Recent content by TheBigDig

  1. TheBigDig

    Total work done while pushing a wheelchair

    Thank you very much for these answers, I will consider change in KE instead
  2. TheBigDig

    Total work done while pushing a wheelchair

    Taking v = 2m/s, u=0m/s and s = 15m, we get ##a=0.13m/s^2## ##F_g = mg = 100(9.8) = 980N## Since there's no vertical acceleration, the normal force is equal to the weight ##N = 980N## ##f = \mu_k N = 0.05(980) = 49N## ##F_{net} = ma = 100(0.13) = 13N## ##F_{app} = F_{net}+f = 62N## My...
  3. TheBigDig

    Forces acting on a car on an incline

    Sorry yes of course. The normal force is perpendicular to the surface and the car will roll backward. I believe the model should correspond to this
  4. TheBigDig

    Forces acting on a car on an incline

    For part 1, I got ## tan \alpha = 1/30 ## ##\alpha = 1.9^{\circ}## ##mgcos(1.9) = 10774N## I'm a little thrown off by the second part. Are we supposed to assume that in the absence of friction, F = N and then substitute F = ma to solve for this?
  5. TheBigDig

    Determine the moment of inertia of a bar and disk assembly

    Sorry about that, I changed the post to reflect your corrections. ##l## is for the length of the rod and S is the length of the pendulum now. Thanks for the advice. I'll try giving that a go
  6. TheBigDig

    Determine the moment of inertia of a bar and disk assembly

    I have been given an answer for this but I am struggling to get to that point $$ANS = 0.430\, kg \cdot m^2$$ So I thought using the moment of inertia of a compound pendulum might work where ##I_{rod} = \frac{ml^2}{12}## and ##I_{disc} = \frac{mR^2}{2}## (##l## is the length of the rod and ##R##...
  7. TheBigDig

    Average of 3 normally distributed random samples

    Hi there! Thank you so much for your help. As it turns out we have covered this before but I didn't consider that these manipulations could be performed when it was three variables taken from the same data set if you understand me. I thought it only applied to normal variables with different...
  8. TheBigDig

    Average of 3 normally distributed random samples

    I've found part (i) by calculating the z-score for 40 $$Z = \frac {40- 50} {15} = -0.67$$ $$N(-0.67) = 1- N(0.67) $$ $$1- N(0.67) = 1-0.7486 = 0.2514$$ But parts (ii) and (iii) are confusing me. I have answers provided by my professor that say the mean and std deviation for (ii) and (iii) are...
  9. TheBigDig

    Sum of the Expected Values of Two Discrete Random Variables

    Okay yes, this definitely seems like something I need to read up on. Our instructor is a little handwavy at the moment saying we'll come across these concepts later but I'm one of those people who needs to understand each element. Thank you as well. Yes I think it is missing that. I found it...
  10. TheBigDig

    Sum of the Expected Values of Two Discrete Random Variables

    Apologies if this isn't the right forum for this. In my stats homework we have to prove that the expected value of aX and bY is aE[X]+bE[Y] where X and Y are random variables and a and b are constants. I have come across this proof but I'm a little rusty with summations. How is the jump from the...
  11. TheBigDig

    I Visualising an alternative formulation of Planck's Radiation Law

    Sorry, it was from notes given by my lecturer. I looked up the reference material for the course but couldn't find any reference to it. Thanks for this discussion and explanation guys, really improved my understanding. I will take a look at this paper.
  12. TheBigDig

    I Visualising an alternative formulation of Planck's Radiation Law

    I've come across this alternative formulation of Planck's Law which links the number density to energy gap n(E) = \frac{2\pi}{c^2 h^3} \frac{E^2}{exp\big(\frac{E-\mu}{k_BT})-1} I've tried visualising this relation and I imagine it will look similar to the spectral density relation but I'm just...
  13. TheBigDig

    Derive an expression for the applied field of a superconducting wire

    So far the best I've been able to come up with is to use ##\vec{B} = \mu_0 \vec{H}## which gives me i_c = H 2\pi r j_c = \frac{H 2\pi r}{\pi r^2} = \frac{2H}{r} \therefore B = \mu_0 \frac{r j_c}{2} I'm fairly confident this is just terrible math and physics on my behalf but I'm struggling to...
  14. TheBigDig

    Energy of Two Gamma Rays Produced by Pion Decay

    So I worked out the first part and obtained ##E_1 = 478.8MeV##, ##E_2 = 459.4MeV## and ##p = 0.49 MeV/c## but I can't quite wrap my head around the second part. Normally, I'd use the equation for s but I'm confused since I don't know the angle between the gamma rays.
  15. TheBigDig

    Force on a magnet in a magnetic field

    Forgive me for being dense but what'll that imply for the force?
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