Question

A charge of -2.50 nCnC is placed at the origin of an xyxy-coordinate system, and a charge of 2.10 nCnC is placed on the yy axis at yyy = 4.00 cmcm .

a) If a third charge, of 5.00 nC , is now placed at the point x = 2.85 cm , y = 4.00 cm find the x and y components of the total force exerted on this charge by the other two charges.

Enter your answers in newtons separated by a comma.

b)

Find the magnitude of this force.

Express your answer in newtons.

c)

Find the direction of this force.

Express your answer in degrees.

Answer 1

solone 2. Ionct--- > E, --50mc 2.85m = 9327.39144NK From the figure = tem um ) (2 85cm) 4cm , 0,= 54.53 Electric field due to a point charge E = kg E = (4x109 Nyc:) (2.50x109) Co.oum) +0.0285m) Elx = -ECOSO, = -5412.467 Nic Ely=– Ei sine, = - 7596. Yog NIC Ezy=ONtc, Eax= (4x10 wine) (2.10x106) (0-0285m)? E2x = 23268-698 NIC Ex= Eix+ Ezx = 17856.23 NIC Ey = Ely + Ezy = - 4596.409 Nic Fx = (5x154) (17856-231() Ex = 8.928x1050 Fy = (5x10°c)(-4596.yoqnic) y = - 327988105N Ex, Fy = (8.928 x 108, -3.798 x105) b) + x + Fy? =(9.70x1050 9 o = 368 + torno com ) = 33#" | counterclockwise from +X-axis O=3° below the + x-axis.