Homework Statement
A hemispherical bowl with radius 8-inches is filled with punch (weighing .04 pound/in^3) to within 2-inches of the top. How much work is done emptying the bowl if the contents are pumped just high enough to get over the rim?
Homework Equations
The Attempt at a...
Homework Statement
Volume of Torus: using Shell's mehod
4\pi \int^{1}_{-1}((R-x) \sqrt{r^2 - x^2})dx
Homework Equations
The Attempt at a Solution
I don't know how to integrate this at all. I cannot use any conventional methods...or I can't think of a way... i.e. use isolate a function as...
Here's a question from my Calc HW andI believe my approach is flawed...
Two functions
f(x) = x^2
g(x) = -x^2 + 6x -5
Find the two lines tangent to both functions
I thought I could find the slope where f' and g' are equal so I did:
f'(x) = 2x
g'(x) = -2x + 6
2x = -2x +6...
I know that.
You seee (0,0) is not a point on the graph. (0,0) is a given point (outside the graph) which I need to find a line tangent to the graph with.
http://66.93.135.68/tmp_pic.jpg
Seems like a simple problem, but I have no idea how to accomplish this!
f(x) = x^2 +4
I have to find a tangent line to the graph that passes through the point (0,0).
I know the derivative is 2x, but I don't know how to mathematically figure out the which (x,f(x)) the tangent line would pass...
Definition
It's simple, the electric field is in the direction of force experienced by a small positive test charge. Hence, if protons repel positive charges (force away from the nucleus), so it points away. Convention and definition is the reason.
(a • a) would result in a scalar value
hence that scalar result would then have to be multiplied with the vector b (scalar multiplication)
The final answer is a vector
y = y_{0} + v_{y0}t + \frac{1}{2}at^2
is the general kinematic equation you want to use,
where in your case:
solve the resulting quadratic equation for t
Got that from http://scienceworld.wolfram.com/physics/Michelson-MorleyExperiment.html
Good point...I think it's B too since the concept of ether was eventually rejected and the speed of light is found to be constant regardless.
I know this forumla:
\xi = -N \frac {\Delta \phi}{\Delta t}
^^ Faraday's law. It accounts for the number of loops..but for accounting the area of the loop, the flux. phi, depends on area:
\phi_{B} = B_{\bot}A = BAcos \theta
where A is the area of the coil face.
Hence as the...
The keyword here is "half the distance from A to B"
You are dividing the coordinate of point B by two, then adding to A..which is wrong.
You first need to find the distance, or the VECTOR AB
broken down into components:
Bx - Ax = ABx
By - Ay = ABy
which is simply:
60-30 = 30 =...
This is a problem from my physics book. We are learning Kirchhoff's rules with electric circuits and I'm at a loss at what to do here.
I apply them just fine to a three loop circuit, using some algebra:
|-/\/\-|\//\ -|
| |
|--|\--/\/\/--|
| |...
in a ramp, if there was no friction, then the accelration would be 9.8m/s^2?
i would guess then..with friction
\mu_{k} = \frac{F_{fr}}{F_n}
\\ = \ \frac{(mg-ma}{mg-\sin(\theta)mg}
is the above correct? I am a HS student too..
or...wait..i messed up the normal force...