The vector position of a 4.00 g particle moving in the xy plane varies in time according to r, = (3î + 3j)t + 2ĵt² where t is in seconds and r is in centimeters. At the same time, the vector position of a 5.55 g particle varies as r, = 3î - 2ît² – 6ĵt. 2 (a) Determine the vector position (in cm) of the center of mass of the system at t = 2.60 s. "cm cm (b) Determine the linear momentum (in g · cm/s) of the system at t = 2.60 s. p = g. cm/s (c) Determine the velocity (in cm/s) of the center of mass at t = 2.60 s. cm/s cm

Physics for Scientists and Engineers with Modern Physics
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Chapter9: Linear Momentum And Collisions
Section: Chapter Questions
Problem 28P: The vector position of a 3.50-g particle moving in the xy plane varies in time according to...
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(3î + 3j)t + 2ĵt² where t is in seconds andr is in centimeters. At the same
The vector position of a 4.00 g particle moving in the xy plane varies in time according tor,
time, the vector position of a 5.55 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.
cm
cm
(b) Determine the linear momentum (in g · cm/s) of the system at t = 2.60 s.
p =
g· cm/s
(c) Determine the velocity (in cm/s) of the center of mass at t = 2.60 s.
cm/s
cm
(d) Determine the acceleration (in cm/s2) of the center of mass at t = 2.60 s.
a
cm/s?
cm
(e) Determine the net force (in µN) exerted on the two-particle system at t = 2.60 s.
µN
net
Transcribed Image Text:(3î + 3j)t + 2ĵt² where t is in seconds andr is in centimeters. At the same The vector position of a 4.00 g particle moving in the xy plane varies in time according tor, time, the vector position of a 5.55 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. cm cm (b) Determine the linear momentum (in g · cm/s) of the system at t = 2.60 s. p = g· cm/s (c) Determine the velocity (in cm/s) of the center of mass at t = 2.60 s. cm/s cm (d) Determine the acceleration (in cm/s2) of the center of mass at t = 2.60 s. a cm/s? cm (e) Determine the net force (in µN) exerted on the two-particle system at t = 2.60 s. µN net
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