For the four charges shown, assume that q 4 has a value of 8 nC . (Figure 1) Par
ID: 1573622 • Letter: F
Question
For the four charges shown, assume that q4 has a value of 8 nC . (Figure 1)
Part C
What are the x and y components of the force on q4 due to q1, F1 on 4? (In all questions about components, use the standard sign convention for right/left and up/down.)
Express your answer to three significant figures. Enter the x-component first and then the y-component. Separate your two answers with a comma.
Part D
What are the x and y components of the force on q4 due to q3, F3 on 4?
Express your answer to three significant figures. Enter the x-component first and then the y-component. Separate your two answers with a comma.
Part E
What are the x and y components of the force on q4 due to q2, F2 on 4?
Express your answer to three significant figures. Enter the x-component first and then the y-component. Separate your two answers with a comma.
26nC cm 5cm 45 45 94Explanation / Answer
C) F1on4 = k*q1*q4/d^2
= 9*10^9*2*10^-9*8*10^-9/0.05^2
= 5.76*10^-5 N
F1on4x = 5.76*10^-5*cos(45) = 4.07*10^-5 N
F1on4y = -5.76*10^-5*sin(45) = -4.07*10^-5 N
D)
F3on4 = k*q3*q4/d^2
= 9*10^9*2*10^-9*8*10^-9/0.05^2
= 5.76*10^-5 N
F3on4x = -5.76*10^-5*cos(45) = -4.07*10^-5 N
F3on4y = -5.76*10^-5*sin(45) = -4.07*10^-5 N
E)
F2on4 = k*q2*q4/d^2
= 9*10^9*6*10^-9*8*10^-9/0.05^2
= 1.73*10^-4 N
F2on4x = 1.73*10^-4 N
F2on4y = 0