The vector position of a 3.50-g particle moving in the xy plane varies in time according to r→1 = (3î + 3ĵ)t + 2ĵ t2, where t is in seconds and r→ is in centimeters. At the same time, the vector position of a 5.50 g particle varies as r→2 = 3î - 2î t2 - 6ĵ t. At t = 2.50 s, determine (a) the vector position of the center of mass of the system, (b) the linear momentum of the system, (c) the velocity of the center of mass, (d) the acceleration of the center of mass, and (e) the net force exerted on the two-particle system.

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter10: Systems Of Particles And Conservation Of Momentum
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The vector position of a 3.50-g particle moving in the xy plane varies in time according to r1 = (3+ 3)t + 2 t2, where t is in seconds and ris in centimeters. At the same time, the vector position of a 5.50 g particle varies as r2 = 3- 2 t2 - 6 t. At t = 2.50 s, determine (a) the vector position of the center of mass of the system, (b) the linear momentum of the system, (c) the velocity of the center of mass, (d) the acceleration of the center of mass, and (e) the net force exerted on the two-particle system.

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