The vector position of a 3.80g particle moving in the xy plane varies in time according tor, = (31 + 3j)t + 2jt? where t is in seconds and r is in centimeters. At the same time, the vector position of a 5.35 g particle varies as r, = 31 - 2ît2 - 6ît. (a) Determine the vector position (in cm) of the center of mass of the system at t = 2.40 s. cm cm- (b) Determine the linear momentum (in g · cm/s) of the system at t = 2.40 s. p = g. cm/s (c) Determine the velocity (in cm/s) of the center of mass at t = 2.40 s. V cm = cm/s (d) Determine the acceleration (in cm/s2) of the center of mass at t = 2.40 s. a cm = cm/s2

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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 tor,
= (3î + 3j)t + 2ĵt2 where t is in seconds and r is in centimeters. At the same time, the vector position of a 5.35 g
particle varies as r, = 3î - 2ît? -
6jt.
(a) Determine the vector position (in cm) of the center of mass of the system at t = 2.40 s.
cm
'cm
(b) Determine the linear momentum (in g · cm/s) of the system at t = 2.40 s.
p =
g• cm/s
(c) Determine the velocity (in cm/s) of the center of mass at t = 2.40 s.
cm/s
%3D
cm
(d) Determine the acceleration (in cm/s2) of the center of mass at t = 2.40 s.
a,
cm/s?
cm
(e) Determine the net force (in µN) exerted on the two-particle system at t = 2.40 s.
Fnet
µN
Transcribed Image Text:The vector position of a 3.80 g particle moving in the xy plane varies in time according tor, = (3î + 3j)t + 2ĵt2 where t is in seconds and r is in centimeters. At the same time, the vector position of a 5.35 g particle varies as r, = 3î - 2ît? - 6jt. (a) Determine the vector position (in cm) of the center of mass of the system at t = 2.40 s. cm 'cm (b) Determine the linear momentum (in g · cm/s) of the system at t = 2.40 s. p = g• cm/s (c) Determine the velocity (in cm/s) of the center of mass at t = 2.40 s. cm/s %3D cm (d) Determine the acceleration (in cm/s2) of the center of mass at t = 2.40 s. a, cm/s? cm (e) Determine the net force (in µN) exerted on the two-particle system at t = 2.40 s. Fnet µN
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