Module 1 Problem 7 Calculus Based Physics 2

(109%) Problem 7: A 3-D printer lays down a semicircular arc of positively charged plastic with a radius R = 2.6 cm, and a linear charge density of 1 = +1.7 C/m. After the printer has finished the arc, the stylus moves to the center of the are as shown. The minute segment of the plastic arc highlighted in the diagram subtends an angle de. Note the measurement of the angle @ shown in the figure.\f& 14% Part (a) Input a symbolic expression for the charge do on the segment of charge of size de in terms of given parameters. Grade Summary dq = Deductions 046 Potential 1009% cos(8) sin(8) 7 HOME Submissions Attempts remaining 10 1 4 6 (596 per attempt) de dr e 1 2 3 detailed view m -+ 0 END ge R t VO BACKSPACE CLEAR Submit Hint Feedback I give up! Hints: 09% deduction per hint. Hints remaining: 3 Feedback: 096 deduction per feedback.14% Part (b) Input a symbolic expression for the electric force vector, exerted by the minute segment of plastic subtending the arc de on an electron (charge - @). within the stylus at the center of the arc. Express your answer in terms of given parameters, fundamental constants, and the unit vectors i and j in the specified coordinate system. Grade Summary dF = Deductions 096 Potential 1009% 7 HOME Submissions Attempts remaining: 10 4 5 6 (596 per attempt) 1 2 detailed view -+ 0 END VO BACKSPACE CLEAR Submit Hint Feedback I give up! Hints: 09% deduction per hint. Hints remaining: 1 Feedback: 09% deduction per feedback.&14% Part (c) Find the indefinite integral of the x-component , from part (b), but do not evaluate the limits. Grade Summary F. Deductions 096 Potential 1009% cos(8) zin (0) 7 HOME Submissions Attempts remaining 10 de 6 (596 per attempt) dr e g 2 3 detailed view m 0 END qe R t BACKSPACE CLEAR Submit Hint Feedback I give up! Hints: 09% deduction per hint. Hints remaining: 2 Feedback: 096 deduction per feedback.14% Part (d) Select the limits of integration that would result in the correct calculation of the force exerted by the entire line of plastic on an electron in the stylus as shown in the diagram. Or = 0 to r = R Grade Summary Deductions 096 08= x to 8=0 Potential 10096 O 8 = 0 to 8 = x Submissions Or = 0 to = 0 Attempts remaining 4 0 8=-7/2 to 8 = 1/2 (2596 per attempt) detailed view Submit Hint Feedback I give up! Hints: 096 deduction per hint. Hints remaining: 3 Feedback: 09% deduction per feedback.14% Part (e) Using the limits from part (d) and the expression from part (c) to determine an expression for the magnitude of the electrical force exerted by the positively charged line of plastic on the electron in the stylus. F = Grade Summary Deductions 096 Potential 1009% cos(8) zin(0) B 7 HOME Submissions e 4 Attempts remaining 10 (596 per attempt) de dr e 1 3 detailed view h k + END ge R BACKSPACE INII. CLEAR Submit Hint Feedback I give up!14% Part (f) Calculate the magnitude of the electric force, in newtons, exerted by the positively charged line of plastic on the electron in the stylus. Grade Summary F = Deductions 096 Potential 100 96 si( ) cos() tan() 7 9 HOME Submissions Attempts remaining 10 cotan( ) acoso E 5 (596 per attempt) atan() acotan() sinh() 1 2 3 detailed view cosh() tanh() cotanh() END O Degrees O Radians BACKSPACE CLEAR Submit Hint Feedback I give up! Hints: 09% deduction per hint. Hints remaining: 2 Feedback: 096 deduction per feedback.14% Part (g) What direction is the electric force exerted on the electron in the stylus? Grade Summary O Out of the page Deductions OInto the page Potential 1009% O Up Submissions O Cannot be determined with the information given Attempts remaining: 7 (149% per attempt) OLeft detailed view O Down O Some other direction not offered ORight Submit Hint Feedback I give up! Hints: 0 for a 096 deduction. Hints remaining: _0 Feedback: 09% deduction per feedback