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Available I Sapling Learning Map. Due Date: Points Pos bodies are given in Astro

ID: 1780543 • Letter: A

Question

Available I Sapling Learning Map. Due Date: Points Pos bodies are given in Astronomical Units (ÁU). In the first picture, the velocity of the center of mass of the system is zero. Find the magnitude, ds of the star's displacement. Grade Cat Descriptio Ms= MA-2.5623 x10 kg mg= 5.9197 x 104 kg Number Policies: AU You can ch You can vie You can ke until you ge There is no For multiple depends or m 8.6951 x 1027 kg 0, 1.5067) 0.8727, 1.3819) DeTextbo (0.2505, 0) (-1.6007, 0) (0, 0) O Help Witk O Web Help O Technical (0,-0.2381) (-0.8443, -0.6517) Hint

Explanation / Answer

The x- and y-coordinates of the CM of the system must be fixed, so

X:

mS*0 + 2.5623e28*0.2505 + 5.9197e26*0.8727 + mC*0

= 2.1419e30*x + mA*0 – 5.9197e26*1.6007 - 8.6591e27*0.8443

x = 0.0066511 AU

Y:

mS*0 + mA*0 + 5.9197e26*1.3819 + 8.6591e27*1.5067

= 2.1419e30*y - 2.5623e28*0.2381 - mb*0 - 8.6591e27*0.6517

y = 0.01196 AU

so d = (x² + y²) = 0.01368 AU

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