Physics 9 worksheet: electric forces., Exams of Particle Physics

Physics 9 worksheet: electric forces. Work with your neighbor. Ask me for help if you're stuck. Then we'll discuss & check work all together. Particles A,B ...

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2022/2023

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Physics 9 worksheet: electric forces.
Work with your neighbor. Ask me for help if you’re stuck. Then we’ll discuss & check work all together.
Particles A, B, C carry identical positive charges qA=qB=qC= +10 µC=1.0×105C. Particle A
is located at (xA, yA) = (0,0) meters. Particle Bis at (xB, yB) = (+2.0,0.0) meters. Particle Cis at
(xC, yC) = (+1.0,+1.0) meters. The angles 6C AB and 6CBA are both 45. If you don’t have a calculator,
you can approximate k= 9 ×109N m2/C21010 N m2/C2.
(1) What is the magnitude (in newtons) of the electric force between each pair of particles?
FE
AB =
FE
BA =
FE
AC =
FE
CA =
FE
BC =
FE
CB =
(2) Draw arrows for the two electric forces that are acting ON particle C. (The electric force exerted by
Aon Cis written ~
FE
AC . The electric force exerted by Bon Cis written ~
FE
BC .) Then draw an arrow for
the vector sum of forces (a.k.a. the “net force”) acting on particle C, which is written P~
FE
C. To make it
easier to compare results, choose the length of your arrows so that the grid size on your force diagram is
0.1 N. (Use the left grid below.)
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Physics 9 worksheet: electric forces.

Work with your neighbor. Ask me for help if you’re stuck. Then we’ll discuss & check work all together.

Particles A, B, C carry identical positive charges qA = qB = qC = +10 μC = 1. 0 × 10

− 5

C. Particle A

is located at (x A

, y A

) = (0, 0) meters. Particle B is at (x B

, y B

) = (+2. 0 , 0 .0) meters. Particle C is at

(xC , yC ) = (+1. 0 , +1.0) meters. The angles

6 (^) CAB and

6 (^) CBA are both 45

. If you don’t have a calculator,

you can approximate k = 9 × 10

9 N m

2 /C

2 ≈ 10

10 N m

2 /C

2 .

(1) What is the magnitude (in newtons) of the electric force between each pair of particles?

F

E

AB

F

E

BA

F

E

AC

F

E

CA

F

E

BC

F

E

CB

(2) Draw arrows for the two electric forces that are acting ON particle C. (The electric force exerted by

A on C is written

F

E

AC

. The electric force exerted by B on C is written

F

E

BC

.) Then draw an arrow for

the vector sum of forces (a.k.a. the “net force”) acting on particle C, which is written

F

E

C

. To make it

easier to compare results, choose the length of your arrows so that the grid size on your force diagram is

0 .1 N. (Use the left grid below.)

(3) Now draw (above right) arrows for the forces acting on particle B and their vector sum. Again use a

grid size of 0.1 N.

(4) Next, work out the Cartesian coordinates (Fx, Fy) for the forces acting on particle C and their vector

sum.

F

E

AC,x

F

E

BC,x

F

E

C,x

F

E

AC,y

F

E

BC,y

F

E

C,y

(5) Draw an arrow indicating the direction of the electric field

E(P ) at the point P given by P x

= 1.0 m,

P

y

= 0.0 m.