Recent content by k3r0

  1. K

    Angular Momentum Dimensional Analysis

    Homework Statement "A particle of mass m moves in a circle of radius R. Using dimensional argument, determine the particle angular momentum." Homework Equations L = mvr The Attempt at a Solution Because L = mvr, the dimensionality would be ML2T-1. I don't know where to go from here...
  2. K

    What Is the Heat Capacity at Constant Pressure for an Ideal Gas?

    Homework Statement I have an ideal gas of n=1023 point particles with a constant pressure of P = 3x105 Pa as 200J of heat flows into it. What is the heat capacity at constant pressure, CP? Homework Equations CV = (ΔU + PΔV)/ΔT The Attempt at a Solution Okay... So I have N, P and Q...
  3. K

    Equivalence Principle: Photon Fall Near Earth's Surface

    Homework Statement A photon near the surface of the Earth travels a horizontal distance of 3 km. How far (in meters) does the photon 'fall' in this time? (Hint: think equivalence principle). Homework Equations N/A The Attempt at a Solution My understanding of the equivalence...
  4. K

    How Do You Estimate Logarithms Using Basic Logarithmic Properties?

    Thanks a lot, that method never crossed my mind. I spent about half an hour being irritated at that question, haha. Thanks!
  5. K

    How Do You Estimate Logarithms Using Basic Logarithmic Properties?

    Homework Statement Given that log(2) is roughly 0.30 and log(∏) is roughly 0.5, estimate the values of log(4), log(5), log(6) and log(8). Homework Equations log(ab)=log(a)+log(b) log(a/b)=log(a)-log(b) log(a^n)=nlog(a) The Attempt at a Solution I found log(4) and log(8) using...
  6. K

    Calculating Satellite Aperture Radius

    Homework Statement Estimate (in the order of magnitude) the size of a satellite lens (aperture radius) required to resolve a human face at the surface of the Earth if the satellite is orbiting at an altitude of 100km. Assume λ to be 600nm.Homework Equations θ = 1.22 (λ/D)The Attempt at a...
  7. K

    Which Potential V(x) Matches the Given Eigenfunction Ψ(x)?

    Thanks. I originally chose #2 but but I think I'm going to go with the last one; it's sort of sinusoidal within the well, goes towards 0 during the blip in the middle and decays outside the well. Part (b) asks me to draw the eigenfunction for the ground state, E1, and the second energy, E2...
  8. K

    Which Potential V(x) Matches the Given Eigenfunction Ψ(x)?

    Homework Statement Consider the stationary state (eigenfunction) Ψ(x) illustrated. Which of the three potentials V(x) illustrated could lead to such an eigenfunction? Homework Equations N/A. The Attempt at a Solution I think it's the second one. Where the wavefunction is...
  9. K

    Calculating Speed for Time Dilation in the Twin Paradox

    The astronaut? Because they're on the same plane moving with the rocket for the duration as the trip so the proper time is the time measured by them. I think so, anyway. I don't know. This is the reason I've been stuck on this problem for the past 5 hours; if I put β into this equation then...
  10. K

    Calculating Speed for Time Dilation in the Twin Paradox

    My lecturer gave me the equation: \Delta T' = \gamma\Delta T Wouldn't T' be for the astronaut and normal T is elapsed on Earth? Upon reflection I tried it the other way around and did this: \Delta T = \frac{2D}{c} = \frac{10c-yr}{c} = 10 \Delta T = \frac{\Delta T'}{\sqrt{1 - β^2}}...
  11. K

    Calculating Speed for Time Dilation in the Twin Paradox

    Homework Statement "A star is 5ly away. If an astronaut wants to travel there and back and only age half a year, at what speed β = v/c do they need to travel?" Homework Equations \gamma = \frac{1}{\sqrt{1 - v^2/c^2}} \Delta T = \gamma \Delta T_0 so \Delta T = \frac{\Delta T_0}{\sqrt{1 -...
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