The vector position of a 3.30 g particle moving in the xy plane varies in time according to r. = (31 + 31)t + 2it? where t is in seconds and r is in centimeters. At the same time, the vector position of a 5.90 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= 2.60 s.

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Chapter1: Units, Trigonometry. And Vectors
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The vector position of a 3.30 g particle moving in the xy plane varies in time according to r, = (31 + 31)t + 2jt? whcre t is in seconds andris in centimeters. At the same time, the vector position of a
5.90 g particle varies as r, = 3î - 2it - 6jt.
(a) Determine the vector position (in cm) of the center of mass of the system at t = 2.60 s.
-5.84i - 0.832j cm
cm =
(b) Determine the linear momentum (in g · cm/s) of the system at t = 2.60 s.
p = -54.3i + 17.4j 9 cm/s
physPad
Operations
(c) Determine the velocity (in cm/s) of the center of mass at t = 2.60 s.
Symbols
Relations
Vem - -5.63i +0.89j cm/s
Sets
Vectors
(d) Determine the acceleration (in cm/s2) of the center of mass at t = 2.60 s.
Trig
Greek
a.
"cm =0
cm/s?
O Helo
(e) Determine the net force (in pN) exerted on the two-particle system at t = 2.60 s.
Fnet=
net
UN
S 回
Transcribed Image Text:The vector position of a 3.30 g particle moving in the xy plane varies in time according to r, = (31 + 31)t + 2jt? whcre t is in seconds andris in centimeters. At the same time, the vector position of a 5.90 g particle varies as r, = 3î - 2it - 6jt. (a) Determine the vector position (in cm) of the center of mass of the system at t = 2.60 s. -5.84i - 0.832j cm cm = (b) Determine the linear momentum (in g · cm/s) of the system at t = 2.60 s. p = -54.3i + 17.4j 9 cm/s physPad Operations (c) Determine the velocity (in cm/s) of the center of mass at t = 2.60 s. Symbols Relations Vem - -5.63i +0.89j cm/s Sets Vectors (d) Determine the acceleration (in cm/s2) of the center of mass at t = 2.60 s. Trig Greek a. "cm =0 cm/s? O Helo (e) Determine the net force (in pN) exerted on the two-particle system at t = 2.60 s. Fnet= net UN S 回
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