The wave functions for two waves traveling in the same direction on a string are described below: 1(,) = 0.2 sin (8 − 50) and 2(,) = 0.2 sin(8 − 50 + /3)
where, and are in meters, and is in seconds. An element of the string at = 0 would have a
maximum transverse speed of:

two charges are fixed in place on the x-axis as shown. the charge at x = 0 is negative and has magnitude q = 2 μcoulombs (1 μcoulomb = 10-6 coulombs). the charge at x = d, (d = +12 cm), is positive and has magnitude q = 4 μcoulombs. find a point x = xo along the x-axis at which the electric field is zero.

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