Maximum Definition and 1000 Threads

If an object is an infinite distance from a black hole and falls directly to the black hole without being affected by any other force, what is its velocity at the event horizon?

What is the maximum practical or theoretical pressure at which x-rays can be produced, as in a Crookes tube or cathode ray tube? I know Crookes tubes operate at 0.1pa and lower, but I need to know if I am at risk of producing x-rays with high voltage (60kv+) discharges at medium vacuum, as low...

The problem gives you a function describing the position of a particle moving along an x axis: x(t) = 12t2 - 2t3 With this function, one must determine the maximum positive coordinate reached by a particle and the maximum positive velocity. The first step to the problem is to take the...

Hello (Smile). I have been stuck on this question for a while. A company charges $550 for a transistor set on orders of 50 or less sets. The charge is reduced by $5 per set for each order in excess of 50 sets. Find the largest size order company should allow so as to receive a maximum revenue...

I have a flat steel bar (30 mm width, 5 mm thick, 1100 mm long). The bar has a load applied in the centre of 100N. the bar is fixed at both ends with a single concentrated load P applied mid-span the maximum yield stress is 250 MPa (250x10^6 Pa) How do I calculate the maximum load the bar can...

Hello everyone. So I have this one question which I thought was going to be pretty easy, but now I struggle with it. It says: 1. The question A rock is thrown vertically up in the air with an initial velocity of 0.75ms-1. What would the rock's maximum theoretical height be? I am currently in...

Hi, I'm familiar with the expression for calculating the built-in voltage of a p-n junction. How can I find the maximum built-in voltage before the semiconductor becomes degenerate (i.e., a bad metal) if I only know the material and the intrinsic carrier concentration at a given temperature...

Homework Statement Find the extremizing (maximum) value of the function f(x) = sin x / x using Newton's 1D method. Homework Equations [/B]The Attempt at a Solution I know the maximum point in this equation is (0, 1). When I differentiated the equation twice and used the formula above, I...

Hi everyone : I have a question: how to calculate the maximum work delivered by a turbine. Steam input T and pressure are given plus the outlet pressure only. Using Peng-Robinson equation of state. Adiabatic process. I tried to find outlet temperature by trial and error using Peng-Robinson EOS...

Homework Statement We have a wheel with [mass = 1.5 kg] and a [radius = 0.06 m]. The static friction thing between the ground and the wheel is 0.3 . WIth how much force can we pull the string spooled around the wheel without the wheel slipping. The string ends at the top of the wheel and we...

Homework Statement Hey guys, I have been struggling on this problem for a while now and was hoping I could get a little help What is wanted is the maximum value of Ro for maximum power. Homework EquationsThe Attempt at a Solution Knowing that the Maximum power transfer to Ro would be when...

Homework Statement [/B] A uniform stick is held horizontally and then released. At the same instant, one end is struck with a quick upwards blow. If the stick ends up horizontal when it returns to its original height, what are the possible values for the maximum height to which the center...

I have seen a video in which the time dilation due to velocity is explained by saying that light and light interactions inside a moving body must travel a longer distance in space, which reduces the passage of time. Video: This explanation is new to me, and in fact, I recently heard an almost...

Homework Statement So a generation with an internal resistance r delivers a voltage E. The generator is connected to a electrical circuit with a resistance R. The work W done each second in sending a current through a circuit with a resistance R is given by W =E^2*R/(R+r)^2. For constant r...

Homework Statement A platform (m = 5,0kg) is suspended from 4 steel cables whose length is 3,0m and diameter 2mm. a) How much further will the platform sink if a mass of 50kg is placed on the platform? b) What is the maximum load that the wires can hold before breaking? Homework Equations...

If I have to transfer 250 MWh through 3 phase aluminium tubular busbar what is the maximum current carrying capacity under normal condition at 80c temperature and voltage is 132kv at busbar from each 60mw 04 transformers 50hz 132/11kv stepup transformers connected on that busbar, this is not...

Find the maximum and minimum of $x^3+y^3+xy(x^2+y^2)$ given $x,\,y$ are two non-negative real numbers that satisfy $x+y+xy=3$.

Hello This is what I have attempted so far. But now I'm at utter loss at how to calculate the rest Can you help? Thanks in advance.

Homework Statement A box of mass m = 40kg is released from rest at thte top of a frictionless ramp. The ramp makes an angle theta = 45 degrees to the horizontal. After sliding fom the rigin a distance d = 2.00 m down the ramp, the box strikes a spring of force constant k = 500 N/m. The box...

A football is kicked from a tee to start the football game. If the ball is kicked at a 38 degree angle with an initial velocity of 27.1 m/s, Find the maximum height of the football as it flies through the air. I was using these equations: Voy = Vo(sine of theta) Vy = Voy + at y = 1/2(a)(t^2)...

If a string can handle a max tension of 85 N what is the largest mass that could be lifted with this string if it is lifted with an acceleration of 2.0 m/s^2 up on the moon? Let up be positive in value. Ft = - 85 N, a = 2.0 m/s^2, Fg = -1.6 m/s^2 Homework Equations F = ma -> Fg = mg -> Ft =...

What limits the speed of light to 3x10^8ms^-1? I was referred to Maxwells equations and have studied them but am not sure if this is the full answer and am unsure where Maxwell's relate anyway, the lectures I watched were unclear apart from relating to Ampere's Law. As much maths as possible...

Homework Statement Find the maximum and minimum values of f(x,y,z) = x^2 - 2x + y^2 - 4y + z^2 - 4z in the region x^2 + y^2 + z^2 <= 36. Homework Equations Lagrange multipliers The gradient of f = lambda * gradient of g <Fx, Fy, Fz> = lambda<Gx, Gy, Gz> Test for local extrema If Determinant...

I have tried to get some answers related to a humans ability to produce power and torque on cycling forums with mixed response. So I came to the experts to help me out! Basically some cyclist belief that the maximum torque a human can produce is solely limited by their body weight keeping them...

Homework Statement Let's take two spheres that are somewhat nearby. On one sphere, sphere A, there is Q units of charge. Now, we take some little bit of charge q off of sphere A, and put it on sphere B. What should the ratio q/Q be if we want the electrostatic force between the spheres to be a...

If $s,\,t,\,u,\,v$ are positive integers with sum $63$, find the maximum value of $st+tu+uv$.

Homework Statement The sinusoidal voltage output from the AC generator oscillates between 500 V and -500 V. The circuit for an ideal transformer is constructed with a generator, transformer and a 30 Ω resistor . The generator makes 4 loops with the transformer and the resistor makes 9 loops...

A simple pendulum, 2.0 m in length, is released by a push when the support string is at an angle of 25° from the vertical. If the initial speed of the suspended mass is 1.2 m/s when at the release point, to what maximum angle will it move in the second half of its swing? Let h1 be the...

Homework Statement A 2.49×104-kg rocket blasts off vertically from the Earth's surface with a constant acceleration. During the motion considered in the problem, assume thatg remains constant. Inside the rocket, a 14.5-N instrument hangs from a wire that can support a maximum tension of 37.3 N...

Homework Statement The question is showed as below. Homework Equations I don't know how to find i when the resistor is 4 ohm. I think it is quite difficult as the voltage is varying all the time. So how do I find the current? Thanks! The Attempt at a Solution

1. In general, dense fluids (such as water) produce a drag force that is directly proportional to the speed of an object moving through them. Suppose a boat is moving through the water and experiencing a fluid drag force of F=-8 v. Suppose the boat has a motor which can output up to 450 Newtons...

Hello, been thinking on this one for a little while, and can't seem to figure it out. Problem statement is: The cubic curve y = 8x^3 + bx^2 + cx + d has two distinct points P and Q, where the gradient is zero. Show that b^2 > 24c. It seems simple enough, but I can't logic it out. This...

I put basic on this because my maths skills are exactly that and I suspect the answer to this question will be fairly maths heavy. I understand that the equation to calculate the maximum height of a projectile (ignoring wind resistance) is Hmax = (Vf2 - Vi2)/2a But this only works over small...

Homework Statement Let's say you want to find the minimum and maximum observed frequencies of light observed on Earth from the sun, when considering the Earth's motion around the sun. How would you go about doing this if you assume Earth takes time X to complete a revolution around radius R...

Homework Statement :[/B] A projectile is given initial velocity 80 m/s ( V0 ) at angle 60° above the horizontal. Find the time it takes to reach to the highest point and find the maximum height. (g = -10 m/s2) Homework Equations :[/B] 1. y_{final} = y_{initial} + v_{y_{initial}}t + \frac...

Hello, The Gibbs free energy is the maximum amount of non-expansion work that can be extracted from a closed system; this maximum can be attained only in a completely reversible process. This maximum work is equal to H-TS. My question is this TS energy is what kind of energy? and from where it...

Hello! (Wave) If $f: \mathbb{R}^n \to \mathbb{R} (n \in \mathbb{N})$ and $D \subset \mathbb{R}^n$ then it doesn't generally hold that there exists a $\max_{x \in D} f(x)$, i.e. that there is a $\overline{x} \in D$ such that $f(\overline{x}) \geq f(x)$ for each $x \in D$. For example if $n=1$...

Homework Statement Initially your receiver is positioned at a distance of 8.4 cm from the goniometer and recording a maximum intensity. You move it through 10 minimums in the intensity and then stop at the next maximum intensity. The receiver is now a distance of 27.3 cm from the goniometer...

Homework Statement A weight W is supported by bar AO and cables AB, AC, and AD. Point A lies in the xy plane, if the bar and cables have the strengths listed below, determine the largest value W may have. Hint given: A FBD of joint A is recommendedto being this problem. Bar AO should be...

Homework Statement A block of mass ##M = 1 kg## is placed of a fixed rough incline of inclination ##\theta=sin^{-1} \frac{7}{10}## and coefficient of friction ##\mu=\frac{1}{\sqrt{51}}##. It is connected to a spring of spring constant 100 N/m. Initially the spring is in natural state with...

Homework Statement Here is this line in my book which says, "Although the minimum number of bits required to code ##2^n## distinct quantities in n, there is no maximum number of bits that may be used for a binary code. For example, the ten decimal digits can be coded with ten bits, and each...

Homework Statement The cords ABC and BD can each support a maximum load of 100 lb. Determine the weight of the crate, and the angle θ for equilibrium. Homework Equations ∑F= 0 ∑Fx=0 ΣFy=0 Setting derivative of an expression to zero To find critical point Second derivative test for determining...

Homework Statement A copper wire has a diameter of 204.3 mil (1 mil = 0.001 in) and a resistance per unit length of 8.31x10^-4 ohm/m. The wire is coated with plastic insulation with thermal conductivity k = 0.20 W/(m K). The upper temperature limit of the plastic is 400 K. The air surrounding...

Hello, I am building a large DC motor for a Go-kart. I have a question: How would I know how much voltage and current (the maximum values I can use) I need to make the DC motor work and spin? I'm guessing the armature size and the winded wire's length depends on how much voltage and current...

Homework Statement How can I get the maximum Current Intensity by connecting 72 cells to a 3 Ohm resistor each cell has a potential difference of 1.5 Volt and internal resistance of 1 Ohm Please don't tell me to connect them all in parallel or all in series as in parallel the potential...

Homework Statement y=(8/5)sint + (4/5) cost - (9/5)e^(-t/2) find its local max Homework EquationsThe Attempt at a Solution i have differentiated it and found out dy/dx, in order to find the local max, i have to find out the value t when dy/dx=0 but i can't solve this equation

Hello everyone. I am glad I came across this science oriented Forum site. I actually get there from Google and what I am deeply curious to know about is the amount of Maximum Voltage my 3.5kg Air Core Electromagnet can bear. The Core of the Solenoid is 120mm in height and 13inches in...

Hello! I was looking to find out about an equation that would tell you the maximum angular velocity an electric motor can put out in terms of the geometry of the motor (area of the rotating coil, number of turns, etc), the EMF applied to the coil, magnetic field surrounding the coil, and so on...

I'm just curious, do black holes have a maximum size? In other words, if it theoretically had an infinite supply of matter to "feed" off of, would the black hole just get more and more massive or is there a point where it can no longer fit anymore matter? Will it just spit out hawking radiation?

Hi everyone, I am an electrical engineering student and in my free time, I make educational youtube videos about electronics. (youtube.com/SolidStateWorkshop). I'm working on a video right now about transistors. To help explain their operation, I am attempting to use a hydraulic circuit...