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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 ...
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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?
E
AB
E
BA
E
AC
E
CA
E
BC
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
E
AC
. The electric force exerted by B on C is written
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
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.
E
AC,x
E
BC,x
E
C,x
E
AC,y
E
BC,y
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,
y
= 0.0 m.