Constant a Definition and 23 Threads

(P.S! this is an open question, feel free to answer)

I've worked through it doing what I thought I should have done. I normalized the original wavefunction(x,0) and made it = one before using orthonormality to get to A^2(1-1) because i^2=-1 but my final answer comes out at 1/0 which is undefined and I don't see how that could be correct since A is...

Hi. My question is regarding toy car A. If the car moves to the left, is the constant acceleration of ##2.40 \frac {cm} {s^2}## to the left or to the right?

Homework Statement A jet comes in for a landing on solid ground with a speed of 100m/s, and its acceleration can have a maximum magnitude of ##5.00m/s^2 ## as it comes to rest. (a) From the instant the jet touches the runway, what is the minimum time interval needed before it can come to rest...

The ideal gas law is given as ##PV=nRT## where ##R## is said to be the universal gas constant equal to ##0.082056\frac{L⋅atm}{mol⋅K}##. ##R## is said to be a constant, and thus cannot change even if we change the values of ##P,V,n,T##. I don't see how this is possible, because the way we found...

I've run across several instances while doing homework where a question will have two solutions. One will be an equation, and the 2nd will be a constant (usually zero). I can't figure out why this constant is a solution though. For example, take the following differential equation...

Hello, This is an advanced forces problem from introductory Calculus with Physics. I have mostly solved the problem I am posting here but am just missing a force on my diagram somewhere. M. The jpeg below "MassCartTheProblem_1.jpg" shows a picture of the situation and the goal is to find the...

You are given an equation and a point. In each case, find the value of the constant a so that the graph of the equation passes through the given point. y = -5x - a; (-4, 1) Solution: Let x = -4 and y = 1 y = -5x - a 1 = -5(-4) - a 1 = 20 - a 1 - 20 = - a -19 = -a -19/-1 = a 19 = a...

The Lagrangian density for cosmological constant is $${\cal L} = \sqrt{g}\Lambda$$ Let us write, schematically, $$g=\eta+h$$ where ##\eta## is the flat Minkowski metric and ##h## is the spin-2 field. Expanding the square root for small ##h## we get something like $${\cal L} = \Lambda + h\Lambda...

Homework Statement An 8.5 gram slug is fired East from a 0.357 magnum hand gun held 1.5 meters above the ground. The muzzle velocity (as the projectile leaves the gun) is 1400 ft/sec. The bullet is accelerated at a constant rate as it travels through the 10 cm long barrel. After leaving the...

Homework Statement A falling stone takes 0.28 s to travel past a window 2.2 m tall. From what height above the top of the window did the stone fall? So from this problem I think I have these variables: vo = ? (or 0 because falling usually indicates 0 for an initial velocity?) yo = 0 y = 2.2m...

Homework Statement Two cyclists, Anant and Beth, are standing on a straight road a distance d=22.0 m apart. Simultaneously, they begin to move toward each other, Anant with acceleration a_A=0.2 m/s^2 and Beth with acceleration a_b=0.10 m/s^2. Just as they begin to move, a bee, sitting on...

hey guys! I'm really confused as to what this question is trying to ask me! can someone help me out :) Air pressure decays approximately exponentially at about 0.4 per cent for each rise of 30 metres above sea level. If we let p = p(h) denote air pressure (measured in some appropriate units) at...

Homework Statement Show that \|x\| \leq A|x| \forall x \in \mathbb{R}, where A \geq 0. Homework Equations We know the norm is a function f: {\mathbb{R}}^{d} \to \mathbb{R}, such that: a) f(x) = 0 \iff x = 0, b) f(x+y) \leq f(x) + f(y), and c) f(cx) = |c|f(x) \forall c \in \mathbb{R}...

The following is a quote from Wikipedia on Irrational Numbers (the bold is mine): If this is the case and there is no "small indivisible unit that could fit evenly into one of these lengths as well as the other", then how can Planck's Constant be true, unless it is a paradoxical number that is...

Homework Statement Liz rushes down onto a subway platform to find her train already departing. She stops and watches the cars go by. Each car is 8.60 m long. The first moves past her in 1.50 s and the second in 1.10 s. Find the constant acceleration of the train. Homework Equations...

Homework Statement Find (in terms of the constant a) lim (√8(a+h) - √8a)/h h=>0 Homework Equations The Attempt at a Solution I tried a few ways of simplifying the numerator and trying to cancel out the h's but each time I try it doesn't come out right at all or I still...

A hot rod can accelerate from 0 to 60 km/h in 5.4 s. (a) What is its average acceleration, in m/s2, during this time? (b) How far will it travel during the 5.4 s, assuming its acceleration is constant? (c) How much time would it require to go a distance of 0.32 km if its acceleration...

Homework Statement As soon as a traffic light turns green, a car speeds up from rest to 50 mi/h with constant acceleration 9.00mi/h*s. In the adjoining bike lane, a cyclist sppeds up from rest to 20 mi/h with constant acceleration 13mi/h*s. Each vechicle maintains constant velocity after...

Homework Statement Question: Given that Wavefunction Fi = A exp[b*mod(x)], which b is a non zero positive constant. Calculate the normalisation constant. Homework Equations 1 = Integrating Mod square (Wavefunction) from minus infinity to positive infinity The Attempt at a Solution...

Homework Statement Kathy has a sports car that can accelerate at the rate of 4.90m/s^2. She races with Stan. Both cars start from rest but experienced Stan leaves starting line 1.00s before her. Stan moves with a constant aceleration of 3.90m/s^2 and Kathy maintains an acceleration of...

I want to make a little calculator that will - take a distance (such as, say, 20.7 light years) and, - with a given acceleration (say, 1g) followed by deceleration, spit out the time elapsed. I don't know how to fold Lorentz' velocity function into the formula for t as a function of d...

Homework Statement The wave function of a particle is Y(x,t) = A e^-kx*e^-iwt for x greater than or equal too 0, and it is zero everywhere else. What is the numerical value of the normalization constant A for k=5.55 1/nm and w =7.19 1/ps? Homework Equations intergral Y^2=1 The...