A 75.0-g block carrying a charge Q = 34.0 μC is connected to a spring for which k = 74.0 N/m. The block lies on a frictionless, horizontal surface and is immersed in a uniform electric field of magnitude E = 4.84 x 104 N/C directed as shown in the figure below. The block is released from rest when the spring is unstretched (x = 0). m, Q AV= + x=0 (a) By what maximum distance does the block move from its initial position? 4.40 cm 1 KA² 2 Q (b) Find the subsequent equilibrium position of the block and the amplitude of its motion. (Indicate the direction with the sign of your answer.) position 2.23 amplitude 2.23 cm ✓ cm E (c) Using conservation of energy, find a symbolic relationship giving the potential difference between its initial position and the point of maximum extension in terms of the spring constant k, the amplitude A, and the charge Q. X

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Chapter15: Electric Forces And Electric Fields
Section: Chapter Questions
Problem 22P: A small sphere of charge q = +68 C and mass m = 5.8 g is attached to a light string and placed in a...
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A 75.0-g block carrying a charge Q = 34.0 μC is connected to a spring for which k = 74.0 N/m. The block lies on a frictionless, horizontal surface and is immersed in a uniform electric field of magnitude
E = 4.84 x 104 N/C directed as shown in the figure below. The block is released from rest when the spring is unstretched (x = 0).
www.
m, Q
AV =
+
x=0
(a) By what maximum distance does the block move from its initial position?
4.40
cm
1 KA²
2 Q
(b) Find the subsequent equilibrium position of the block and the amplitude of its motion. (Indicate the direction with the sign of your answer.)
position
cm
2.23
amplitude 2.23
x
(c) Using conservation of energy, find a symbolic relationship giving the potential difference between its initial position and the point of maximum extension in terms of the spring constant k, the
amplitude A, and the charge Q.
X
cm
Transcribed Image Text:A 75.0-g block carrying a charge Q = 34.0 μC is connected to a spring for which k = 74.0 N/m. The block lies on a frictionless, horizontal surface and is immersed in a uniform electric field of magnitude E = 4.84 x 104 N/C directed as shown in the figure below. The block is released from rest when the spring is unstretched (x = 0). www. m, Q AV = + x=0 (a) By what maximum distance does the block move from its initial position? 4.40 cm 1 KA² 2 Q (b) Find the subsequent equilibrium position of the block and the amplitude of its motion. (Indicate the direction with the sign of your answer.) position cm 2.23 amplitude 2.23 x (c) Using conservation of energy, find a symbolic relationship giving the potential difference between its initial position and the point of maximum extension in terms of the spring constant k, the amplitude A, and the charge Q. X cm
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