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Physics 2220 Spring 2012 Ben Bromley EXAM 1 PLEASE FILL IN THE INFORMATION BELOW Name (printed): Name (signed): Student ID Number Discussion Instructor: U __ __ __ __ __ __ __ Chad Jon Paul Maria Peter Physics 2220 Spring 2012 Ben Bromley Data: Use these constants (where it states, for example, 1 ft, the 1 is exact for significant figure purposes). 1 ft = 12 in (exact) 1 m = 3.28 ft 1 mile = 5280 ft (exact) x x 2 a 2 dx 1 3 x2 a2 3 1 hour = 3600 sec = 60 min (exact) 1 day = 24 hr (exact) 2 2 gearth = 9.80 m/s = 32.2 ft/s gmoon = 1.67 m/s2 = 5.48 ft/s2 dx x2 a2 3 x a2 x2 a2 1 year = 365.25 days ax e dx 1 kg = 0.0685 slug 1 N = 0.225 pound 1 horsepower = 550 ftڄpounds/s (exact) 24 Mearth = 5.98 × 10 kg Rearth = 6.38 × 103 km Msun = 1.99 × 1030 kg Rsun = 6.96 × 108 m 22 Mmoon = 7.35 × 10 kg Rmoon = 1.74 × 103 km G = 6.67 × 10-11 Nڄm2/kg2 9 2 2 k = 8.99 × 10 Nڄm /C εo = 8.85 × 10-12 F/m eelectron charge = -1.60 × 10-19 C melectron = 9.11 × 10-31 kg μo = 4π × 10-7 Tڄm/A (exact) N(Avogadro's No.) = 6.02 × 1023 atoms/gmڄmole 26 = 6.02 × 10 atoms/kgڄmole cos(a ± b) = cos a cos b טa sin b xdx x2 a 2 3/2 xdx a2 x2 1 x2 a2 a2 x2 dx n x x 2 a 2 x2 a2 1 a x 2 a 2 n a x x x2 a2 dx x a x x sin 1 , or cos 1 a a a2 x2 xdx 2 2 x2 a2 dx sin(a ± b) = sin a cos b ± sin b mproton = 1.67 × 10−27 kg h = 6.64 × 10-34 J π = 3.14 8 c = 3.00 × 10 m/s 1 Tesla = 10,000 gauss (exact) ρ(H2O) = 1000 kg/m3 1 eax a dx 1 n a bx a bx b dx a bx 2 1 b a bx Physics2220 2220 Physics Spring 2012 Fall 2009 Name: __________________________________ Unid: ___________________________________ Discussion TA: ___________________________ Exam 1 Show all work!! Report all numbers to three (3) significant figures. A. [17 pts.] A car (mass m = 1000 kg and charge q = +7.2 C) is at rest in a driveway. A uniform electric field (strength E = 5000 N/C) is turned on to propel the car toward the street, a distance x = 10 m from the car’s starting point. Find the car’s speed v when it reaches the street. Assume that the car acts like a point charge. B. [16 pts.] A simple model of the hydrogen atom consists of an electron in a circular orbit of radius r = 5.29 × 10 the proton. -11 m about a stationary proton. Find v, the speed of the electron around Ben Bromley 1 Physics2220 2220 Fall 2009 Physics Spring 2012 Name: __________________________________ Unid: ___________________________________ Discussion TA: ___________________________ Exam 1 Show all work!! Report all numbers to three (3) significant figures. A. [16 pts.] Find the electric field vector E, evaluated at point P [(x,y) = (1,1) m], that arises from the point charges shown in the figure. B. [16 pts.] A straight wire segment of length L, aligned on the y-axis and centered 2 2 3/2 at the origin, has a linear charge density is λ(y) = C [y + a ] , where C is a constant. Find the strength of the electric field at a point located distance a a from the wire on the x axis. Ben Bromley 2 Physics2220 2220 Physics Spring 2012 Fall 2009 Name: __________________________________ Unid: ___________________________________ Discussion TA: ___________________________ Exam 1 Ben Bromley 3 Show all work!! Report all numbers to three (3) significant figures. An infinitely long, straight coaxial cable has a thin wire running along its axis surrounded by a conducting cylindrical pipe of inner radius ri and outer radius ro. The pipe is electrically neutral, while the wire carries a uniform charge, with linear charge density λ. (a) [7 pts.] Write the E field strength just outside the outer surface of the conducting pipe (r → ro) in terms of the surface charge density η. (b) [8 pts.] Find the strength of the electric field E outside of the coaxial cable at a distance r > ro from the cable’s axis. (c) [9 pts.] Find the surface charge density η on the pipe’s outer surface in terms of radius ro and λ. (d) [10 pts.] Find the electric field E´ outside the pipe (r > ro) if the wire was removed and the pipe was filled entirely with a medium of uniform charge density ρ.