Minimum Definition and 1000 Threads

Find the minimum of the function $y=2a+\sqrt{4a^2-8a+3}$.

Homework Statement Homework EquationsThe Attempt at a Solution Honestly I have very little idea about this problem . The contact force has to vanish for particle B to loose contact .Not sure how to relate the velocity of upper particle with the normal contact force of the lower particle ...

Homework Statement What is the minimum acceleration with which a 40.0kg person slides down a rope that can withstand a maximum tension of 350N and have the rope not break? Homework Equations Fnet=ma The Attempt at a Solution see upload

Homework Statement A helium-neon laser ( ##\lambda =633nm##), is built with a glass tube of inside diameter 1.0mm. One mirror is partially transmitting to allow laser light out. From an optical perspective, the laser beam is a light wave that diffracts through a 1.0mm diameter circular...

Homework Statement Homework EquationsThe Attempt at a Solution Doing a vertical force balance 2Fcosθ=mg ,where m is the mass of water . Not sure how to proceed . What role does the pin hole at the top play ? I would be grateful if somebody could help me with the problem.

For positive real numbers $p,\,q,\,r$, determine the minimum of the function $f(x)=\sqrt{p^2+x^2}+\sqrt{(q-x)^2+r^2}$.

Is there a method to find the minimum number of generators ##\big<a_1,a_2,\cdots,a_k\big>## needed to generate ##\mathbb{Z}_n^*## such that ##\mathop{\cap}\limits_{n=1}^k \big<a_n\big>=\{1\}## other than by just looking for them and checking orders and products of group elements? For example...

I have a question :x Technically, particles, like photons, which don't interact with the higgs field travel at the speed of light. wouldn't the absolute minimum speed limit be something that interacts infinitely with the higgs field?

I have a similar logical "gap" in my understanding that I still haven't resolved... which seems to be right on point with this thread if I call it "minimum amount of energy required to accelerate a given mass". From what I know about SR, accelerating mass takes energy which increases...

What is the minimum speed in the universe ?

Homework Statement Show that E must exceed the minimum value for V(x) for every normalizable solution to the TISE, Hψ = Eψ Hint: rewrite the TISE as d2ψ/dx2 = (2m/ħ)(V(x) - E) Homework Equations I understand how to get the TISE Hψ = Eψ into the form of the hint by using the hamiltonian and...

Hello! (Wave) A $m \times m$ grid is a graph of which the vertices are ordered pairs of natural numbers $(n_1, n_2)$ with $1 \leq n_1 \leq m$ and $1 \leq n_2 \leq m$. Two vertices $(k_1,k_2)$ and $(k_3,k_4)$ are neighbors iff $|k_1-k_2|+|k_3-k_4|=1$. We suppose that a unique number $y_w$ is...

Member warned about posting without showing an effort 1. Homework Statement 'Using the graphing function on your Graphics Calculator, or otherwise, determine the radius for a minimum Surface Area.' I HAVE NO IDEA WHAT TO DO? Homework EquationsThe Attempt at a Solution

Homework Statement Calculate the minimum beam energy in a proton-proton collider to initiate the p+p→p+p+n0 reaction. The rest energy of the no is 547.3MeV.Homework Equations For a head on collision between particles a and b, from conservation of total energy: Ex = Ep + Ep' = 2Ep so that...

I'm at wits end. I hate WileyPlus. Part A, B and C are correct. I cannot figure out what Part D is -- all of the answers I am getting are wrong. Homework Statement Homework EquationsThe Attempt at a Solution

Homework Statement A rectangular region of 125,000 sq ft is fenced off. A type of fencing costing $20 per foot was used along the back and front of the region. A fence costing $10 per foot was used for the other sides. What were the dimensions of the region that minimized the cost of the...

Homework Statement The potential difference Δϕ between the plates of a spherical capacitor is kept constant. Show that the electric field at the surface of the inner sphere will be a minimum at a = b/2, where a is the radius of the inner sphere and b is the radius of the outer sphere. Homework...

Let $a,\,b,\,c$ be real numbers such that $a^2+2b^2+c^2+ab-bc-ac=1$. Find the minimum possible value of $a$.

Homework Statement Find the minimum amount of energy required to eject electron from the metal surface inside the h/e apparatus's photodiode. Homework Equations Photoelectric Effect Equation E = hf = hc/ wavelength = eV0 The Attempt at a Solution Does the metal surface inside the h/e...

Find the minimum of $\large \log_{a_1}\left(a_2-\dfrac{1}{4}\right)+\log_{a_2}\left(a_3-\dfrac{1}{4}\right)+\cdots+\log_{a_n}\left(a_1-\dfrac{1}{4}\right)$ where $a_1,\,a_2,\cdots,a_n$ are real numbers in the interval $\left(\dfrac{1}{4},\,1\right)$.

Hello, want to know if it's correct 1. Homework Statement X and Y two random variables iid of common density f and f(x)=x*exp(-x²/2) if x≥0 and f(x)=0 if x≤0 and Z=min(X,Y) Find -The density of Z -The density of Z² - E[Z²] Homework EquationsThe Attempt at a Solution 1.[/B] FZ(u) = P(min(X,Y...

Homework Statement A radar receiver can be tuned to detect signals are different wavelengths. If the frequency difference between the minimum and maximum wavelength is 10 GHz and the minimum detected wavelength is 4910µm. What would be the maximum wavelength? Homework Equations λƒ=c The...

Homework Statement My question is quite specific, but I will include the entire question as laid out in the text Consider the problem of minimizing the function f(x,y) = x on the curve y^2 + x^4 -x^3 = 0 (a piriform). (a) Try using Lagrange Multipliers to solve the problem (b) Show that the...

Homework Statement Show that the minimum conductivity of a semiconductor occurs when n0 = ni√(μh/μe) Derive an equation for the minimum conductivity Calculate the (i) minimum and (ii) intrinsic conductivity for silicon. State the assumptions you make and the origin of any material properties...

Hey thanks for reading:) I'm trying to learn calc and I thought it would help if I could figure out how to do this... For school I have a physics paper on artificial gravity and how it could work... I didn't post this in HW help because It's more of a written thing and I just got sidetracked...

Homework Statement A motorcyclist must cross a ravine. The far side of the ravine is 2.0 meters higher than the launch point, a ramp that makes an angle of 40◦ with the horizontal. If the ravine is 10.0 meters wide, what minimum speed v must the biker have when leaving the ramp to successfully...

Let $x,\,y,\,z$ be the lengths of the sides of a triangle such that $x+y+z=3$. Find the minimum of $\dfrac{4xyz}{3}+x^2+y^2+z^2$.

Homework Statement A person is dragging a packing crate of mass 100 kg across a rough floor where the coefficient of kinetic friction is 0.400. He exerts a force F just sufficient to keep the crate moving at a constant velocity. At what angle above the horizontal should his pulling force F be...

Homework Statement A parallel circuit like that in the figure forms the tuning circuit for an AM radio. If the inductor has a value of 8.6×10-6 H, what must be the maximum and minimum values of the variable capacitor if the radio receives frequencies from 590k Hz to 1670k Hz? a) Maximum C? b)...

Homework Statement Homework Equations F = ma; f = µN The Attempt at a Solution Let F' be the action-reaction force between box m and box M f be the friction on small box m For small box m: F' = ma f - mg = 0 µF' - mg = 0 since f = µF' µma - mg = 0 since F' = ma a = g...

let $f(x)=\left |sin\, x+cos\, x+tan\, x+cot\, x+sec\, x +csc\, x \right |$ please find minimum $f(x)$

Hi there, I was reading one of my textbooks and I had a thought. For a black hole, there is minimum orbiting radius of ##R_{min}=3R_s## where ##R_s## is the Schwarzschild Radius. This minimum orbit is created by the fact that in order to obtain an orbit of that radius around a black hole, you...

Homework Statement The Attempt at a Solution Looks like the graph would be a parabola? And since it's a>0 it would be upward and therefore a minimum. Not sure what that would be. Unsure how to solve the rest[/B]

Hey guys. Could anyone give me an what the criteria for minimum engagement length of a bolt is? The bolt I'm using is M10x1. Thanks!

I have a motorcycle battery which is 6Ah, with a maximum charging current of 0.6A/h. Is there a method of charging it whilst using a 2.7Adc (4A RMS) charger? I was thinking using resistors in parallel or series between the charger and the battery, but I am not sure exactly how.

Homework Statement The energy of an electron in a hydrogen atom is: E = p^2/2m_e - \alpha e^2/r; where p is the momentum, m_e is the electron charge magnitude, and \alpha the coulomb constant. Use the uncertainty principle to estimate the minimum momentum in terms of m_e, a, e, \hbar...

Homework Statement Hello, I am international student, so sorry for possible mistakes in English. For our science night I naively choosed project, where I will try to calculate minimal necessary speed for thrown card to destroy glass (probably wine glass). There are two videos for illustration...

Homework Statement Why is the velocity the same at minimum separation? For example, two positively charged pucks are traveling towards each other. Find the minimum separation. They oppose each other so they should slow down and reach minimum separation when their velocities are 0. It does not...

Effective potential energy is defined by U^*(\rho)=\frac{L^2}{2m\rho^2}+U(\rho) in many problems I found that particle will have stable circular orbit if U^*(\rho) has minimum. 1. Why is that a case? Why circle? Why not ellipse for example? 2. Is this condition equivalent with...

If $x,\,y,\,z>0$ and $x+y+z=1$, find the minimum of $\left(x+\dfrac{1}{x}\right)^{10}+\left(y+\dfrac{1}{y}\right)^{10}+\left(z+\dfrac{1}{z}\right)^{10}$.

Homework Statement In order to stop a car in shortest distance on a horizontal road, one should, (a) Apply brakes very hard so that the wheels stop rotating (b) Apply the brakes hard enough to just prevent slipping (c) Pump the brakes (press and release) (d) Shut the engine off and not apply...

I'm pretty sure there have to be some theorems out there, but I am probably not putting in the right search terms to be able to find them. Here's the problem: I have a signal uniquely composed of a finite summation of standing wave sinusoids (well there's some DC and other background, but let's...

Homework Statement [/B] A 3.0-m-long ladder, as shown in the following figure, leans against a frictionless wall. The coefficient of static friction between the ladder and the floor is 0.32. What is the minimum angle the ladder can make with the floor without slipping? Homework Equations...

Homework Statement Given: The friction between the block with mass 6 kg and the wedge with mass 18 kg is 0.27 . The surface between the wedge with mass 18 kg and the horizontal plane is smooth (without friction). The acceleration of gravity is 9.8 m/s^ 2. A block is released on the inclined...

Homework Statement You've taken a summer job at a water park. In one stunt, a water skier is going to glide up the 2.0-m-high frictionless ramp shown, then sail over a 5.0-m-wide tank filled with hungry sharks. You will be driving the boat that pulls her to the ramp. She'll drop the tow rope at...

Homework Statement suppose in a box there are 20 red, 30 black,40 blue,and 50 white balls.what is the minimum numbers of balls to be drawn, without replacement,so that you are certain about getting 4 red, 5 black, 6 blue and 7 white balls? Homework EquationsThe Attempt at a Solution so there...

Homework Statement The coefficient of static friction between a static friction and a 20kg table and the floor is 0.29. The coefficient of kinetic friction between the same surfaces is 0.25. How much minimum push force is required to get the table moving? How much push force is required to...

Homework Statement A ball of mass M is attached to a 1.0m pole that is pivoted on the wall at point (0,0); such that it can take the path of a circle. The ball is initially held up at rest at the point (1,0). It is then pushed with a downward force. What minimum initial velocity must it have...

Homework Statement Use technique of completing squares to Show that this function has an absolute minimum. f(x, y) = x^2 + y^2 − 2x + 4y + 1 Homework Equations Not entirely sure how completing the squares will indicate an absolute minimum.Is there some additional reasoning required? The...