well the definition in my book gives:
Q quadric surface is the graph of a second-degree equation in three variables x, y, and z. So i guess cause its the graph of a quadratic equation in 3-D.
In my differential equations book there is this step, that i don't know how it goes from one side to the next.
(t^2)y' + 2ty = ((t^2)y)'
cause, on the left side I factor out a t, and i get t(ty'+2y) ...so do i have to learn partial derivatives in order to get from the left side to the...
ok, so far i tried this. I know e^(lnx) = x
so, i broke the e^(2ln|t|) into to parts:
e^2 times e^(ln|t|) which equals t (from the top identity)
so I am left with e^2 times t. which is te^2
but the book says it equals t^2..so what happened to the e? (exponential function)
OK, first i had particle1 had -1 charge, and neutral particle 3 had +0.5, and -0.5 charge (since it is the same size as particle 1). When they touch, I added up the charges and divided by two, since the charges would distribute equally, so both end up w/ -0.75 and +0.25 charge.
Next...
Identical isolated conducting spheres 1 and 2 have equal amounts of charge and are separated by a distance large compared with their diameters (Fig. 22-20a). The electrostatic force acting on sphere 2 due to sphere 1 is F. Suppose now that a third identical sphere 3, having an insulating handle...
Thanks math student. Ok this is what i got so far, I'm not sure if I am approaching it correctly.
I used F=ma for the first particle.
F = (6.3 x 10 ^-7)(7.0 m/s^2)
I got F = 4.41 x 10^-6 N
So, using Coulomb's Law I set this F
F = k (q^2/(3.0 x 10 ^ -3)^2) since...
Hi all, I am having trouble on where to start w/ this problem:
Two equally charged particles, held 3.0 10-3 m apart, are released from rest. The initial acceleration of the first particle is observed to be 7.0 m/s2 and that of the second to be 10.0 m/s2. The mass of the first particle is...
Our Sun, with mass 2.0 1030 kg, revolves about the center of the Milky Way galaxy, which is 2.2 1020 m away, once every 2.5 108 years. Assuming that each of the stars in the galaxy has a mass equal to that of our Sun, that the stars are distributed uniformly in a sphere about the galactic...