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. (a) Determine the vector position (in cm) of the center of mass of the system at t = 2.60 s. cm = -5.975i – 0.286j 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 ст (d) Determine the acceleration (in cm/s²) of the center of mass at t = 2.60 s. cm/s? 'cm (e) Determine the net force (in µN) exerted on the two-particle system at t = 2.60 s. Fnet -4.8 i+ 2.1 j µN =
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. (a) Determine the vector position (in cm) of the center of mass of the system at t = 2.60 s. cm = -5.975i – 0.286j 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 ст (d) Determine the acceleration (in cm/s²) of the center of mass at t = 2.60 s. cm/s? 'cm (e) Determine the net force (in µN) exerted on the two-particle system at t = 2.60 s. Fnet -4.8 i+ 2.1 j µN =
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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![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 andr is in centimeters. At the same
time, the vector position of a 5.55 g particle varies as r,
= 3î - 2ît? - 6ĵt.
(a) Determine the vector position (in cm) of the center of mass of the system at t = 2.60 s.
-5.975i – 0.286j
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.
V
cm
cm/s
(d) Determine the acceleration (in cm/s2) of the center of mass at t = 2.60 s.
cm/s?
cm
(e) Determine the net force (in µN) exerted on the two-particle system at t = 2.60 s.
-4.8 i+ 2.1 j
µN
net](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc8bc1f25-133b-4e2d-b0c5-decd9ff312ba%2F06c4ad4a-d6a7-4965-9af7-e8eb8fdb0bda%2F3x1ee8_processed.png&w=3840&q=75)
Transcribed Image Text: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 andr is in centimeters. At the same
time, the vector position of a 5.55 g particle varies as r,
= 3î - 2ît? - 6ĵt.
(a) Determine the vector position (in cm) of the center of mass of the system at t = 2.60 s.
-5.975i – 0.286j
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.
V
cm
cm/s
(d) Determine the acceleration (in cm/s2) of the center of mass at t = 2.60 s.
cm/s?
cm
(e) Determine the net force (in µN) exerted on the two-particle system at t = 2.60 s.
-4.8 i+ 2.1 j
µN
net
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