A 74.0-g block carrying a charge Q _ 35.0 mC is connected

Chapter 16, Problem 16.35

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A 74.0-g block carrying a charge Q _ 35.0 mC is connected to a spring for which k _ 78.0 N/m. The block lies on a frictionless, horizontal surface and is immersed in a uniform electric fi eld of magnitude E _ 4.86 _ 104 N/C directed as shown in Figure P16.9. If the block is released from rest when the spring is unstretched (x _ 0), (a) by what maximum distance does the block move from its initial position? (b) Find the subsequent equilibrium position of the block and the amplitude of its motion. (c) Using conservation of energy, fi nd 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.

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