Homework Statement
Calculate the de Broglie Wavelength of a 1 MeV electron. Express your answer in femptometers.
Homework Equations
## λ = h/p ##
## p = (2mT + T^2/c^2)^{1/2} ##
The Attempt at a Solution
basically just plugged everything in.
## λ = \frac{h}{(2mT + T^2/c^2)^{1/2}} ##
## λ...
Ahhh, yes. Good catch. But still I think I need the minus in the denominator to be addition, or else the answer is 1. I can't understand conceptually why this should be the case though.
## U'_y = \Large \frac{U_y}{\gamma(1 + \frac{U_x V}{c^2})} ##
(b) ## U'_y = \Large \frac{sin60*c}{1.1547*(1...
Homework Statement
(a) A light signal is fired at ##60^o## North of West. Calculate the west-east velocity component of the signal according to an observer traveling due East at 0.5c. State your answer as a multiple of c.
(b) Calculate the North-South velocity component of the light signal...
I would agree that the momentum of the chair-table system is not conserved, but that's an open system. For momentum to be conserved we have to consider what is holding the table in place. That momentum should be transferred to the object exerting the friction, the floor.
Imagine we have a...
I believe the reason you accelerate while the desk appears not to is due to a series of action-reaction forces taking place. Someone else can chime in if something I say sounds off.
You accelerate because there is nothing for the force the table exerts on your hand to transfer to beyond you and...
CosӨ gives the relationship between the x component of the velocity and the original velocity.
EDIT: I should specify that this is only the case when the angle is between the horizontal and the hypotenuse, which is the case in this question.
Heights correspond to the y-axis unless you've...
Using the x component of velocity to find a height? (It doesn't make a difference mathematically since the angle is 45 degrees, however typically we the x-axis is horizontal) I would have written this off as a typo but you used cosine as well.
The total energy of the system should not change...
Ohhh so Y is ahead by t0 minus the trip time (In my FOR). That's the key! Wow I really should have picked up on that.
(b) It reads a later time.
(c) In my frame of reference t != 0 at Y, t > 0, which explains why even though I see their clocks tick at a slower rate, the clock at Y is ahead of...
Synchronized clocks that are stationary in one frame should not be synchronized in a frame in which they are moving. You probably asked that so I'd have some insight that would fix my issue, but I can't think of it...
How can I apply that understanding to make sense of my fault? I'm failing to...
Homework Statement
You are gliding over Earth's surface at a high speed, carrying your high-precision clock. At points X and Y on the ground are similar clocks, synchronized in the ground frame of reference. As you pass over clock X, it and your clock both read 0.
(a) According to you, do...
So momentum needs to be conserved, however the momentum is proportional to mass just like kinetic energy, which is what lead me to conclude the kinetic energy must be close to zero. How do I go about calculating the momentum of something for which I do not know the mass?
The gravitational force on one star comes from the opposing star, which is a distance d away.
They are both in orbit about the center of mass of that system, which is halfway between them, so d/2.
Homework Statement
A pion at rest (mπ = 273me) decays into a muon (mμ = 207me) and an antineutrino (mn ≈ 0).
Find (a) the kinetic energy of the muon and (b) the energy of the antineutrino in electron volts.
Homework Equations
K = (γ-1)mc2
E = γmc2
ER = mc2
E2 = p2c2 + (mc2)2
I didn't...