Range Definition and 1000 Threads

Homework Statement A narrow beam of collimated white light falls at normal incidence upon a transmission grating with 3150 lines per cm. A spectrum is formed by the grating on a screen 30 cm away. If a 1 cm square hole is cut in the screen its inner edge being 5 cm from the zeroth order...

Maxwell's equations with charges can be written as the following (in the cgs system): \frac{\partial \vec E}{\partial t} =c \vec \nabla \wedge \vec B-4\pi \vec J. \frac{\partial \vec B}{\partial t} =-c \vec \nabla \wedge \vec E. \vec \nabla \cdot \vec E =4 \pi \rho. \vec \nabla \cdot \vec...

Homework Statement Find the range of h Homework Equations h(x) = sqrt(25 + (x - 3)2) The Attempt at a Solution I factored out the (x-3)2 and simplified to get sqrt(x2 - 6x + 34) I was trying to figure out the domain first, knowing that x2 - 6x >= -34 in order for the...

Using R=v^2sin2x/g how do you prove that the angle of 45 yields the maximum distance?

Homework Statement A wire is formed into a circle having a radius of .02m and placed in a uniform magnetic field of 1*10^-4. A current of 5A passes through the wire. What is the range of potential energy the wire possesses for different orientations? Homework Equations torque=BIA...

Homework Statement For a given cdf: Fy(y) = 0 for y less than 0 = y^2 for the range 0 to 1 = 1 for all values greater than or equal to 1 the problem asks to find P(1/2 < Y < 3/4) first using the cdf and then using the pdf...

Homework Statement Let V be a finite-dimensional vector space and let T: V -> V be a linear transformation. Prove that there exists a natural number n so that Ker(T^n) (intersection) Range(T^n) = {0} Here, T^n represents the n-fold composition of T o T o ... o T Homework Equations...

Using MATLAB, how do you evaluate a function at integer values, say 1 to 1000, of x and y? For simplicity, let's say the function is z = x + y.

how can i find the range of a rational function for ex. y=1/x+1

Homework Statement A rifle is used to fire two bullets. The first shot is at an angle of 60° above the horizontal and the second at an angle of 45° above the horizontal. The speed of EACH bullet as it leaves the rifle is 200ms^1. For EACH bullet calculate the horizontal range and the...

Given a linear transformation T from V to V, can we say that the range of T is in the space spanned by the column vectors of T. And we already know that the null space of T is the one spanned by the set of vectors that are orthogonal to the row vectors of T, then is there any general...

Hi, I have a quick question on a problem I can't seem to solve. Any help =) PROBLEM Somebody drops a melon on you from a vertical distance of 60 meters directly above your head. To save yourself, you shoot an arrow straight up at the melon at the instant the melon was released. The initial...

referring to an object being projected upwards at an angle ө i'm a phys student but i don't do math so I'm having trouble understanding how this equation has been simplified. Horizontal Range= vcosө x 2vsinө/g =v^2 2sinөcosө/g this is the line i don't understand : v^2 sin^2 ө/g where did...

Hi there, can I ask where to find information on the list of buffer and its effective buffering range?

Homework Statement A particle is projected with initial velocity u\cos\alpha\vec{i}+u\sin\alpha\vec{j} m/s from a point 0 on a horizontal plane. If this particle passes through two points whose displacements from 0 are 3\vec{i}+\vec{j} and \vec{i}+3\vec{j} show that the range is...

what is the different between line integral and surface integral? If we parameterize curve by x=t , y=t , what is the range of t ? Is it 0<= t <=1? why?

Homework Statement Hi to all guys i am not good in physics and trigonometric I tried to do a projectile system.My launch point is higher than target point.I know the velocity v, target_distance d, gravity g,Launch_height_y y0.I added a image that shows the equation.I tried my own but...

Homework Statement By trying a variety of values for L_{S} and L_{L} find a transformer for which the three relationships are satisfied while, a=10. Use smallest possible inductances you need to make the transformer work properly @ 1kHz and above. Print plot with the three ratios that...

Hey Guys Im wondering if anyone could help me simplify the range formula for projectile motion. So far I've got R=2v^2 sin(theta) cos(theta)/g. Help will be appreciated. Thanks

Homework Statement Let T be the linear transformation of R5 into R3 that has the matrix A = 1 3 2 0 -1 2 6 4 6 4 1 3 2 2 1 relative to the bases [(1,1,1,1,1), (1,1,1,1,0), (1,1,0,0,0), (1,0,0,0,0), (0,0,0,0,1)] of R5 and [(1,1,1), (0,1,0), (1,0,0)] of R3. Find a basis for the range...

A very basic question: the signal reception requires that the receiver be at the communication region of the sender? Or what is important is the intersection of the comm. range of both sender and receiver? A practical example: Assume that both sender and receiver have the same hardware, antenna...

Homework Statement A projectile os launched with velocity of 200m/s at an angle of 45deg to the horizontal. Calculate: a) the maximum height reached b) the time of flight c) the range Homework Equations v^2=u^2+2as s=ut+1/2 at^2 The Attempt at a Solution I know the first 2 but...

In some papers and text, it is said that the central spot radius of the Bessel beam (take zeroth order J_0(\alpha \rho), \rho = \sqrt{x^ + y^2} as example) can be estimated to be 1/\alpha. In wonder how to obtain this relation? And does anyone know what's the smallest central spot radius of J0...

Hi, I am looking for information on a concept I am writing software for. Since I don't know much about EE, I though I'd get suggestions. I wanted to know that best setup I could use for a short range point to multipoint broadcast. The example I have is go-cart racing. Suppose you are...

Homework Statement On level ground, what is the maximum range (in m) of a cannon with muzzle speed 322 m/s? Please take a look at this: http://i995.photobucket.com/albums/af79/huybinhs/cannon2.gif Homework Equations R = (V0^2 * sin2angles)/g The Attempt at a Solution...

Homework Statement A projectile's horizontal range on level ground is R =v0^2 sin2(theta)/g. At what launch angle or angles will the projectile land at half of its maximum possible range. The Attempt at a Solution So what i did was: Half the range occurs when sin(2θ) = 0.5 So 2θ =...

How can i find the angle of which an object will be thrown the farthest? I know the angle will be 45 degrees if it were to be catched at the same height it were thrown, but what I'm looking for is the angle if it were 3meters off the ground. Thank you for the help.

I'd like to know if Kirchhoff's laws of voltage and current are valid in circuit with alternate current. If I'm not wrong, in such circuits, the E field provided by the emf is varying with time. And I've heard that Kirchhoff's laws are a special case of Faraday's law of induction but with a...

Hi, I am working on building a laser range finder and wanted to know if there is any relation between the frequency/wavelength of laser wave and the maximum distance it can measure. I read that the maximum distance it can measure depends on the power of the laser. Any other links...

The EV1 was produced in 1996 and could get up to 150 miles on a single charge, "The NiMH batteries, rated at 77 amp-hours (26.4 kWh) at 343 volts, gave the cars a range of 75 to 150 miles (120 to 240 km) per charge, more than twice what the original Gen I cars could muster."...

Homework Statement The human eyeball is approximately spherical with a diameter of around 25mm. At the back of the eye is the retina, while at the front is a compound lens comprising the cornea (of fixed focal length) and the lens itself (with variable focal length), which can be...

Theoretically, the range of gravity is infinite. OK. But the nature of the fabric of space has "building blocks" (Planck volume?) So while a localized body of mass/energy distorts space-time, the distortion decreases away from the body. I would think this has a practical limit. Just as energy...

I recently encountered the following question in my homework: "A quarterback throws a football with the same initial speed at an angle of 60 degrees from the horizontal and then at an angle of 30 degrees from the horizontal. Show that the range of the football is the same in each case...

Homework Statement Find the range for the function; fg(x) and state its range where f(x)= e^{2x} + 3 and g(x) = ln(x-1) The Attempt at a Solution Putting g into f I reach; fg(x) = e^{2ln(x-1)}+3 (1) - here is where I have the problem, now, I know that it simplifies down to fg(x)...

Homework Statement For what values of the constant c is the range of F(x) (-infinity,+infinity) F(x) =g(x)/h(x) g(x)=x^2 +2x +C h(x)=x^2 + 4x + 3CHomework Equations The Attempt at a Solution g(x)=(x+1)^2 +(C-1) h(x)=(x+2)^2+(3C-4) h(x)>g(x) for any x less then -c and g(x) has roots at -2...

v = \epsilontrans/ \epsilonaxial where ν is the resulting Poisson's ratio, \epsilontrans is transverse strain \epsilonaxial is axial strain and Poissions Ratio have range and its not more then 0.5 and not less then -1? so my question is how its value can turn "-1"? As...

Homework Statement We need to find the mass of the counter weight needed to make our projectile go a certain distance. Height = 22.5cm (The height of arm off the ground) Distance needed to travel = 1m/100cm and and 50cm Angle above horizontal = 32 degrees Projectile mass (small ball) =...

Just go through the following problem Question 1:find the range of the following function f(x)=3x2+4 for -4≤x≤3 Answer: rewriting -4≤x≤3 step1. 0≤x2≤16 step2. multiply 3 for the entire step 1. step4. add 4 for the entire step1. step5. 4≤f(x)≤52 so the above problem i have...

While studying particle physics, i saw that the range formula is the integration dE/(dE/dx) but as you know that there are no variable E in the formula. how could that integration be done? well i think we can do it by ourselves and we must use a programming language and i think the...

The electromagnetic field is mediated by virtual photons according to QED. These virtual photons, by virtue of being massive, should respond to Gravity. Therefore, in the presence of strong gravity such as that of a black hole range of EM force should be affected because very few virtual photons...

Hey all! I am working on this and got confused. Any help at all would be much appreciated! Determine the kernel and range of the transformation T and find a basis for each: T(x,y,z)=(x,y,z) from R3 to R2. I have found the kernel to be the set {(r, -r, 0)}. Range is R2. I"m not sure how...

Homework Statement A projectile is launched with an intial speed of 60m/s. If it reaches a maximum height of 150m above this level surface then its horizontal range (in m) is ____ ? Homework Equations v^{2} = vo^{2} + 2ay y = yo + Vot + 1/2at^2 The Attempt at a Solution Vo =...

Homework Statement The function f with domain 0\leqx\leq180 is defined by f(x)=2sinx/Sketch and find the range of f. Homework Equations The Attempt at a Solution well..i haven't got a clue, if i try to get value for 2sin(0) gives me zero and for 2sin(180) gives me the same answer...

Homework Statement For each of the following bijective functions find the range S and the inverse: a.) f : x |→ x² - 1 (x ∈ R, x ≥ 0) b.) f : x |→ (x + 1)² ((x ∈ R, x ≤ -2)...Not sure how to do this one, help please 2. The attempt at a solution a.)...

Help needed. Homework Statement Functions g and h are defined as follows: g : x → 1 + x x ∈ R h : x → x² + 2x x ∈ R Find i.) the ranges of g and h, ii.) the composite functions h ° g and g ° h, stating their ranges. Not sure how this is to be done help needed, please. 2. The attempt at...

why does fission chamber start to work from neutron fluxes more than source range in spite of being a kind of ionization chamber that is sensitive to gamma rays?

I was given a set of I/Q data points by my professor and asked to find the range of the target. How would one approach such a problem?

Homework Statement A shell is fired from the ground with an initial speed of 1670m/s at an initial angle of 51° to the horizontal (a) Neglecting air resistance, find the shell's horizontal range. (b) Find the amount of time the shell is in motion. Homework Equations dx=vi+.5at^2...

Homework Statement Find the range of the parameter d for which the intersection of the sphere x2+y2+z2=1 and the plane x+y+z=d is non-empty. Homework Equations Cartesian coordinates of a sphere: x=rcos\thetasin\phi y=rsin\thetasin\phi z=rcos\phi r=1 The Attempt at a Solution...

Homework Statement zero air resistance. baseball player hits ball at angle theta above the horizontal at a initial velocity of "z" m/s...how does one calculate range and max height given the fact that the ball lands several metres above where it was originally hit? Homework Equations...