Question

The purpose of this problem is to find the Net force acting on Q 2 by Q 1 and Q 3 . Q 1 = - 5.0 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 = 10 Cm = 10 x10-2 m Electric constant K= 9x10 9 N.m2 / C2 ?⃗ = K Q1 Q2 / r2 ̂r

a) Calculate the force that Q1 exerts on Q 2. Name this force ?⃗ 1 , show your formula and solution below this line.

b) Calculate the force that Q3 exerts on Q 2 . Name this force ?⃗ 3 , show your formula and solution below this line.

c) Draw the force vectors ?⃗⃗ 1 and ?⃗⃗ 3 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: ?⃗⃗ 2 = F1X ̂? + F1Y ̂? Show your work.

e) Resolve force ( ?⃗ 3 ) 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: ?⃗⃗ 3 = F3X ̂? + F3Y ̂? 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 F(Net ), the total force acting on Q 2 .

g) Use θ= tang ( F (net) Y / F (net) X ) to calculate the angle the net force makes with X –Axis.

no short cut solutions

Answer 1