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Safari File Edit View History Bookmarks Window Help D S 43% D Sun 1:57 PM E weba

ID: 1594402 • Letter: S

Question

Safari File Edit View History Bookmarks Window Help D S 43% D Sun 1:57 PM E webassign net Netflix Homework #1: Electrostatics "docslide.us solution-physics-for-scientists-a Outlook y Particle A of charge 3.18 x 10 C is at the origin, particle B of charge -5.64 x 10 C is at (4.00 m, o), and particle C of charge 1.08 x 10 c is at 0, 3.00 m). We wish to find the net electric force on C. (a) What is the x component of the electric force exerted by A on C? b) What is the y component of the force exerted by A on C? 34.3 (c) Find the magnitude of the force exerted by B on C 21.9 (d) Calculate the x component of the force exerted by B on C 13.6 Your response differs from the correct answer by more than 10%. Double check your calculations. N (e) Calculate the y component of the force exerted by B on C 15.7 Your response differs from the correct answer by more than 10%. Double check your calculations. N (f) Sum the two x components from parts (a) and (d) to obtain the resultant x component of the electric force acting on C. (g) Similarly, find the y component of the resultant force vector acting on C (h) Find the magnitude and direction of the resultant electric force acting on C. magnitude direction o counterclockwise from the +x-axis

Explanation / Answer

= tan^-1(y/x) = tan^-1(3/4) = 36.87deg

d) FCBx = -21.9cos36.87 = -17.5 N

e) FCBx = 21.9sin36.87 = 13.14 N

f) Fnetx = 0 – 17.5 = -17.5 N

g) Fnety = 34.3 + 13.14 = 47.44 N

h) |Fnet| = sqrt(17.5^2 + 47.44^2 ) = 50.56 N

direction = tan^-1(47.44/17.5) = 69.75 deg above –x axis = (180-69.75) = 110.25 deg counterclockwise + x axis

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