Homework Statement
differentiate F=Fi (sin ct)
The Attempt at a Solution
Fi is a constant
= Fi (-cos ct)(c)
That is the solution I keep getting, but my buddy keeps getting
Fi (- cost ct)/c
in other words, he thinks - cost ct should be divided by c, anyone care to...
that was an epic fail on trying to use brackets...
derivative of [r (v times a)] = r ( v times a*)
a* is the derivative of a.
question asks to prove that both sides are equal.
Hey guys, I really do not even know how to get this question started.
Homework Statement
\frac{d}{dt}[r (v x a)] = r (v x a)
the last a is supposed to have a period on top
as such it is \frac{d}{dt}[r (v x a)] = r (v x \frac{d}{dt}a)
d, v, and a are position, velocity, and...
The conc.of molecules in two ultra-high-vacuum chambers of volumes V1=V2=0.1m^3 is 10^6 molecules/m3
You count the # of molecules N1 and N2, in each chamber at some moment of time.
a.find the expectation value and the SD of N1 and N2 . calc \sigma_{N1}, sketch the prob distribution of N1...
I think I am kind of getting it.
Most examples online use three numbers (ie =3i, 5j, 6k)
As such you get a nice little box
In this case, we are missing, for B= any j value, does this mean we assume j=1 for b?
this is what I have so far
i j k
2 1 1 (I...
I think I got it!
Pressure= F/A [M^x][L^-1x][T-^2x]
Density= [M^y][L^-3y]
For M M^y plus M^x= 0
For T -1 = -2x
x= 1/2
For L 1= -1x - 3y sub in x=1/2
x= 1/2
As such,
Velocity = sqt (pressure/density)
I hope this it? yes?
I did not...
Homework Statement
Given the three vectors A = 2i + j, and B= i + k, C=4j, find the following
a) |A X B|
b) |A x (B X C)|
c) the volume of the parallelepiped whos concurrent edges rae represented by A B C.
The Attempt at a Solution
I am stuck on A.
I assume it couldn't...
You did not really state where your stuck...which it makes it a bit hard to help you.
But here is a try for the first q
"Convert the following times. All units must be shown as well as cancellations.
f) 0.35 minutes to years"
This is a dimensional analysis type q. Used commonly in...
I think I have a bit of a hang on this now...
[L][T^-1] = [M][L^-1][T-^2] [M][L^-3]
We ignore [M] as it is not on the left side thus;
[L][T^-1] = [L^-1x][T-^2x] [L^-3x]
-1 = -2x -------> x=1/2
1= -1x - 3y sub x= 1/2
y= -2/3
V= sqt pressure / density ^2/3...
Homework Statement
The speed v of sound waves in air depends on the atmospheric presure P and density. By using the method of dimensional analysis, find an expression for v in terms of P and density.
Homework Equations
What I have so far;
V= density x P
I found a textbook...