Question

There are three charges at the three vertices of equilateral triangles as it is show in the figure below. The purpose of this problem is to find the Net force acting on Q 3 by Q 1 and Q 2 . Q 1 = - 10 nC 1 nC = 10 – 9 C Q 2 = + 2.0 nC Q 3 = + 3.0 nC The length of each side of the triangle is : r = 4.0 Cm = 4.0 x10-2 m Electric constant K= 9x10 9 N.m2 / C2 ?⃗ = K Q1 Q2 / r2 ̂? Q3 a) Calculate the force that Q1 exerts on Q 3 . Name this force ?⃗ 1 , show your formula and solution below this line. b) Calculate the force that Q2 exerts on Q 3 . Name this force ?⃗ 2 , show your formula and solution below this line. c) Draw the force vectors ?⃗⃗ 1 and ?⃗⃗ 2 on the figure ( This is the most important part of the problem) d) Resolve force ( ?⃗ 1 ) to its X-component and Y- components. Write the formula, calculate the magnitude for each component, and replace it in the formula given in the Hint.Hint: ?⃗⃗ 1 = F1X ̂? + F1Y ̂? Show your work. e) Resolve force ( ?⃗ 2 ) to its X-component and Y- components. Write the formula, calculate the magnitude for each component, and replace it in the formula given in the Hint. Hint: ?⃗⃗ 2 = F2X ̂? + F2Y ̂? Show your work.e) Calculate the net force in X-direction and Y-direction. Hint: ?⃗⃗ (net) =FX (net) ̂? + FY(net) ̂? Show your work. f) Use Pythagorean Theorem to find the magnitude of F(net) acting on Q3 . g) Use θ= tang ( F (net) Y / F (net) X ) to calculate the angle the force makes with X –Axis.

Answer 1