Let Ā =5.00r² ȓ µC/m² for r < 0.08 m and Ā = 0.205/r² ȓ µC/m² for r > 0.08m. Find rho_v for r = 0.06m and rho_v for r = 0.1m.
1. Let ā= (0,2,0) and 5 = (0,1, 13). Find: (a) the angle between a and b. (b)Find comp,b and proj, b.
Three charged particles are located at the corners of an equilateral triangle as shown in the figure below (let q = 1.20 µC, and L = 0.670 m). Calculate the total electric force on the 7.00-µC charge.
Let →a=2→i−5→j−2→ka→=2i→-5j→-2k→ and →b=5→i−→kb→=5i→-k→. Find −→a+→b-a→+b→. Let ā = 27 – 53 – 2k and 7 = 57 - K. Find - ã+ 7. <3i Х 5j k X>
Find the radius of curvature (in m) of the path of a 0.205 MeV proton moving perpendicularly to the 1.15 T field of a cyclotron. ____m
A ball of radius r,-0.08 m and mass m =1.5 kg rolls without friction on a roller-coaster. From what height should the ball be released so that it completes the loop with radius R - 4.0 m without falling? Consider that height is measured from the track surface to the center of the ball (see figure). Select one: a. h > 10.40 m b.h> 11.25 m c. h > 11.33 m d.h> 12.66 m
A 5.6-µC point charge is located at x = 1.2 m, y = 3.2 m, and a -3.6-µC point charge is located at x = 2.2 m, y = -1.9 m.(a) Find the magnitude and direction of the electric field at x = -2.8 m, y = 1.1 m.(b) Find the magnitude and direction of the force on a proton at x = -2.8 m, y = 1.1 m.
13.12.8 Problem. Let R be a ring and, let M be an R-module. Let m be a nonnegative integer, and suppose that M1,..., Mm are R-submodules of M, and that M is the internal direct sum of M1,..., Mm. Let n be a nonnegative integer with n < m, and for each i E {1,...,n}, let N; be an R-submodule of M. Let N = N1 ++ Nn. ... (i) Prove that N is the internal direct sum of N1,...,...
A 4.5-µC point charge is located at x = 0.9 m, y = 2.7 m, and a -4.2-µC point charge is located at x = 2.2 m, y = -2.1 m. (a) Find the magnitude and direction of the electric field at x = -3.4 m, y = 1.2 m. (b) Find the magnitude and direction of the force on a proton at x = -3.4 m, y = 1.2 m.
Let S = $100, K = $120, σ = 30%, r = 0.08, and δ = 0. Compute the Black-Scholes call price for 1 year to maturity.
A) Calculate the pH of the following simple solutions: 0.08 M HCl 0.25 M KOH 0.08 M HCl + 0.25 M KOH Is solution “c” a buffer? Why or why not? B) Suppose you dissolve 0.1 moles of formic acid in 1 water. What are all of the molecules and ions you would expect to find? Which one of the above will be found in the greatest total amount? Which of the above will be found in very small amounts?...