[SOLVED] Couple of Proofs (Regular Induction / Well Ordering)
Hi there everyone, I've been having a bit of trouble of solving these questions, so any help would be greatly appreciated:
Homework Statement
1: Prove, via regular induction, that it is possible to draw a line-segment of length...
Homework Statement
A hunter aims directly at a target (on the same level) 54.08m away. If the bullet leaves the gun at a speed of 143.91 m/s then at what angle should the gun be aimed in order to hit the target? (answer in radians)
Homework Equations
The Attempt at a Solution
Vx =...
http://users.on.net/~rohanlal/Q20.jpg
A couple is two forces acting in parallel and opposite directions.
F1=20N
F2=22N
F3-18N
Couple=15N
I have to determine the magnitude and direction of a single force that has the same effect on the beam as F1+F2+F3+ the couple. To do this would I find...
I am new at this but i want to make sure i know what i am talking about
I have researched all of these things but i am not getting a straight answer so i came you
1. When you get sick(common cold/virus) what happens?
Does virus go into each cell and take its nutrients.
Then after that does it...
*****Making A Small Roller Coaster - A couple of questions (please answer ASAP)*****
[FONT="Times New Roman"][SIZE="3"]Hi
I am going to make a small roller coaster and I had a couple of questions about it.
1) What materials are the best in making different parts of a roller coaster model...
Homework Statement
Two Point particles with charge +Q lie on the z axis at z=+d/2 and z= -d/2 a point particle with charge -Q and Mass=m is orbiting in the X-Y plane in a circular radius=r the path of the orbit is thus z=0, x^2+y^2=r^2
A. find the total coulomb force on the positive...
Hi guys new user seeking help with couple of problems. If anyone can help that would be very much appretiated. Thanks.
1) A 1400 car traveling at a speed of 43.0 skids to a halt on wet concrete where = 0.530.
How long are the skid marks?
2) A truck is parked on a slope.
How big...
Howdy,
First off, a stupid question: Why does linear indipendance not imply orthogonality? i mean we define the latter such that the inner product is zero i sort of see it as a case of the chicken and the egg, are we using two things to define each other in a cyclical way? Also what extra...
Hi, I'm taking AP Chem this year, and we just had this big assignment. I got through most of it, but here's some I need a walkthrough with.
Homework Statement
A titration is done using .1302M NaOH to determine the molecular weight of an acid. The acid contains one acidic hydrogen per molecule...
Homework Statement
In the drawing, the rope and the pulleys are massless, and there is no friction. (m1 = 8.4 kg, and m2 = 2.95 kg.)
(a) Find the tension in the rope.
(b) Find the acceleration of the 8.4-kg block. (Hint: The larger mass moves twice as far as the smaller mass.)...
Homework Statement
A centripetal-acceleration addict rides in uniform circular motion with period T = 3.58 s and radius r = 3.00 m. At one instant his acceleration is a = (7.00 m/s2)i + (-6.00 m/s2)j. At that instant, what are the following values?
I found r x a to be 0 m^2/s^2 which is...
Don't think me silly, but the first question is, where do excess neutrons go? If I do a fission reaction and get protons they are just ionized hydrogen atoms, a free electron is just a negative charge to find a free proton somewhere. But since a neutron can't get back in a nucleus, where does...
http://news.yahoo.com/s/ap/20070716/ap_on_re_us/neglect_internet_addiction
They're blaming the internet, not their own idiocy and lack of self control.
Problem 1:
Calculate the normal force exerted on a 2.84 kg book resting on a surface inclined at 32.9° above the horizontal.
I figure u have to use 9.8 m/s but where does the 32.9 deg come into play?
Problem 2:
The coefficient of static friction between a block and a horizontal floor is...
I am having difficulty in understanding the solution to the problem described below and illustrated by a rather crude Paint sketch I made:
“Each propeller of the twin-screw ship develops a full-speed thrust of 600kN. In maneuvering the ship one propeller is turning full speed ahead and the...
Forgive the lack of TeX. I'm too lazy to type it out right now. For reference, these are problems 13 and 14 in chapter 11 of Rudin's Principles of Mathematical Analysis, slightly reworded for lack of pretty mathematical symbols.
Homework Statement
Problem one: I need to show that the...
Hello everyone, can someone clear up these Big Bang problems for me?
As far as I know quantum physics is a set of physical laws and rules describing our universe. If so, how can we say the Big Bang sprang from a quantum fluctuation if there was no Universe (and hence no laws of quantum...
Homework Statement
http://www.webassign.net/pse/p28-09alt.gif"
We're suppose to find the current on the R resistor(32 ohms) and then find the potential difference between point a and b.
The attempt at a solution
For the first problem I'm having a little problem getting this started. I tried...
Homework Statement
I've attached an image. The question states:
Replace the three forces shown, with an equivalent force-couple system at point O(origin).
I've got a little ways, but I am stuck at the couple. I don't know how to use the distance in the couple. Need to know what...
Homework Statement
a) integral of e^(x^2) (ie, integral of e to the x squared power)
b) integral from -1 to 6 of the square root of 3 plus the absolute power of x (sorry i don't know how to make it look nice on these forums...havent learned the code for it yet)
c) this one is...
Homework Statement
Ok, I have 3 couples applied to a bent bar. The axis is with the z going up, y left and right, and the x basically out of the page(or kinda to the left a bit).
The pipe goes 28in to the right(on y axis), where the pic show a 100lb force pointing down from the +z...
Homework Statement
Problem 1. If I had a wavefunction: \Psi(x,0) = A(\psi_1(x) + \psi_2(x))
What is the probability of getting E1 or E2 as your energy?
Problem 2 You have a wavefunction:
\Psi(x,0) = Ax; 0<= x <= a/2 ; A(a-x); a/2<= x <= a
What is the probability that an energy...
So I started my REU a couple days ago...
I will be working on growing Aluminum Nitride wide bandgap semiconductors by molecular beam epitaxy. I am not sure what my specific project will be yet sicne I just started. My advisor has had me read a textbook on MBE technology, and he had me read up...
Number 1
A guy who likes watching trains enjoys walking to a nearby railroad track to wait for a train to go by. Every time, upon his return, he makes a note of whether the one he saw was a passenger train or a freight train. Over the years, his figures show that 90 per cent of the trains have...
Homework Statement
1) From the observation that there's an electrostatic attraction between object A and B, what's the most you can conclude about the electric charge on A and B?
2) A plastic sphere with a positive charge of 4.8E-19 C is held stationary in a gravitational field of strength...
Homework Statement
A flatbed truck is carrying a 3200-kg crate of heavy machinery. If the coefficient of static friction between the create and the bed of the truck is 0.65, what is the maximum rate at which the driver can decelerate when coming to a stop in order to avoid crushing the cab...
but I don't have any research experience, my GPA is decent but I'm sure it'd be over a 3.5 at least by the time I'm actually done next semester, and a couple of professors seem interested in letting me do research and stuff for them the next semester or so
would it be worth it to hold off the...
Homework Statement
k so we are doing a lab on determining the chemical formula of a hydrate (CuSO4.xH20) wat i need help on is these following questions:
1. suppose the hydrate was heated too quickly and some of it was lost as it spattered out of the container explain how this would affect...
okay so here's the question...can anyone figure it out... the question is... Sound with a frequency of 442 Hz. travels through steel. A wavelength of 11.66 m is measured. Find the speed of the sound in steel. Please help...i really need some direction
I am having some trouble with a couple of physics h/w problems and would appreciate any help you can give me..
Julie pulls a 61.5 N bag a distance of 278 m at a constant velocity. The force she exerts is 48.4 N at an angle of 66.8 degrees above the horizontal.
I found the work julie does on...
I have no idea how to do this first one
1. Youre coasting with a friend on a sled, going a constant velocity, having a momentum of +120kg m/s when suddenly your friend bails off the sled. Assuming there are no net external forces acting on the system which of the following gives a correct...
I've got a couple of BVP's I'm working on that are giving me some problems. First, I'm asked to solve the 1-D Heat Equation:
k \frac{\partial^2 u}{\partial x^2} = \frac{\partial u}{\partial t}
in a thin rod of length L subject to the following:
BC1) u(0, t) = 0
BC2) u(L, t) = 0
IC) 2...
Please confirm my answers
1) definite integral 0 to 1 [1/1+x^2 + 9e^x - 1/sqrt(x)]
= tan^-1(x) + 9e^x - 2x^1/2
I know that to evaluate it I just plug in b for x - a for x
2) indefinte integral sin(3t)cos(3t)
= 1/3 (-cos(3t)sin(3t))dt
when a couple acts on an object it will tend to rotate it and it will not tend to translate it
But the sentence "tend to rotate" but tend to rotate about which point or axis?
I'm having trouble with these two questions.
Problem 1: Prove that the multiplicative monoid N of natural numbers 1, 2,... is a free commutative monoid.
Problem 2: Is the multiplicative monoid N isomorphic to the additive monoid N_0 x N_0 x ...x N_0 (n times), for any n = 1, 2,...? Prove...
help needed on a couple questions - electric fields
anyone able to lend a hand?
1. How many excess electrons must be added to an isolated spherical conductor of diameer 30.0 cm to produce an electric field of 1155 N/C just outside the surface?
permittivity of free space and charge on an...
there's a couple of problems that i have to give in at the end of this lunctime that i just can't work out how to approach or what formulas to use:
1. A 70g tennis ball falls 2 meters and bounces back up to a height of 1.9 meters
(a)How much kinetic energy does the tennis ball have...
a) if f and g are continuous on [a,b] then:
int [f(x)g(x) dx] = int [f(x) dx] * int [g(x) dx]
i said false.
b) if f is continuous on [a,b] then
int [xf(x) dx] = x int [f(x) dx]
again i said false (x isn't constant)
I am sorry if this has been posted before. I just stumbled over this link and it got me drooling:-p
http://ads.harvard.edu/books/
Does anyone know if the fundamentals of stellar astrophysics by Collins is a good book?
Why don't elctrons just go and stick to the protons in the nucleus as they are opposite charged particles, why do they keep orbiting them.
Another question related to this.
Why don't planets just go and crash the sun due to gravity, why do they orbit around it,Who told them or set them in...
While studying for my final exam in physics I have come across some problems that I need resolved.
1) Suppose a the energy required to bring an electron in the ground state of an atom to the second energy level is X J and the energy to bring it to the third is Y J. What happens to a photon...
1. A ship with a long anchor chain is anchored in 11 fathoms of water. The anchor chain is being wound in at a rate of 10 fathoms/minute, causing the ship to move toward the spot directly above the anchor resting on the seabed. The hawsehole ( the point of contact between ship and chain) is...
Hey folks, new guy here!
I have a couple of, what I believe to be, pretty elementary physics questions. I hope you can help me adjust my formulas and help me figure this out!
I have this formula for calculating how long it takes an object to fall a certain distance:
Time(squared) = (2 x...
Hi everyone.
I have this problem and I don't even know how to start it!
If you are familiar with my previous posts, you know that I usually have most of a problem completed before posting here with my difficulties, however, I cannot even start this one! I don't think there is enough...
Think and Explain
1. Why is it important that the resistance of an extension cord be small when it is used to power an electric heater?
2. Will the current on a light bulb connected to 220V be more or less than when the same light bulb is connected to 110V? How much?
3. In 60- Hz...