A solid core carrying excess charge, Q = 47.6 μC, is located at the center of concentric spherical shells. The two spheres are joined by a hollow plastic tube that starts at the radius of the small sphere, r = 13.5 cm, and ends at the radius of the large one, R = 29.7 cm. When a charge, q = 7.8 μC, is placed at the inner end of the tube and released from rest, it accelerates straight through the tube and out the other end as shown.
A solid core carrying excess charge, Q = 47.6 μC, is located at the center of concentric spherical shells. The two spheres are joined by a hollow plastic tube that starts at the radius of the small sphere, r = 13.5 cm, and ends at the radius of the large one, R = 29.7 cm. When a charge, q = 7.8 μC, is placed at the inner end of the tube and released from rest, it accelerates straight through the tube and out the other end as shown.
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Transcribed Image Text:A solid core carrying excess charge, Q = 47.6 μC, is
located at the center of concentric spherical shells.
The two spheres are joined by a hollow plastic tube that
starts at the radius of the small sphere, r = 13.5 cm, and
ends at the radius of the large one, R = 29.7 cm.
When a charge, q = 7.8 μC, is placed at the inner end of
the tube and released from rest, it accelerates straight
through the tube and out the other end as shown.
AUE=
(a) How much did the electric potential energy change as the particle moved from one end of the tube to the other?
Write your answer symbolically, in terms of Q, q, r, R and constants (as needed), then calculate its numeric value.
kao ( + - 1/2 )
R
= 13.5
J
R
x J
(b) How much electric potential energy will be left when the little charge is 56.7 cm from the core?
UE = 5.89
O
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