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Three point charges are placed at the corners of a right-angle triangle, as shown in the...

Three point charges are placed at the corners of a right-angle triangle, as shown in the figure. The masses, charges and coordinates of the three objects are given as follows:

Mass (g): Charge (μC): Coordinate (mm):
?1 = 2.30 ?1 = −1.25 ?1 = (0; 6.00)
?2 = 0.15 ?2 = +0.55 ?2 = (0; 0)
?3 = 1.50 ?3 = −2.05 ?3 = (4.00; 0)

(a) Determine the coordinate of the centre of mass of the system. (5) (b) Calculate the magnitude and direction of the electric field at point A, which is at the coordinate (0 ; 3.00) mm.

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