Recent content by S[e^x]=f(u)^n

I've tried that, and i end up with E= [(surface charge density)*(R)^2]/[2*epsilon*(R-z)^2] where R is the hemispheres radius, and z, is a point on the z axis... i then integrate this to find the potential between R (along the z axis), and the origin, which ends up in a divide by 0 error...

Homework Statement I need to find the electric field along the Z-axis for a hemispherical open shell of radius R (open face down). the shell is oriented so its symmetrical about the Z axis. The Attempt at a Solution What I've done is set it up, taken the vector from the origin (at the...

nobody knows? did i phrase my question wrong or something?

bump. basically i need to know how to figure out work done over a non uniform 2 dimensional field. even if it requires line integrals, if someone could walk me through it

think about what would happen if it accelerated constantly tangentially, and describe that motion, and see if it fits with your problem

Homework Statement F=(5y+3x-6)i + (2x-y+4)j. find work done by the force on a particle following a triangular path with verticies (0,0),(4,0),(4,3) where the positions are given in meters. Homework Equations Int(F(x,y))dx*dy ? not really sure for 2 dimensional problems The Attempt...

nvm. I'm dumb.

Homework Statement i cannot figure out how to integrate m/(am+bv) with respect to v where a, b and m are constants. i don't know if there's some simple thing I've forgotten but i can't reduce it to a constant and a simple function of v. I'm getting really frustrated as I've been working on the...

but that x only valid under certain bounds right? and I'm having trouble figuring out what those are

Homework Statement i'm trying to solve the simple differential equation y'=(x+xy^2) 2. The attempt at a solution i get dy/(1+y^2)=xdx and then integrate over the whole thing getting the solution arctan(y)=0.5x^2+C my problem is how do i simply this down to an equation in the form...

bump :(... anybody?

you have your two times... they're written right there

Homework Statement A 17.00kg sphere is hanging from a hook by a thin wire 3.60m long, it is free to swing in a complete circle. Suddenly it is struck horizontally by a 6.00kg dart that embeds itself in the sphere. What is the minimum initial speed of the dart so the combination makes a complete...

yes... in both cases lol

whats the definition of power?