The vector position of a 3.80 g particle moving in the xy plane varies in time according to r, = (3î + 3j)t + 2jt? where t is in seconds and ř is in centimeters. At the same time, the vector position of a 5.35 g particle varies as i, = 3î - 2ît? - 6jt. (a) Determine the vector position (in cm) of the center of mass of the system at t = 2.40 s. -1.991i + 6.961j cm cm

College Physics
11th Edition
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Chapter1: Units, Trigonometry. And Vectors
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The vector position of a 3.80 g particle moving in the xy plane varies in time according to r, = (3î + 3j)t + 2jt? where t is in
seconds and ř is in centimeters. At the same time, the vector position of a 5.35 g particle varies as i, = 3î - 2ît? - 6jt.
(a) Determine the vector position (in cm) of the center of mass of the system at t = 2.40 s.
-1.991i + 6.961j
cm
cm
(b) Determine the linear momentum (in g · cm/s) of the system at t = 2.40 s.
p =
-39.958i + 15.78j
g• cm/s
(c) Determine the velocity (in cm/s) of the center of mass at t = 2.40 s.
-4.367i+ 1.724j
cm/s
cm
(d) Determine the acceleration (in cm/s?) of the center of mass at t = 2.40 s.
a
cm
-2.339i + 1.66lj
cm/s2
(e) Determine the net force (in µN) exerted on the two-particle system at t = 2.40 s.
-2.14i + 15.2j
Fnet
UN
Transcribed Image Text:The vector position of a 3.80 g particle moving in the xy plane varies in time according to r, = (3î + 3j)t + 2jt? where t is in seconds and ř is in centimeters. At the same time, the vector position of a 5.35 g particle varies as i, = 3î - 2ît? - 6jt. (a) Determine the vector position (in cm) of the center of mass of the system at t = 2.40 s. -1.991i + 6.961j cm cm (b) Determine the linear momentum (in g · cm/s) of the system at t = 2.40 s. p = -39.958i + 15.78j g• cm/s (c) Determine the velocity (in cm/s) of the center of mass at t = 2.40 s. -4.367i+ 1.724j cm/s cm (d) Determine the acceleration (in cm/s?) of the center of mass at t = 2.40 s. a cm -2.339i + 1.66lj cm/s2 (e) Determine the net force (in µN) exerted on the two-particle system at t = 2.40 s. -2.14i + 15.2j Fnet UN
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