Window 16% D d 8:10 PM Ch 16 Two ,C1-26.0 F And C2-33.0 A 64.0-g block carrying

Question

Window 16% D d 8:10 PM Ch 16 Two ,C1-26.0 F And C2-33.0 A 64.0-g block carrying a charge Q- 32.0 iC is connected to a spring for which k 71.0 N/m. The block lies on a frictioniess, horizontal surface and is im in a uniform electric field of magnitude E-4.80 × 104 N/C directed as shown in the figure below. The block is released from rest when the spring is unstretched (x = 0). x=0 (a) By what maximum distance does the block move from its initial position? 4.32 cm (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 4.32 Your response differs from the correct answer by more than 10%. Double check your calculations, cm amplitude 2.16 (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. 0 Need Help?

Explanation / Answer

Let equilibrium position be denoted as xo .

Let maximum distance from initial position be xm

xo = 1/2(xm)

xo = 1/2 (4.32) = 2.16 cm.

Note that equilibrium position and amplitude are same.

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