Homework Statement
an object of mass m experiences a force of the form
Fx = -kx
Fy = -ky
Its initial speed is v and at that time it is at (x,y) = (0,0)
Find the period of the motion and the farthest distance from equilibrium
Homework Equations
U = -\int F(r) dr
T =...
Homework Statement
Show that B for a point charge is equal to
Homework Equations
I'm not all that sure. I read that maxwell's equations can be used to derive this, so I'd imagine that it's
The Attempt at a Solution
If it were that, then, if i have a point charge moving...
Wait, is x the distance from l1? Because then D + x is the distance from some point on the line to P2 which is what i want. Because my expression actually has d in it? It's just "a" is in terms of D, and i defined my distance variable as from x = 0. I'm not sure, it looks like x+d only works if...
Homework Statement
Coulomb force between line charges: a rod of length l1 with line charge density λ1 and a rod of length l2 with line charge density λ2 lie on the x axis. Their ends are separated by a distance D as shown in the figure.
(a) What is the force F between these charges...
Homework Statement
The density of Earth, at any distance r from it's center is approximately
p(r) = [14.2 - 11.6 (r/R)] * 10^3 kg*m^-3
where R is the radius of the Earth. Show that the density leads to a moment of inertia I = 0.330 MR^2 about an axis through the center, where M is the...
Hey guys, I'm starting my sophomore year in high school this week and I'm intending to study for the physics olympiad for the next two years but I had a question about how to manage my work load. I already get a lot of work as I go to one of those competitive high schools, but I'm making it my...
I already did it but its a different problem type that I really was unsure about so I just want to verify my solution.
Homework Statement
Problem: A 350-gram piece of metal at 100 C is dropped into a 100-gram aluminum cup containing 500 g of water at 15 C. The final temperature of the system...