prove it. My best guess is that everything dissipates more power when the...
I mean,
If an ideal step up transformer increases the voltage from 10V to 20V say, why does the current halve?
I know it happens and I know the equations for it, I know to say otherwise would contradict the law that energy cannot be created.
But putting the equations aside, why exactly...
Suppose we have a closed cylinder with a partition. In one chamber is a gas, in the other is nothing. Now suppose we quickly remove the partition. The gas expands freely without work being done. Thus the entropy increases, because the gas doesn't "lose" energy.
So that explains how a gas...
Homework Statement
We blew up a balloon, attached a data logger inside the balloon. We then popped it and checked if the temperature increased or decreased. Most of the time, the temperature increased (from around 29 degrees Celsius to 29.2 degrees Celsius).
Why is this so?
Homework...
If i have a shaft & I'm applying a driving torque D at one end & at other end there is resisting torque R due to bearing friction, etc. Then if D>R, i have net torque = moment of inertia times angular acceleration. Since the ang. accln is constant with respect to time, will the ang. speed of...
I'm currently playing with diamagnetic pyrolytic graphite and I have created a small portion of a track similar to this video
I want to create a circular track for it travel on, but as rare Earth magnets are getting expensive I'm going to use thinner magnets that consequently have a weaker...
Homework Statement
A 1.2 g pebble is lodged in the tread of a 0.76-m automobile tire, held in place by static friction that can be at most 3.6 N. The car starts from rest and gradually accelerates on a straight road. How fast is the car moving when the pebble flies out of the tire tread...
I am looking at inflation at the moment, and it says in my textbook that (aH)^(-1) is constantly increasing in matter or radiation dominated epochs.
a is always positive and always increasing. This tells me that da/dt is positive. I think that setting the universe to MD/RD means that da/dt...
Like photons, all particles have a wave/particle duality, so when energy is added to an electron, say in a particle accelerator, why does the "amplitude" of the electron wave never increase (say as an increase in the actual number of electrons) - why is it that the energy added always just comes...
I remember reading an article on exoplanets which suggested that when a star loses its mass, the orbital radii of the planets orbiting it increase. Apparently this makes it easier to identify such planets as they are now further away from their star.
What I would like to know is, what...
Hello,
I am a firearms enthusiast. In my collection is a Gewehr 88/05. This was Germany's first smokeless issue rifle and it originally used a smaller bore than is used today in the 8mm.
It was converted in 1905 to take a 0.323" bullet instead of a 0.318" bullet. The leade (free...
Homework Statement
If positive work is done on a positive test charge will the work increase,decrease or stay the same if the test charge increase
Homework Equations
W=fa W=∆K
The Attempt at a Solution
the magnitude of the test charge doesn't affect the Electric Field so the work...
I was reading that i certain type of linear accelerator increases in output though time... why would this be? If anything i would have thought it would have been the opposite..
thanks
【HELP】Equation of temperature increase by shock wave
Hi there!
What is the equation of the temperature increase when the ideal gas swept by a planar shock wave (Mach number, M)?
Thank you!
as we move forth in time, does the universe become more or less complex? is this related to the theory of thermodynamics? I just need a brief explanation I'm a bit confused.
Thanks!
It was only in 2004 with the launch of Gravity Probe B that spacetime curvature was physically ascertained to exist, previous to that, it was a simply an extremely elegant proposition underlying GR.
Similarly, has the increase of mass with relative velocity been physically proven to exist or...
Homework Statement
f(x)=x — cosx, 0 ≤ x ≤ 2∏
Homework Equations
The Attempt at a Solution
I took the derivative of the function: f'(x)=1+ sinx, 0 ≤ x ≤ 2∏
I don't know how to determine whether it is increasing or decreasing between the interval given. What should I do?
i'm given a circuit that contains a 15 volt battery and a resistor that has a power rating of 1/4 watt and a resistance that must be greater than 1 kohm. I'm told that no matter how i set it up, i cannot exceed the 1/4 watt power rating of the resistor. this makes sense. i work out the max power...
Increase in weight if an object is illuminated
Are there experiments which show that the weight of a body, with initial mass between 1 g and 1 kg, really increases if illuminated for a certain time?
Photons have energy E = hf but no mass. If the weight of a body gets bigger after being...
Hey Guys,
I was doing physics questions. It was written that in the absence of friction, the acceleration of any object sliding down an inclined plane is given by:a=gsinθ. As the skier skis down the curved hill, the angle of inclination is increasing, so the acceleration of the skier is...
Revered members,
Conductors have positive temperature coefficient of resistance, that is , their resistance increases with temperature. While for insulators and semi conductors, the resistance decreases with increase in temperature, what we call negative temperature coefficient of resistance...
Hi,
I'm using the finite difference method to solve both the Reynolds Equation and the Poisson equation in order to calculate the air pressure of a porous air bearing. The Reynolds equation describes the flow in the channel between the rotor and stator, while the Poisson equation the flow...
This was a quick short answer question from a previous final exam I'm studying from - the prof didn't provide an answer key.
I can't think of any physical reason why this should happen. I can explain why the stokes/anti-stokes intensities vary with temperature, and why the linewidths vary...
If mass really increases with speed then if 2 rockets leave earth, traveling parallel and close together, at close to the speed of light, then from an Earth point of view, as their mass increases, so should their gravity and they should be drawn together. But from the spaceship point of view...
dear guys,
first of all.., I'm sorry because i not sure my question suitable in this forum or not.
if not, mr moderator please move my topics to correct section :redface:
my problem is, how to increase the pressure of the r22 gas in the tank diameter 10 inch x 30 inc (length). my tank can...
What can I do to increase my chances of getting accepted?
I'm currently a freshmen at Wichita State University studying Electrical Engineering. My hopes down the road are to get a PhD in Robotics at Carnegie Mellon University. As it stands currently, I'm pretty unimpressive on paper. My GPA is...
I (think I) understand that:
1. With the Schwarzschild metric, the ratio of proper time to coordinate time decreases ("clock runs slower") with decreasing radial distance. (And ratio of proper distance to coordinate distance increases.)
2. The geodesic path followed by a freely falling...
I have a dc motor geared to a diaphragm pump, and all hardware are unchanged.
As i increase the supplied voltage, rpm increases, but so does the current (torque).
I thought rpm increase would lead to higher back emf, and thus lowers the current. So would the only reason for my increased...
Homework Statement
If in Joule's paddle wheel experiment a block of mass 10 kg is allowed to fall through 22.5 meters and the mass of the water is 50 grams. What is the total increase in temperature of the water?
Can your value of J be used for determining how much mechanical energy can...
As I understand it, if you are moving fast enough relative to me, your mass increase will cause you to APPEAR like a black hole to me, even though you will not see yourself as a black hole. It would be an illusion, right? And also you would see me as a black hole while I would reject that view...
I am working on a simple motor and I would love input or tips to increase the rpm on it.
The motor is built by having a 1.5 v D battery connected to 2 bobby pins for and a coil of wire that one side is fully stripped and the other side is on the other side is only stripped on the bottom. Then...
Homework Statement
Homework Equations
..
The Attempt at a Solution
We find \nabla f(1,2) at point P: the answer is (-4, 13). Now, we know that the directional derivative of f is given by: \nabla f(1, 2) |u| \cos\theta
where |u| = 1 and \cos\theta=1 (since the direction is maximized at...
Homework Statement
What is the direction and rate of maximum increase?
f(x,y) = x^2 + y^3, v = <4,3>, P = (1,2)
Homework Equations
The Attempt at a Solution
The direction should be as same as the gradient so < 2,12>
The rate of maximum increase is magnitude of the gradient so...
Hello, I was wondering if particles that have a set position such as for example particles within the Earth's core would experience a temperature gain due to gravity.
If kinetic energy is applied to the particles in the air due to gravity, then kinetic energy should also be applied to...