The vector position of a 3.65 g particle moving in the xy plane varies in time according to r, = (3î + 3j)t + 2jt? where t is in seconds and ris in centimeters. At the same time, the vector position of a 5.45 g particle varies as r, = 31 - 2it² – 6jt. (a) Determine the vector position (in cm) of the center of mass of the system at t = 2.80 s. cm cm (b) Determine the linear momentum (in g· cm/s) of the system at t = 2.80 s. g. cm/s (c) Determine the velocity (in cm/s) of the center of mass at t = 2.80 s. Vcm = cm/s
The vector position of a 3.65 g particle moving in the xy plane varies in time according to r, = (3î + 3j)t + 2jt? where t is in seconds and ris in centimeters. At the same time, the vector position of a 5.45 g particle varies as r, = 31 - 2it² – 6jt. (a) Determine the vector position (in cm) of the center of mass of the system at t = 2.80 s. cm cm (b) Determine the linear momentum (in g· cm/s) of the system at t = 2.80 s. g. cm/s (c) Determine the velocity (in cm/s) of the center of mass at t = 2.80 s. Vcm = cm/s
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter8: Momentum And Collisions
Section: Chapter Questions
Problem 31P
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Question
The vector position of a 3.65 g particle moving in the xy plane varies in time according to
r1 = (3î + 3ĵ)t + 2ĵt2
where t is in seconds and
r
is in centimeters. At the same time, the vector position of a 5.45 g particle varies as
r2 = 3î − 2ît2 − 6ĵt.
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