The vector position of a 3.40 g particle moving in the xy plane varies in time according to r, = (3î + 3ĵ)t + 2ĵt2 wheret is in seconds and r is centimeters. At the same time, the vector position of a 5.90 g particle varies as r, = 31 - 2ît2 - 6ſt. (а) Determine the vector position (in cm) of the center of mass of the system at t = 2.70 s. 'cm cm (b) Determine the linear momentum (in g· cm/s) of the system att = 2.70 s. p = g cm/s (c) Determine the velocity (in cm/s) of the center of mass at t = 2.70 s. %3D ст cm/s (d) Determine the acceleration (in cm/s2) of the center of mass at t = 2.70 s. %3D cm cm/s2 (e) Determine the net force (in µN) exerted on the two-particle system at t = 2.70 s. UN %3D net

The vector position of a 3.40 g particle moving in the xy plane varies in time according to r, = (3î + 3ĵ)t + 2ĵt2 wheret is in seconds and r is centimeters. At the same time, the vector position of a 5.90 g particle varies as r, = 31 - 2ît2 - 6ſt. (а) Determine the vector position (in cm) of the center of mass of the system at t = 2.70 s. 'cm cm (b) Determine the linear momentum (in g· cm/s) of the system att = 2.70 s. p = g cm/s (c) Determine the velocity (in cm/s) of the center of mass at t = 2.70 s. %3D ст cm/s (d) Determine the acceleration (in cm/s2) of the center of mass at t = 2.70 s. %3D cm cm/s2 (e) Determine the net force (in µN) exerted on the two-particle system at t = 2.70 s. UN %3D net

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Description: The vector position of a 3.40 g particle moving in the xy plane varies in time according to r, = (3î + 3ĵ)t + 2ĵt² where t is in seconds and r is incentimeters. At the same time, the vector position of a 5.90 g particle varies as r, = 3î - 2ît2 -6ĵt

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter10: Systems Of Particles And Conservation Of Momentum

Section: Chapter Questions

Problem 21PQ

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Question

The vector position of a 3.40 g particle moving in the xy plane varies in time according to r, = (3î + 3ĵ)t + 2ĵt² 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 - 2ît2 -
6ĵt.
(a)
Determine the vector position (in cm) of the center of mass of the system at t = 2.70 s.
cm
cm
(b)
Determine the linear momentum (in g · cm/s) of the system at t = 2.70 s.
p =
g· cm/s
(c)
Determine the velocity (in cm/s) of the center of mass at t = 2.70 s.
V.
cm
cm/s
(d)
Determine the acceleration (in cm/s2) of the center of mass at t = 2.70 s.
a cm
cm/s2
(е)
Determine the net force (in µN) exerted on the two-particle system at t = 2.70 s.
net
UN

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