Homework Statement
Homework Equations
a=(v2-v1)/t
The Attempt at a Solution
I used the vector between the point before A and A as my v2.
I used the vector between the point two before A and the point before A as my v1.
I put them tail to tail and he resultant vector looks like (E) in the...
Homework Statement
Homework Equations
P1=P2
The Attempt at a Solution
My first instinct is E), they are all equal.
So the water fills up the bottom part slowly and it will fill up to the level of the containers equally (obviously). From there, the water will start filling the containers...
Okay. Did a bit more thinking on this:
r1 is shifted by \lambda/2 (or pi, still not entirely sure how those two equate. The only formula I have concerning them is k=2pi/\lambda...where does the k go?)
Anyway, since there is this issue going to the coating --> glass (low to high again)...
I've been studying this a bit - is the correct thickness they're looking for one that gives off destructive interference? Normally, to get destructive interference...I would do this:
r1 has a phase shift of pi when its reflected off of the coating (in my notes that is also written as...
Homework Statement
To reduce reflections from glass lenses (n ≈ 1.5), the glass surfaces
are coated with a thin layer of magnesium fluoride (n ≈ 1.39).
What is the correct thickness of the coating for green light (510 nm
vacuum wavelength)?
Homework Equations
\lambda = 2nd/(m+1/2)...
Homework Statement
A double-slit interference pattern is observed on a screen 1.0m behind two slits placed on 0.3mm apart. Ten bright fringes span a distance of 1.65cm. What is the wavelength of the light?
Homework Equations
Since we're looking at bright fringes:
(m+1/2)\lambda =...
Homework Statement
A 500g block on a spring is pulled 20cm and released. The motion has a period 0.8s.
What is the velocity when the block is 15.4cm from the equilibrium?
Homework Equations
Etotal = 0.5kx2 + 0.5mv2
w = \sqrt{k/m}
w = 2pi*f
f = 1/T
The Attempt at a Solution...
Okay - not sure if this route even needs to be undertaken at all though...does this work?:
Etotal = \frac{1}{2}kx2 + \frac{1}{2}mv2
Etotal = 0 + \frac{1}{2}0.1(2)2
Etotal = 0.2
0.2 = \frac{1}{2}(0.1)x2 + \frac{1}{2}0.1(1)2
x = 1.7
Does that work?
Homework Statement
A 0.10kg mass is on a spring with k = 0.10 N/m. At time t=0s it crosses x=0m with a velocity of 2.0m/s. What is its displacement when v=1.0m/s?
Homework Equations
x(t) = Acos(wt + \varphi)
v(t) = -wAsin(wt + \varphi)
w = \sqrt{k/m}
The Attempt at a Solution...
Homework Statement
A 7.0 kg mass is hung from the bottom end of a vertical spring fastened to the ceiling. The mass is set into veritcal oscillations with a period of 2.6s
Find the spring constant.
Homework Equations
w = \sqrt{k/m}
w = 2pi * f
f = 1/T
The Attempt at a Solution
f =...
Oh...is it saying that x=A as in I'm to 'start' with wherever there is a max amplitude? In which case the answer is 1/4T. I'm not sure if the A in x=A is the same A is amplitude...I'm not sure what else it would mean though.
Just one more thing about this actually...my first inclination upon reading the 5cm was to use that as the phase constant. It describes it as starting out from there...I thought it normally started at 0 so in order to 'get it to 5cm' I would need to use the phase constant to represent that...
Homework Statement
A mass oscillating in SHM starts at x=A and has a period of T. At what time, as a fraction of T, does it first pass through x=0?
Homework Equations
x(t) = Acos(wt + \varphi)
The Attempt at a Solution
I'm not sure if this means I set x(t) = A, or if the \varphi = -A?
Also...