plate has a positive charge with charge density o = +820.0 mC/m2 and the right plate has an equal but opposite negative charge with charge density -o = -820.0 mC/m². There are also two thin, flat metal plates positioned horizontally, 60.00 cm apart, with the top plate given a negative charge, and the bottom plate given an equal but opposite positive charge, such that the electric potential of the bottom plate is 10.00 V higher than the top plate. (Note: Ignore any edge effects due to the finite size of the plates.) b. с. d. е. A small sphere with a mass of m = 57.78 g, and a charge of q = +34.00 mC is attached to a thin, rigid, massless, insulating rod with a length ofL = 16.00 cm, which is pivoted at point 0, which is 5.000 cm from the left plate. The sphere/rod unit is rotated to an angle of 10.00° with the horizontal and released from rest. 5.000 cm 5.000 cm 60.00 cm 60.00 cm 9.500 cm +o +o 40.00 cm 40.00 cm MHI++ + + + + + MHAHI + + + + ++ + (a) (b) Figure 1- (a)Two thin, flat metal plates are positioned vertically, 40.00 cm apart. The left plate has a charge density of o = +820.0 mC/m² and the right plate has an equal but opposite charge density, -o = -820.0 mC/m². There are also two thin, flat metal plates positioned horizontally, 60.00 cm apart, with the top plate given a negative charge, and the bottom plate given an equal but opposite positive charge, such that the potential difference between the plates is 10.00 V. A small sphere with mass m = 57.78 g, and charge q = +34.00 mC is attached to a thin, rigid, massless, insulating rod with length L 16.00 cm, which is pivoted at point 0, which is 5.000 cm from the left plate. The sphere/rod unit is rotated to an angle of 10.00° with the horizontal and released from rest. (b) A negative charge of Q = -132.0 mC is now fixed at a point which is at the same height as point 0, and 9.500 cm to the left of the right plate. (Not to scale.) a) Will the sphere/rod ever reach an angle of 0° with the horizontal? b) If so, how long will it take to reach that point? c) If the rod/sphere ever reaches an angle of 0°, how fast will the sphere be moving when it gets there? d) A negative charge of Q = -132.0 mC is now fixed at a point which is at the same height as point 0, and 9.500 cm to the left of the right plate, as shown in Fig.-1b. The sphere/rod unit is again rotated to an angle of 10.00° with the horizontal and released from rest, will it now ever reach an angle of 0° with the horizontal? e) If so, how fast will the sphere be traveling when it gets there?

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1) Two thin, flat metal plates are positioned vertically, 40.00 cm apart, as shown in Fig.-la. The left 1) a.
plate has a positive charge with charge density o = +820.0 mC/m² and the right plate has an equal
but opposite negative charge with charge density -o = -820.0 mC/m². There are also two thin,
flat metal plates positioned horizontally, 60.00 cm apart, with the top plate given a negative charge,
and the bottom plate given an equal but opposite positive charge, such that the electric potential
of the bottom plate is 10.00 V higher than the top plate. (Note: Ignore any edge effects due to
the finite size of the plates.)
b.
с.
d.
е.
A small sphere with a mass of m = 57.78 g, and a charge of q = +34.00 mC is attached to a thin,
rigid, massless, insulating rod with a length of L = 16.00 cm, which is pivoted at point O, which is
5.000 cm from the left plate. The sphere/rod unit is rotated to an angle of 10.00° with the horizontal
and released from rest.
5.000 cm
5.000 cm
60.00 cm
60.00 cm
9.500 cm
+o
+o
40.00 cm
40.00 cm
++++ + ++
( a )
(b)
Figure 1- (a)Two thin, flat metal plates are positioned vertically, 40.00 cm apart. The left plate
has a charge density of o = +820.0 mC/m² and the right plate has an equal but opposite charge
density, -o = -820.0 mC/m². There are also two thin, flat metal plates positioned horizontally,
60.00 cm apart, with the top plate given a negative charge, and the bottom plate given an equal
but opposite positive charge, such that the potential difference between the plates is 10.00 V.
A small sphere with mass m = 57.78 g, and charge q = +34.00 mC is attached to a thin, rigid,
massless, insulating rod with length L = 16.00 cm, which is pivoted at point O, which is 5.000 cm
from the left plate. The sphere/rod unit is rotated to an angle of 10.00° with the horizontal and
released from rest. (b) A negative charge of Q = -132.0 mC is now fixed at a point which is at
the same height as point 0, and 9.500 cm to the left of the right plate. (Not to scale.)
a) Will the sphere/rod ever reach an angle of 0° with the horizontal?
b) If so, how long will it take to reach that point?
c) If the rod/sphere ever reaches an angle of 0°, how fast will the sphere be moving when it gets
there?
d) A negative charge of Q = -132.0 mC is now fixed at a point which is at the same height as
point 0, and 9.500 cm to the left of the right plate, as shown in Fig.-1b. The sphere/rod unit
is again rotated to an angle of 10.00° with the horizontal and released from rest, will it now
ever reach an angle of 0° with the horizontal?
e) If so, how fast will the sphere be traveling when it gets there?
Transcribed Image Text:1) Two thin, flat metal plates are positioned vertically, 40.00 cm apart, as shown in Fig.-la. The left 1) a. plate has a positive charge with charge density o = +820.0 mC/m² and the right plate has an equal but opposite negative charge with charge density -o = -820.0 mC/m². There are also two thin, flat metal plates positioned horizontally, 60.00 cm apart, with the top plate given a negative charge, and the bottom plate given an equal but opposite positive charge, such that the electric potential of the bottom plate is 10.00 V higher than the top plate. (Note: Ignore any edge effects due to the finite size of the plates.) b. с. d. е. A small sphere with a mass of m = 57.78 g, and a charge of q = +34.00 mC is attached to a thin, rigid, massless, insulating rod with a length of L = 16.00 cm, which is pivoted at point O, which is 5.000 cm from the left plate. The sphere/rod unit is rotated to an angle of 10.00° with the horizontal and released from rest. 5.000 cm 5.000 cm 60.00 cm 60.00 cm 9.500 cm +o +o 40.00 cm 40.00 cm ++++ + ++ ( a ) (b) Figure 1- (a)Two thin, flat metal plates are positioned vertically, 40.00 cm apart. The left plate has a charge density of o = +820.0 mC/m² and the right plate has an equal but opposite charge density, -o = -820.0 mC/m². There are also two thin, flat metal plates positioned horizontally, 60.00 cm apart, with the top plate given a negative charge, and the bottom plate given an equal but opposite positive charge, such that the potential difference between the plates is 10.00 V. A small sphere with mass m = 57.78 g, and charge q = +34.00 mC is attached to a thin, rigid, massless, insulating rod with length L = 16.00 cm, which is pivoted at point O, which is 5.000 cm from the left plate. The sphere/rod unit is rotated to an angle of 10.00° with the horizontal and released from rest. (b) A negative charge of Q = -132.0 mC is now fixed at a point which is at the same height as point 0, and 9.500 cm to the left of the right plate. (Not to scale.) a) Will the sphere/rod ever reach an angle of 0° with the horizontal? b) If so, how long will it take to reach that point? c) If the rod/sphere ever reaches an angle of 0°, how fast will the sphere be moving when it gets there? d) A negative charge of Q = -132.0 mC is now fixed at a point which is at the same height as point 0, and 9.500 cm to the left of the right plate, as shown in Fig.-1b. The sphere/rod unit is again rotated to an angle of 10.00° with the horizontal and released from rest, will it now ever reach an angle of 0° with the horizontal? e) If so, how fast will the sphere be traveling when it gets there?
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