Range Definition and 1000 Threads

Homework Statement 0.25-kg skeet is fred at an angle 30 to horizontal with a speed 25m/s. when it reaches tha max. height, it is hit from below by a 15g pellet traveling verticaly upwared at speed of 200m/s. the pellet is embedded to the skeet. 1) how much higher did the skeet go up? 2) how...

Homework Statement During a high school track meet, an athlete performing the long jump runs and leaps at an angle of 25 degrees and lands in a sand pit 8.5 m from his launching point. If the launch point and landing point are at the same height, y=0m, with what apeed does the athlete land...

When a body is fired upward with escape V (i.e 11.2 km/s) then what will be the height when the body leaves the gravitational field? I found by using formula 2gh=Vf^2 - Vi^2 keeping vf= 0 and vi=11200m/s then I got h=6400km= radius of the earth. Is it range of the gravitational field?

Homework Statement For the intercontinental ballistic missile to have a range of 16000 km, what must be the speed v0 of the missile at the end of the accelaration phase? Take the distance of the accelaration phase, called the boost time, as negligible compared to the travel time...

Homework Statement Given a linear operator T, show that if rank(T^2)=rank(T), then the range and null space are disjoint. So I know that I can form a the same basis for range(T^2) and range(T), but I'm not sure where to go from there.

Homework Statement A block of mass .5 kg is on a wedge of mass 2.00 kg. The inclined surface makes an angle of 40 degrees with the horizontal. The wedge is subjected to a horizontqal force F and slides on a frictionless horizontal surface. The coefficient of static friction between the block...

Homework Statement For the following questions, find the Domain and Range. Use either the graph or turning point method. Homework Equations 1. y= -x+6x-8 2. y= x^2-3x-5 3. y= -x^2+4x+4 And a question on the matter, when you complete the square, as in when I half the middle term...

Hi, I have some question about the full well capacity and dynamic range of the CCD camera. The following link lists some full well capacity and dynamic ragnes of some CCD cameras: http://www.andor.com/learning/digital_cameras/?docid=321 My question is how they obtain the electron numbers...

Homework Statement I am doing a proof about limits, and I need to know the range that sin(n^3-2n)/n is within for all n. Homework Equations The Attempt at a Solution I know that sin(n) is in between -1 and 1 for all n, so sin(n)/n would be in between -1/n and 1/n for all n...

Homework Statement A boy is standing on the peak of a hill (downhill), and throws a rock, at what angle from himself to the horizontal should he throw the rock in order for it to travel the greatest distance. Answer clues: 1. if, the angle from the slope to the horizontal = 60, then the...

so here it is, I want to build a sphere with pressure being exerted uniformly on all sides. the sphere will be immersed in a fluid and have mass pumped out(to create buoyancy.) I have calculated the strength of the sphere to be... C=((Pw-Pi)r)/2T where Pw=Pressure of the Water Pi=Internal...

Ultraviolet radiation is part of the electromagnetic spectrum that has wavelengths in the range of 200 nm to 400 nm. Given that the speed of all forms of electromagnetic radiation is 3.0 x 10^8 m/s, calculate the frequency range of ultraviolet radiation. Relevant equations: V =...

Hi, I am an avid home brewer and I am looking to refine my methods in the fermenting stage. For about 7 years now I have had a cupboard where the temperature of the air inside the cupboard is controlled by a thermostat. The probe is located near the bottom of the vat. There is about 650mm...

Homework Statement My lab partner and I were to find the optimum angle a nerf gun could be fired at to provide the longest distance from the starting point. We also need to calculate the initial velocity of the projectile and the range and height the projectile should have reached for each...

Homework Statement An object is shot from the origin with a velocity of 50.0 m/s at an angle of 40.0 degrees above the horizontal. What is the range of the object? Homework Equations All the 2D Motion equations - too many to write all out. Ex: V_x = V_0x + a_xt The Attempt at a...

Homework Statement f : R+ → R+ defined by f(x) = 2x h : R+ → N defined by h(x) = ⌊x⌋ (the largest integer ≤ x) g : 2ᴿ → 2ᴿ defined by g(A) = A ∪ [0,1] Homework Equations The Attempt at a Solution I know that every element of the domain has to correspond to exactly one element on...

I don't know if this could be considered a HW question, so please, moderators, excuse me if I'm posting in the wrong place. Anyways, in my physics class we did a projectile lab. We had a projectile launcher that stood a few inches above the table (from a mount) and we shot the projectile...

Does string theory predict additional long range forces gravity EM? One of the most touted features of String theory is that it correct predicts and even requires 2 infinite long range forces, gravity and E&M. I've heard that string theory though also predicts additional non-observed long...

Homework Statement Find the range of the function f(x) = \sqrt{4-x^{2}} The Attempt at a Solution f(x)=\sqrt{4-x^{2}}; -2\leqx\leq2 f(2)=\sqrt{4-(2)^2} f(2)=\sqrt{4-4} f(2)=\sqrt{0} f(2)=0 f(0)=\sqrt{4-(0)^2} f(0)=\sqrt{4} f(0)=2 Range of f=[0,2] I believe my answer...

I have no idea where to begin with this problem. To me it seems like its missing information. You desperately want to qualify for the Olympics in the long jump, so you decide to hold the qualifying event on the moon of your choice. You need to jump 7.52 m to qualify. The maximum speed at...

Homework Statement See image. a) and b) have been solved. The problem is c) Homework Equations The Attempt at a Solution I really have no idea where to begin. For the three systems given there are solutions x in range(A) for system 1 and 2 but not for 3. Therefore I have been...

Find the domain and range of y=sin^2x I have a hard type computing this into my graphing calculator. Can someone help in the steps to find the domain?

Why is it that a full range speaker is not able to deliver all frequencies at once with perfection as compared to the standard tweeder, midrange, woofer and optionally subwoofer arrangement?

hi i was trying to prepare for a project based on passive sensing of sound waves By using natural sound created naturally by blood flow may be turbulence flow of blood in blood vessels So i want to know how to calculate the frequency ranges which can be generated in the human body

Hi, The current density due to field emission on a surface is described by the Fowler-Nordheim equation J = t(y)^{-2}a\phi^{-1}F^2\exp(-v(y)b\phi^{3/2}/F) where v(y)=1 - y^2+ (1/3)y^2ln y and y=cF^{1/2}\phi^{-1} F is the applied electric field above the surface. (See for example...

My problem is this. I work on a mine, trucks have a average weight that they can carry (should be approx 180 tonnes) Every end of shift, the weightometer reading at the crusher is taken and the number of loads for each truck is stored in a database. Trucks have weightometers but I...

Hello, I was wondering if anyone know any companies which sell directly these items because it seems many of the ones i am finding are for high end applications... Any help would be much appreciated. Note: no liquids are corrosive and low viscosity etc generally just water will flow...

A = (0, infinity), B = C = D = R where R is all real numbers f: A->B, g: B->C, h: C->D f(x) = lnx, g(y) = 3y, h(z) = e^z h o g o f ? -------------------------------------------- For the following to be defined doesn't 1) range(f) ⊆ domain(g) 2) range(g o f) ⊆ domain(h) So g o f should be...

For the following to be defined doesn't 1) range(f) ⊆ domain(g) 2) range(g) ⊆ domain(h) Is that correct? So R ⊆ R for 1, and R ⊆ R for the other so it is ok? --- Second question: but how can you have the function h with the range of all real numbers when the exponential function only has a...

hey guys I'm trying to build a 38khz transmitter that works about 5m(at least) but its unsuccessful.currently I'm using this circuit. but it can't use more than 50cm. i have no idea how to increase rage. equation is f=1/(0.8*R1*C1) I have some NE555 and a 9V battery some transistors and...

I am going to invest in a copy of Win XP pro to install on my MAC. A quick search on Google for "windows xp professional" yields prices that vary from as low as $89 like http://www.softwarestockpile.com/ProductDetails.asp?ProductCode=MS-10293&click=30". What gives? Is there a difference? I...

Homework Statement Show that the range \mathcal{R}(T) of a bounded linear operator T: X \rightarrow Y is not necessarily closed. Hint: Use the linear bounded operator T: l^{\infty} \rightarrow l^{\infty} defined by (\eta_{j}) = T x, \eta_{j} = \xi_{j}/j, x = (\xi_{j}). Homework Equations...

Homework Statement I need to find the range for y in the quadratic x^2+2x+3=y Using the determinant b^2-4ac where ax^2+bx+c Homework Equations x^2+2x+3=y The Attempt at a Solution Okay, so: To use the determinant y=0, x^2+2x+3=0, in which case b^2-4.a.c = -8 So there are no real...

I have just read a book. It said that: "if symmetry is exact, interaction is a long range". Could you explain me more detailed? Thanks!

Hi, I'm working on a computer simulation to launch an object from point A to point B in 3D space. I'm currently using the range equation: Range = ( Vo^2 * sin( 2 * theta ) ) / gravity and I solved for Vo and got: Vo = sqrt( ( Range * gravity ) / sin( 2 * theta ) ) I'm...

Say we have a function, f(x)=x^3 one would say "f is a function from \mathbb{R} to \mathbb{R}" or f: \mathbb{R}\to\mathbb{R} Then say we have a vector function, \vec{g}(t)=<t^2+1,t> . How would one use the above notation? Would it be \vec{g}: \mathbb{R}\to\mathbb{R}^2 ? And...

A projectile is fired at a speed v0 from and angle \theta above the horizontal. It has a maximum height H and a range R (on level ground) Find: The angle \theta above the horizontal in terms of H and R The initial speed in terms of H, R and g and the time of the projectile in terms of...

Homework Statement The question is to find the range of values of force p such that the two strings in the picture remain in tension Homework Equations None. The Attempt at a Solution I tried to solve using moments about point C such that i can cancel out the tension in BC but it...

I was checking the NIST site with their Hydrocarbon line database search utility, and the frequencies of the lines for CH, CH2, and CH4 are on the order of 10^11 Hz approximately. That leads to wavelengths that are much larger than the visible region. Am I reading the search results...

Hi all, I have not seen a separate section for photonics, so I'll post my question here : Does anyone have measurement data of the absorption spectrum of (liquid) water in the wavelength range of 180 - 250 nm ? Thanks :smile:

Homework Statement Motion on an Incline. I did an experiment where I measured the acceleration of a cart rolling down an inclined plane using 5 different angles and comparing them to those predicted in Newton's 2nd law of motion. I am trying to figure out the equation I can use to find...

The equation describing the horizontal range of a projectile is R = \frac{v_0^2}{g} \sin{2\theta} The previous equation states that the projectile wouldn't travel any distance if launched at 0 degrees. Further, the range of a projectile decreases from 45 to 0 degrees, but it seems...

Homework Statement So I made a spring launcher that will fire marbles. I need to derive a general formula for finding range for any given angle and x value.Homework Equations 1) v22=v12+2ad 2) Ek=Es 3) 1/2mv2=1/2kx2 4) d=v*t This projectile was shot from 1.1m off of the ground. The Attempt at...

high speed wireless with extreme range I'm trying to find a way to transmit hd video and data over long distances. Thats not the hard part. Hard part is that all connection points are mobile at varying speeds and MUCH longer range than any network I've ever seen. I have enough power to use any...

Homework Statement A projectile is launched 80m/s into the air at angle x to the horizontal off the top edge of an infinitely long hill(inclined plane). The hill makes a 35 degrees angle to the horizontal a) Derive an equation for the range(maximum horizontal displacement). b) At what angle...

Homework Statement If T is a linear transformation on the finite-dimensional inner product space over complex numbers and is normal, then prove that the numerical range of T is convex. Homework Equations The Attempt at a Solution If we assume a and b are in the numerical range of...

Homework Statement Let L : Rn --> Rm and M : Rm --> Rp be linear mappings. a)Prove that rank( M o L) <= rank(L). b)Give an example such that the rank(M o L) < rank(M) and rank(L) Homework Equations None The Attempt at a Solution a)I see that (M o L) takes all vectors in Rn and...

Hey all, It’s been a while since I’ve visited the forums but my question is strangely one that I’ve had a difficult time trying to find an answer for. I was wondering if anyone either knows or can point me to information regarding the effective destruction radius of a supernova, preferably...

My analysis textbook mentioned in passing that the range of the Hausdorff dimension is all nonnegative real numbers, i.e. for any nonnegative real number a, there's some compact subset of R^n whose Hausdorff dimension is exactly a. The problem is that I don't see how to prove this (and my...

Hi all, I am faced with this question. I am asked to show that 2(\sqrt{5}-2)\pi\leq\iint_{R}\frac{1}{\sqrt{4+sin^2x+sin^2y}}dA\leq\frac{\pi}{2} Noting that the double integral is to be performed on region R which is bounded by the circle x^2+y^2=1 From what I know, the double...