Thanks for the response. The antiderivative given by Mathematica had an arctan in it, so I was thinking trigonometric substitution was to be used somewhere along the line, but all of the techniques I tried failed. It's good to hear that someone else finds it a difficult integral and that I...
Nobody? Is there anything unclear in how I've presented my attempt at a solution? I really wish textbooks would come with answers to all problems rather than only a select few. It would make self-study much easier.
Homework Statement
Four particles, two with charge +1.0 x 10^-6 C and two with charge -1.0 x 10^-6 C, are placed at the corners of a square of side 1.0 m. Each has mass 1.0 mg, and they are released from rest. Find the time taken for the square of charges to collapse to zero size.
The...
I'm guessing it's the radius that's throwing me here. I think I may have originally had it correct with:
Q=\frac{(2.4 m)Er}{2k}=\frac{(2.4 m)(3.60 * 10^{4} N/C)(0.19 m)}{2(9 * 10^{9} Nm^{2}/C^{2})}=9.12 * 10^{-7} C
My thinking was that I'd made a mistake because the radius of the shell...
I really just want to know if I'm doing this correctly, as I don't have access to the answer to check.
Homework Statement
A cylindrical shell of radius 7.00 cm and length 240 cm has its charge uniformly distributed on its curved surface. The magnitude of the electric field at a point 19.0 cm...
1. Properly banked means a car traveling at 60 km/hr will not need friction to keep it moving in a circle. The horizontal component of the normal force alone will be sufficient for the required acceleration. You can use this fact to figure out what angle the road is banked at. When the car is...
Break this into dimensions first. What are your vertical forces and what are your horizontal forces?
Since the runner is not going to be moving in the vertical direction (not coming up off the ground or sinking through it), we know the acceleration in this direction is going to be 0. By...
Drawing a free-body diagram shows that there are three different types of forces acting on you in this situation: friction, normal, and gravitational. One of them is going to be unbalanced and cause the acceleration required to keep you running in a circle. Add up the forces acting on you to...
I'm having some trouble with a couple more problems. Any help is appreciated.
Homework Statement
(a) An indestructible bullet 1.90 cm long is fired straight through a board that is 10.3 cm thick. The bullet strikes the board with a speed of 426 m/s and emerges with a speed of 278 m/s. What is...
Thanks. I knew I was excluding something. I just factored in those 2 stops and got the answer.
I used the Latex code this forum has. There is a reference for all of the codes on the post message page. You can click on the sigma icon and then "Subscript and Superscript," then the picture...
[SOLVED] Uniformly Accelerated Linear Motion
Hello,
I am attempting what looks to be a fairly easy problem involving uniform acceleration and linear motion, but my answers just aren't coming out right and I'm unable to see where I'm going wrong. Any help is appreciated.
Homework Statement...