The vector position of a 3.95 g particle moving in the xy plane varies in time according to r, = (3î + 3j)t + 2ĵt where t is in seconds and r is incentimeters. At the same time, the vector position of a 5.75 g particle varies as r, = 3î - 2ît2 - 6ĵt.(а)Determine the vector position (in cm) of the center of mass of the system at t = 2.90 s.cm'cm =(Б)Determine the linear momentum (in g· cm/s) of the system at t = 2.90 s.p =g·cm/s(c)Determine the velocity (in cm/s) of the center of mass at t = 2.90 s.Vстcm/s(d)Determine the acceleration (in cm/s) of the center of mass at t = 2.90 s.cm/s2%3Da cm(е)Determine the net force (in µN) exerted on the two-particle system at t = 2.90 s.UN

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Description: The vector position of a 3.95 g particle moving in the xy plane varies in time according to r, = (3î + 3j)t + 2ĵt where t is in seconds and r is incentimeters. At the same time, the vector position of a 5.75 g particle varies as r, = 3î - 2ît2 - 6ĵt

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The vector position of a 3.95 g particle moving in the xy plane varies in time according to r, = (3î + 3)t + 2ĵt² where t is in seconds and r is in centimeters. At the same time, the vector position of a 5.75 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 = 2.90 s. cm (b) Determine the linear momentum (in g· cm/s) of the system at t = 2.90 s. p = g•cm/s (c) Determine the velocity (in cm/s) of the center of mass at t = 2.90 s. cm/s ст

The vector position of a 3.95 g particle moving in the xy plane varies in time according to r, = (3î + 3)t + 2ĵt² where t is in seconds and r is in centimeters. At the same time, the vector position of a 5.75 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 = 2.90 s. cm (b) Determine the linear momentum (in g· cm/s) of the system at t = 2.90 s. p = g•cm/s (c) Determine the velocity (in cm/s) of the center of mass at t = 2.90 s. cm/s ст

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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Question

The vector position of a 3.95 g particle moving in the xy plane varies in time according to r, = (3î + 3j)t + 2ĵt where t is in seconds and r is in
centimeters. At the same time, the vector position of a 5.75 g particle varies as r, = 3î - 2ît2 - 6ĵt.
(а)
Determine the vector position (in cm) of the center of mass of the system at t = 2.90 s.
cm
'cm =
(Б)
Determine the linear momentum (in g· cm/s) of the system at t = 2.90 s.
p =
g·cm/s
(c)
Determine the velocity (in cm/s) of the center of mass at t = 2.90 s.
V
ст
cm/s
(d)
Determine the acceleration (in cm/s) of the center of mass at t = 2.90 s.
cm/s2
%3D
a cm
(е)
Determine the net force (in µN) exerted on the two-particle system at t = 2.90 s.
UN

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