The vector position of a 3.85 g particle moving in the xy plane varies in time according tor1 = (3î + 3ĵ)t + 2ĵt2where t is in seconds andris in centimeters. At the same time, the vector position of a 5.35 g particle varies asr2 = 3î − 2ît2 − 6ĵt.(a)Determine the vector position (in cm) of the center of mass of the system at t = 2.70 s.rcm = 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.vcm = cm/s(d)Determine the acceleration (in cm/s2) of the center of mass at t = 2.70 s.acm = cm/s2(e)Determine the net force (in µN) exerted on the two-particle system at t = 2.70 s.Fnet = µN

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Description: The vector position of a 3.85 g particle moving in the xy plane varies in time according tor1 = (3î + 3ĵ)t + 2ĵt2where t is in seconds andris in centimeters. At the same time, the vector position of a 5.35 g particle varies asr2 = 3î − 2ît2 − 6ĵt.(a)

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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 3.85 g particle moving in the xy plane varies in time according to

r₁ = (3î + 3ĵ)t + 2ĵt²

where t is in seconds and

is in centimeters. At the same time, the vector position of a 5.35 g particle varies as

r₂ = 3î − 2ît² − 6ĵt.

(a)

Determine the vector position (in cm) of the center of mass of the system at t = 2.70 s.

r_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

(e)

Determine the net force (in µN) exerted on the two-particle system at t = 2.70 s.

F_net =

µN

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