Range Definition and 979 Threads

Homework Statement a) Show that for a given velocity V_0 a projectile can reach the same range R from two different angles \theta = 45 + \delta and \theta = 45 - \delta, as long as R doesn't go over the maximum range R_{max} = \frac{V_0^2}{g}. Calculate \delta in function of V_0 and R. b)...

How do I find the range of [(4 - 4x^2)/(x^2 + 1)^2] > 0 algebraically? Do I set the numerator to 0 and solve for x? Do I set the denominator to 0 and solve for x?

Homework Statement I did an experiment on how stretching a rubber band, affects the range or distance of a projectile shot. Variable list: Independent Variable Amount of stretching Dependent Variable Range or distance I created my catapults on my own and used two different rubbers bands...

Homework Statement [/B] An ammeter has a range of 10mA or 0.01A and a resistor of 20Ω. Three shunts are used: R1 = 4Ω ; R2 = 2Ω ; R3 = 4Ω What will the different ranges be (m3, m2, m1)? The Attempt at a Solution [/B] I started by calculating the voltage: Ua = Ia ⋅ Ra Ua = 0.01A ⋅ 20Ω =...

Homework Statement I'm about to conduct an experiment about factors that affect the flight of an elastic band. The aim of this experiment is to find how the angle of launch, when shooting a rubber band, affects the range or distance of the shot. Do you suggest to consider the drag force? like...

Homework Statement I'm doing a lab report about how the launch angle affects the range of a projectile. Independent Variable Angle of Launch Dependent Variable Range or distance I did an experiment with three trials and here are my results: And then plotted the data. However, it's a...

as far as i know, when plugged in, SLM 's change index of refraction to accommodate the phase changes happening to the input (light). Is there a range for the possible values of the index of refraction?

I am not sure if this is the best place to ask and I will change locations if need be, but I need some guidance on how to choose a proper sensor for my project. I am currently working as part of a team on a polarimetric camera for ocean imaging. The basic premise is that images, from above the...

I am investigating the nucleation on solid surface during liquid-liquid phase separation, I know the free energy change is and I don't know if it is correct to get Can someone calculate it to have a check?

What is the most accurate range finder have you come across? If the laser hit a surface that won't reflect.. would it still register?

arXiv:1703.05772 [pdf, other] Newly-Discovered Anomalies in Galactic Cosmic Rays: Time for Exotic Scenarios? Mikhail Malkov Comments: Cosmic Rays beyond the Standard Model, San Vito, 2016, this http URL, conference paper Subjects: High Energy Astrophysical Phenomena (astro-ph.HE) Recent...

Homework Statement Find the range of K for the closed loop system to be stable. ##G_{OL}(s) = \frac{10}{s-5}## Homework EquationsThe Attempt at a Solution ##G_{CL}(s) = \frac{KGol}{1+Gol}## ##G_{CL}(s) = \frac{10K}{s-5+10K}## ##-5+10K>0## ##K>\frac{1}{2}## is this correct?

Homework Statement I am very lost and would love help. Given in the description is;"A golf ball leaves a golf club at an angel 30 degrees above the horizontal and lands on the green 150 meters away initial position." With this information i am supposed to find the balls initial velocity, how...

Homework Statement Question is uploaded I have completed till part iii and obtained correct answers i. 2 ii. Basis for R:- { ( 2 3 -1 ) , (1 4 2 ) } Cartesian equation; 2x-y+z=0 iii. Basis for Null:- { ( -3 2 0 1 ) , (2 -3 1 0 ) } 2. The attempt at a solution I have problem in last part. I...

Homework Statement I am currently trying to find a way to determine the relationship between launch height and range for a projectile launched at less than horizontal. Would vary launch height to and measure range. I need a directly proportional equation or at least a linear relationship...

What am I doing wrong here? The prompt is https://www.hackerrank.com/challenges/kaprekar-numbers and my well-commented solution is using System; using System.Collections.Generic; using System.IO; using System.Linq; class Solution { // Returns the number represented by the digits in the...

Homework Statement Find the range ##y = \sqrt{\ln({\cos(\sin (x)}))}## Homework EquationsThe Attempt at a Solution [/B] https://www.desmos.com/calculator I used a graphing calculator to find the intersection between ##y = e^{x^2}## and ##y = \cos(\sin(x))##. Which I get as ##(0,1)##. So the...

assume array of N (N<=100000) elements a1, a2, ... ,an, and you are given range in it L, R where 1<=L<=R<=N, you are required to get number of values in the given range which are divisible by at least one number from a set S which is given also, this set can be any subset of {1,2,...,10}. a fast...

Hi there, As currently work for company that builds mobile apps I am looking into a way to measure whether a smartphone is outside a 5 meter range. As I am not an engineer I hope your expertise can help me out in order to come up with a right direction for further research. NFC, RFID, GPS...

range of function $\displaystyle f(x) = \frac{(1+x)^{0.6}}{1+x^{0.6}}\;\forall x \in \left[0,1\right]$

Homework Statement f(x,y) = 1/y^2-x find the domain of f. Given c ∈ R \ {0} find (x, y) ∈ R 2 such that f(x, y) = c. Finally determine the range of f. Homework Equations I know that the domain of the function is anywhere that the function is defined. The Attempt at a Solution in the case of...

can anyone help me ? i have a homework and i did't find any answer for it the question is find the Domain , Range , matrix and the digraph for the relation R a ) A = { 1,2,3,4,8 } = B , aRb if and only if a=b b) A = { 1,2,3,4,6 } =B , aRb if and only if a multiple of b

I have a chemical reagent that says: Assay ... 93.0 ~ 103.0% Which value should I use in theoretical computations? Should I take the average or the lowest value? Thanks!

Homework Statement Radar (radio wave) is placed 35m above sea level. Calculate working range of radar. Homework Equations So I have found various different formulas for range but they all are very complicated with respect to my example. I only have 1 known variable - height. The Attempt at...

Homework Statement I'm currently working on a homework set for my intermediate QM class and for some reason I keep drawing a blank as to what to do on the first problem. I'm given three potentials, V(x), the first is of the form {A+Bexp(-Cx^2)}, the others I'll leave out. I'm asked to draw the...

Homework Statement Here's a similar problem to the one in my book (I don't want to post the one in my book as I don't want to cheat): The gravitational acceleration on Mars is 3.719[m/s^2]. The gravitational acceleration on Earth (excluding air friction and other places) is 9.81. the initial...

Hello guys! I have become a little curious, but what is the sound frequency range of which a phone can emit (from a speaker)? Can a smartphone, like a Samsung Galaxy, emit anything below 15Hz? My main concern is that I hope my phone can emit 7.83Hz but I am a little unsure if my phone is able...

Homework Statement [/B] The function ##f##, ##{f: ℤ → ℚ}## defined as ##f(a)=cos(πa)## The function ##g##, ##{g: ℚ→ ℝ}## defined as ##g(a)=(5a)/4## Let h be the composite funciton ##h(a)=f(g(a))## What's the range of this function h? Homework Equations [/B] ##h(a)=cos(5πa/4)## The domain...

Homework Statement "In the Olympiad, some athletes competing in the standing long jump used handheld weights called halteres to lengthen their jumps. The weights were swung up in front just before liftoff and then swung down and thrown backward during flight. Suppose a modern ##78kg## long...

Looking for recommendations for two commercially available films and coatings, the best for... #1 - Maximum reflectance, regardless AOI, for short wave sunlight primarily and, secondarily, reflects some or a lot of long wave, and thirdly, also good emissivity for any of the spectrum. Appreciate...

I was just wondering in writing the range of values for which the function is increasing or decreasing in in a positive or a negative way , The difference caused by the use of the symbols $'>'$ and $'≥'$ or in $'<'$ or $'≤ '$ For example If we consider the graph of the function...

Hello, I'm sorry for registering to the the boards and immediately posting a new thread. I did use the search function to try and find a similar thread that addresses the issue I'm having but nothing jumped out at me and frankly I'm so green that I wouldn't know what to look for. This is my...

I'm doing a project where I need to hand power for dc motor (12V or 24V) and charge a super capacitor, and then use it to drive another 48V dc motor. I want to know which Super capacitor will be suitable? Please give suggestions for Super capacitor specifications for both 12V and 24V that will...

Please check the youtube video on sizes from Planck length to whole universe . My question is at 1:34 instance. What is the range of the size for the quantum effects to happen at noticeable state i.e. as per the sizes shown in the video from which point upto which point we can expect the...

Homework Statement Hi, this is not really an academic homework but it is something I'm trying to solve for my future project. I have a background in electrical engineering hence I'm having a hard time solving the forces problem. https://dl.dropboxusercontent.com/u/43124243/Force_problem.png...

with at most k swaps. (In other words, like the largest number formed by swapping k digits.) Example. A=[4,2,3,5,1], k = 1 ---> [5,2,3,4,1] I'm wondering why my algorithm is failing the test cases which I'm unable to see. using System; using System.Collections.Generic; using System.IO...

Homework Statement Suppose f is a function with domain [-2,10] and range [5,10]. Find the domain and range of the following functions. (a) f(2x+4) (b) 2f(x)+4 The Attempt at a Solution [/B] Would I just substitute the in the domain and range values to find the answer?

Homework Statement I was doing some multiple choice questions. One question was: "Which of the expressions below has the largest value for 0 < x < 1 The two relevant options (dismissing those obviously wrong) were: x-1 (can't do superscript on my iPhone - that should read X to the power of...

Homework Statement Let P2 be the vector space of all polynomials of a degree at most 2 with real coefficients. Let T: P2→ℝ be the functioned defined by: ##T(p(t)) = p(2) - p(1)## a) Find a non-zero element of the Kernel of T. (I think I figured this one out, but I'm not too sure). b) Find a...

Here is a basic inequality question for which I cannot understand the answer: If $$-1<a-b<10 ,and -3\le b\le1$$ then what inequality represents the range of values of a2? I plug-in -3 and 1 for b for boundaries and get -4<a<11. Since the boundary is for a2, the range would be 16<a2<121. But...

Hello, This is a very basic question but bothering me on some exercises. , Then how is the range of y is ? What if x is 0, then we can have y = 1 or y = -1. While doing some exercises I encountered this issue and can't match the answers. Thanks in advance

Homework Statement You have a device that can measure sound waves only if the frequency of the wave is in the range ##0.8 kHz- 20 kHz##. You have a whistle that produces sound waves at ##21.5kHz##. You ride a bike moving away from a wall, at the same time you blow the whistle and hold the...

Ok, the reason for my absence is I have been working on a project of building a multitasking Robot. Since the connection of Robots to Physics never entered my mind I assumed I have nothing of value to add to any discussion on the PhysicsForums. If anyone is interested in the problem that I am...

Hey, I am writing a report where I am trying to investigate the effect of initial velocity on the range of a projectile. Does anyone know any graphs I could use to help me find the range? Thanks,

How come gravity and electromagnetism have an infinite range, while the strong nuclear force dies out quickly? I understand that the weak force's bosons, the W+, W- and Z (neutral), have relatively large mass, and decay quickly, while the photon and the graviton (theoretical carrier of gravity)...

Homework Statement You have been stranded on a deserted island. Fortunately, you managed to bring a flare gun. You can see a ship 300. m off shore. Unfortunately, because of the daylight the ship cannot see your flare unless it is within 100. m of the ship. A.) If you fire the flare gun from...

Hello everybody, I am currently working on a research project and need to record the IV curve of a plasma discharge. Our current setup is pretty cool. We just have a web camera setup and using python+OpenCV we make meter reading inferences based off true/false statements based around what...

Hey guys. I play a lot of airsoft, I also like physics, in airsoft LOADS of physics is in place there. Basically, it's paintball, with realistic guns, shooting plastic BBs. So, the question, if I shoot a 0.4g BB at 284 it will create I think 1.49 joules of energy. When said BB is traveling...

Homework Statement I am studying for an Optics exam and in one of the practise tests is the following question: "Over what frequency range are Maxwell's equations valid?" Homework Equations Maxwell's Equations The Attempt at a Solution I've searched through my Griffiths Intro to...

Is there a formula or equation to find out how heated a place x meters/kilometers from a heat source will be, if we have the size of the heat source, it's shape, it's surface temperature, it's inner temperature, everything? + the distance between source of heat and the specific location is...