For the four charges shown, assume that q 4 has a value of 8 nC . (Figure 1) Par

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.

Explanation / 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

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