An electron is accelerated through a potential difference of 1.5 MV and hence gains 1.5 MeV of energy. Find its final speed and momentum. (me 9.11^10-31 kg) explain step, by step and remember it is a relativistic problem
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- A particle moves along line segments from the origin to the points (2, 0, 0), (2, 5, 1), (0, 5, 1), and back to the origin under the influence of the force field F(x, y, z) = z2i+ 3xyj + 3y2k. Use Stokes' Theorem to find the work done.Consider two random variables X and Y. The covariance between these two variables is 1.00. We can conclude that there is a perfect positive linear relationship between the two variables. Is this statement true or false? If your answer is false, give reasons.Question 3 The Black-Scholes model is a time series (X₂) that follows the dynamics X₁ = X₁-1*exp(μ+0€) where μ, >0 and () is a time series of independent and identically distributed standard Gaussian random variables. Note that E(exp(μ+σt)) = "¹+0² (i) Show that the log-returns of this process X, form a white noise process (ii) Suppose E(X) = 0. Compute E(X₂). Determine if the variance of X, is falling, remains constant or is growing in t.
- 1. Imagine a triple-slit "grating", where the distance to the screen is much larger than the distance between the slits. By using phasors, show that the intensity of the interference pattern is given by I = I(1 + 4 cos & + 4 cos² ø). (Hint: Recall the intensity of fringe pattern in Young's two-slit interference experiment.)Four alternative designs are being considered for a pet-exercising treadmillI. The company's MARR is 18%. The cash flows associated with each are given in the following table. The Judas The Lancelot The Bella The Lilo $120,000 $50,000 $130,000 $141,000 $50,000 $13,000 $18,000 Capital Investment $160,000 Annual Revenues Annual Expenses $50,000 $50,000 $20,000 $15,000 $14,000 $15,000 $15,000 Refurbish at EOY 5 $23,000 $4,000 $23,000 $4,000 Market Value after 10 years $5,000 IRR ??? 21.8% 21.6% 17.7%To 4-digit accuracy, what is the Mean of IWM return and the Mean of EEM return?
- the yeild curve at the present time (t=0)Time series forecasting maybe used to predict future values of a variable by: A. A simple moving average B. A weighted moving average C. Exponential smoothing D. All of the aboveUse the trial and error method combined with linear interpolation to solve for the IRR of The Judas design (to one decimal place, XX.X%)
- Find the optimal solution for the following problem. Note: Round your answers to 3 decimal places. Maximize C = 13x + 9y subject to and 6x + 11y ≤ 18 16x + 21y ≤ 41 x ≥ 0, y ≥ 0. a. What is the optimal value of x? X b. What is the optimal value of y? c. What is the maximum value of the objective function?Which of the following statements about Newton's first law of motion is correct? a) An object will accelerate if a force is applied to it. b) An object at rest will remain at rest unless acted upon by an unbalanced force. c) Force is equal to mass times acceleration. d) For every action, there is an equal and opposite reaction.3 Charged Closed Wire Consider a thin closed wire with the radius R localized at the origin on the xy-plane, which is charged uniformly with the total charge Q. (i) What is the charge density p in this problem? (ii) Calculate the electric field along the z axis? (Hint: First, consider an infinitessimal piece of the charge.)