A 70.0-g block carrying a charge Q = 31.0 µC is connected to a spring for which k = 72.0 N / m. The block lies on a horizontal frictionless surface and is immersed in a uniform electric field of magnitude E = 4.64 ✕ 104 N / C directed as shown in the following figure. The block is released from rest when the spring is not stretched (x = 0). (a) By what maximum distance (in cm) does the block move from its initial position? (b) Determine (in cm) the rear equilibrium position of the block and the range of its motion. (Indicate the address with the sign of your answer.) (c) Using conservation of energy, find a symbolic relationship that gives the potential difference between your initial position and the point of maximum extension in terms of the spring constant k, the amplitude A, and the charge Q.
A 70.0-g block carrying a charge Q = 31.0 µC is connected to a spring for which k = 72.0 N / m. The block lies on a horizontal frictionless surface and is immersed in a uniform electric field of magnitude E = 4.64 ✕ 104 N / C directed as shown in the following figure. The block is released from rest when the spring is not stretched (x = 0).
(a) By what maximum distance (in cm) does the block move from its initial position?
(b) Determine (in cm) the rear equilibrium position of the block and the range of its motion. (Indicate the address with the sign of your answer.)
(c) Using conservation of energy, find a symbolic relationship that gives the potential difference between your initial position and the point of maximum extension in terms of the spring constant k, the amplitude A, and the charge Q.
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