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The vector position of a 3.70 g particle moving in the xy plane varies in time according to r1 = (3î + 3ĵ)t + 2ĵt^2 where t is in seconds and r with arrow is in centimeters. At the same time, the vector position of a 5.65 g particle varies as r2 = 3î − 2ît2 − 6ĵt. (a) Determine the vector position of the center of... show more The vector position of a 3.70 g particle moving in the xy plane varies in time according to r1 = (3î + 3ĵ)t + 2ĵt^2 where t is in seconds and r with arrow is in centimeters. At the same time, the vector position of a 5.65 g particle varies as r2 = 3î − 2ît2 − 6ĵt.
(a) Determine the vector position of the center of mass at t = 2.60.
(b) Determine the linear momentum of the system at t = 2.60.
(c) Determine the velocity of the center of mass at t = 2.60.
(d) Determine the acceleration of the center of mass at t = 2.60.
(e) Determine the net force exerted on the two-particle system at t = 2.60.
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