The vector position of a 3.50-g particle moving in the xy plane varies in time according to r rightarrow = (3i^ + 3j^ )t + 2j^ t2,where t is in seconds and r rightarrow is in centimeters. At the same time, the vector position of a 5.50-g particle varies asr2 rightarrow = 3i^ - 2i^t2 - 6j^ t. At t = 2.50 s, determine (a) the vector position of the center of mass, (b) the linear momentum of the system, (c) the velocity of the center of mass,(d) the acceleration of the center of mass, and (e) the net force exerted on the two-particle system.
The vector position of a 3.50-g particle moving in the xy plane varies in time according to r rightarrow = (3i^ + 3j^ )t + 2j^ t2,where t is in seconds and r rightarrow is in centimeters. At the same time, the vector position of a 5.50-g particle varies asr2 rightarrow = 3i^ - 2i^t2 - 6j^ t. At t = 2.50 s, determine (a) the vector position of the center of mass, (b) the linear momentum of the system, (c) the velocity of the center of mass,(d) the acceleration of the center of mass, and (e) the net force exerted on the two-particle system.
Glencoe Physics: Principles and Problems, Student Edition
1st Edition
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Paul W. Zitzewitz
Chapter6: Motion In Two Dimensions
Section6.3: Relative Velocity
Problem 27PP
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The vector position of a 3.50-g particle moving in the xy plane varies in time according to r rightarrow = (3i^ + 3j^ )t + 2j^ t2,where t is in seconds and r rightarrow is in centimeters. At the same time, the vector position of a 5.50-g particle varies asr2 rightarrow = 3i^ - 2i^t2 - 6j^ t. At t = 2.50 s, determine (a) the vector position of the center of mass, (b) the linear momentum of the system, (c) the velocity of the center of mass,(d) the acceleration of the center of mass, and (e) the net force exerted on the two-particle system.
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