Question

Please help with following questions

Three charges are arranged as shown in the figure below. Find the magnitude and direction of the electrostatic force on the charge q = 4.80 nC at the origin. (Let r12-0.230 m.) 100m Need Help? Two small metallic spheres, each of mass m = 0.50 g, are suspended as pendulums by light strings from a common point as shown in the figure below. The spheres are given the same electric charge, and it is found that they come to equilibrium when each string is at an angle of 0- 3.9 with the vertical. If each string has length L-28.0 cm, what is the magnitude of the charge on each sphere? nC Need Help?L (a) Determine the electric field strength at a point 1.00 cm to the left of the middle charge shown in the figure below. (Enter the magnitude of the electric field only.) N/C 6.90 (b) If a charge of -2.31 C is placed at this point, what are the magnitude and direction of the force on it? An electron is accelerated by a constant electric field of magnitude 295 N/C. (a) Find the acceleration of the electron. (b) Use the equations of motion with constant acceleration to find the electron's speed after 1.15 10-8 s, assuming it starts from rest m/s Need Help?

Answer 1

Solution)

Here, F= kq1 q2/r^2

Fx= (9*10^9)*(4.8*10^-9) *(6*10^-9)/(0.23)^2

Fx=- 4.89 * 10^-6 N

Now,

Fy = (9*10^9)*(4.8*10^-9)*(3*10^-9)/(0.1)^2

Fy= - 1.29 *10^-5 N

Now, F= sqrt(Fx^2 + Fy^2)

So, F= 1.38 * 10^-5 N (Ans)

Now,

Direction, theta= 180 + tan^-1(1.29*10^-5/4.89*10^-6)

Theta= 249.23 degrees (Ans)

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