Homework Statement
Rain is falling vertically into an open railroad cart which moves along a track at a constant speed. The engine must exert extra force on the cart as it collects water (the water is initially stationary be brought up to the speed of the train).
Calculate this force if v =...
Homework Statement
The problem is the same as the title; to find the relation between wave speed and tension for a standing wave in a string. (Fixed ends)
Given data (from the experiment)
String length = 1.62m, mass is negligible
Frequency = 48.2 Hz
Basically one end of the string was...
In the arrangement shown, find the necessary relationship between the capacitances of the four capacitors in order that when a voltage is applied across terminals a and b, no voltage difference is set up between terminals c and d. Would this arrangement work for the case of the voltage applied...
Homework Statement
Identity if it is an equivalence relationship and describe the equivalence class.
The relationship T on the set of continuous functions mapping R to R, where fTg iff f(4)=g(4)
Homework Equations
The Attempt at a Solution
It is an equivalence relationship just...
Homework Statement
The five ropes in the picture can withstand 1500n each, how heavy can w be without breaking any?
Homework Equations
The Attempt at a Solution
First naming the tensions on the rope t1,t2,t3,t4,t5
and find the relationship between them, like t1 = 2t2
but i...
Homework Statement
What is the relationship between electric field strength and the potential gradient?
Homework Equations
The Attempt at a Solution
This is my Calc based Physcis lab question but I am at a total loss. I do not understand what potential gradient is in the...
Hello everyone, I am new in this forum. I recently have admitted to B.Sc. course in Computer Science and Engineering. I am bound to take a course called "Differential Calculus and Coordinate geometry". Though I am more interested in Math than CS, I can not workout relationship between Analysis...
Here's a problem that I am having difficulty doing:
Homework Statement
The question states:
if 2f(x)-3f(1/x)=x^2, determine f(2)
I am confused about the relationship between f(x) and f(1/x). My attempt right now consists of substituting y for f(x), 1/y for f(1/x) and 2 for the x in x^2 but i...
Since f^{-1} is a reflection of f about the line y=x, we can say that the derivative (slope of tangent at any point) of f^{-1} is the reciprocal of the derivative of f.
Now suppose y=x^3+2x^2+4
so that \frac{dy}{dx} = 3x^2+4x
But then why am I wrong in saying that ( f^{-1} )'(x) =...
Homework Statement
Consider if these things are scalars or vectors. Which is easier to work with, scalar or vector quantities? What is the relationship between electric potential and the electric field?
Homework Equations
The electric field equation:
E = 4*pi*k*sigma / (- (base zero)...
Hi all, I wanted some advice on my research-advisor. I was fortunate to have enjoyed a nice night in town with my research-advisor and his girlfriend. He insisted on paying for everything, and he did. I was quite grateful, and have been wondering about a way to return the favour, and/or conduct...
Homework Statement
I am writing a report for an Iodine clock lab, the questions I am having trouble with are:
1.What mathematical relationship exists between reaction rate and reaction time?
2.What mathematical relationship exists between concentration and reaction time?
3.What mathematical...
I know of the equations can be found here: http://hyperphysics.phy-astr.gsu.edu/hbase/electric/engfie.html
And the equations are similar both involving permittivity, but I don't know their fudemental relationship.
Could someone help? Thanks in advance.
Homework Statement
If a solid material is in the form of a block rather than a rod, its volume will grow larger when it is heated, and a coefficient of volume expansion beta defined by
\beta = \frac{{{V_2} - {V_1}}}{{{V_1}\left( {{t_2} - {t_1}} \right)}}
may be quoted. Here {V_1} and...
Homework Statement
Hello! I am an honors physics student and i have been assigned a project that has puzzled me. I have a container full of sand, a couple meter sticks, a tennis ball, and a stopwatch. What I need to do is prove something through the use of these items. What I am going to try...
I'm starting a Thermal Design course this semester and I need to come up with some type of thermal based design project. I came up with one idea, but I am trying to determine its feasibility, which is not proving to be very easy.
I have been trying to find the correlation between pressure...
What would happen to the temperature (in Kelvin) if the speed of every atom in a monatomic ideal gas were doubled (specifically, what multiplication factor would be used)?
What equations can demonstrate if greater projectile speed can or cannot contribute to greater accuracy (or directional stability) of a projectile, while traveling horizontally within an envirnoment containing lateral crosswinds?
In controlled and powered horizontal flight (aircraft or...
Homework Statement
I have this problem on my physics exam and I hoped you guys could help. The Question is: Why is the relationship between the average velocity and the height of a ball rolling down a slope a square root function?
The slope is 100cm long, the height of the ball at the top of...
So I'm trying to understand the statement: On a complex manifold with a hermitian metric the Levi-Civita connection on the real tangent space and the Chern connection on the holomorphic tangent space coincide iff the metric is Kahler.
I basically understand the meaning of this statement, but...
Homework Statement
Two bodies, A and B, arrive at the base of a frictionless inclined plane with equal momenta of magnitude p. If massb = 3massa, the ratio of the maximum distance that B travels up the plane to the maximum distance A travels up the plane is...
with choices
A) db = d a
B)...
the reasons:
1. For low molecular weight materials, modulus drops rapidly with increasing temperature.
2. For High molecular weight amorphous materials, modulus drops to a secondary plateau region called the rubbery plateau (polymer entanglement prevents chain slippage). With further...
Homework Statement
The is a piston the is massless and moves with friction
A) assuming that out gas is ideal, we will get v = constant T. What are your variables in this case?
B) If you plot V vs T on a graph, what is the slop of your graph?
C) What is the number of moles for this gas?
D)...
Homework Statement
A 80.8 kg man inside a 40.0 kg dumb-waiter pulls down on the rope. At that moment the scale on which he is standing reads 200N. Determine the elevator's acceleration
(basically the man is inside the elevator pulling a rope that goes around the pulley, which makes the...
Homework Statement
I am asked to provide an anti vibrational support mount for equipment mounted on turbo-prop aircraft. The equipment has a mass of 40kg.
the vibrational response of the equipment to the environmental disturbances will need ot satisfy a safety limit prescribed by the...
Hi all,
I've been staring at this question on and off for about a month:
Suppose that p is an odd prime, and g and h are primitive roots modulo p. If a is an integer, then there are positive integers s and t such that a \equiv g^s \equiv h^t mod p. Show that s \equiv t mod 2.
I feel as...
I'm looking at the equations E=h\nu and \lambda=h/p and trying to determine the relationship between E and \lambda. What I'm coming up with is E=\lambda\nup, which simplifies to E=cp. This doesn't quite make sense to me though, is there a mistake, or should I just look more into the units of...
Not sure if the question is sophisticated enough to be posted here, but here goes...
I am trying to work out the velocity-time relationship for a vehicle under certain conditions. The 'certain conditions' are:
1. deceleration due to aerodynamic drag and rolling friction
2. acceleration due...
From uncertainty relationship ∆E τ ~ hbar, what is the lifetime for a state that gives rise to a line of width 0.1 cm^-1? what about for 100 MHz?
How do you get the energy term? I'm really not sure how to do this, would appreciate some insight, thnx.
I just want to make sure I have this right. I know the general solubility rules (i.e. nitrates are highly soluble, hydroxides aren't, etc.), but I'm not completely sure how to compare the solubilities of two salts of the same anion. I'm pretty sure that the salt with the more reactive ion...
I am having difficulty finding the equation or relationship between power (watts) and cross sectional area (m2) to finding the value of an electric field.
I am just confused and can't seem to understand and my textbook isn't making sense to me
Any help would be appreciated and I...
Just over half-way down this page:-
http://www.embedded.com/columns/technicalinsights/220301380?cid=RSSfeed_embedded_news
it says:-
"These sunspot counts show variation on a cycle of roughly 11 years. By overlaying Oulu neutron measurements with sunspot count data since 1964, we see that...
Homework Statement
The higher the intensity of the light we will get a higher stopping potential.
Why is that so? is there any theory and formula to justifiy this behavior?
How is wavelength affecting the intensity of light?
Homework Equations
not sure ,and would like to know.
The Attempt...
The higher the intensity of the light we will get a higher stopping potential.
Why is that so? is there any theory and formula to justifiy this behavior?
How is wavelength affecting the intensity of light?
Please advise.
Thank You
I've been working recently in the area of tissue cell mechanics; specifically, I'm measuring mechanical stiffness (or compliance, the reciprocal of stiffness) and considering its possible underlying distribution.
I was wondering about the following: If the distribution of stiffness...
Hello everyone, I have a strange question. I'm a physics major and I love science and education in general. My life is dedicated to education but my girlfriend whom I've been with for some time doesn't seem to hold education, especially science, in the same regards as me. Her family also shares...
I am studying calculus and statistics currently, and a possible relationship between them just occurred to me. I was thinking about two things: (i) is a differentiable function from R to R a manifold, and (ii) in what way is a random event really unpredictable? So I don't know much about either...
Homework Statement
What is the relationship between the magnitude of a radial electric field and and its associated potential? Choose the correct general relationship?
Homework Equations
The following alternatives are given:
a) E(r)= dV(r)/dr
b) E(r)= V(r)/r
c) E(r)= -dV(r)/dr
d)...
Hi,
I am having a hard time understanding the relationship between torque, angular speed, & required mass of an object. Angular accerlation notwithstanding.
Can someone help me understand how the ability of a machine to spin faster reduces the requirement for torque to generate a...
Homework Statement just a conceptual thing I don't quite understand..
how come dtheta/dt = v/r? I thought it was basically the same thing as v = r/t, but with radians..
thanks
Homework Equations
The Attempt at a Solution
I have been trying to find the relationship between the accelerations in a pulley system. My book doesn't explain it.
My first question: Which object moves faster, the one attached to the pulley or the other? I'm guessing the one that isn't attached to the pulley.
My second question: Does...
Wave amplitude/energy relationship problem...the square of one is one!?
Hi,
1. I am trying to understand the relationship of wave amplitude and wave energy, knowing that Energy is proportional to Amplitude squared. My problem is that the proportion seems to differ for the same wave based on...
If I want to find A relative to B, what am I really looking for?
Am I assuming that A is fixed at the origin and looking at B's motion compared to A, or the converse?
Could someone please clarify this for me.
Also, does the same thing apply to with respect to?
A with respect to B...
Homework Statement
How can i show the relationship of a plane relative to the Earth using two given vectors?
The nose of an ultralight plane is pointed south, and its airspeed indicator shows 35 m/s. The plane is in a 10 m/s wind blowing toward the southwet relative to the earth.
a) In a...