e 4/18/2017 12:10 PM (A B5 of 100 Gradebook ten Print M Calculator Periodic Tabl

Question

e 4/18/2017 12:10 PM (A B5 of 100 Gradebook ten Print M Calculator Periodic Table Question 7 of 20 Map deta Sapling Learning The figures show a hypothetical planetary system at two different times. The spatial coordinates (x, y) of the bodies are given in Astronomical Units (AU) 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. 1.7753 x 1000 kg Number ITTA 1.9513 x 102 kg me 7-0129 x 10 kg AU 7.1397 1027 kg (O. 1.6711) (0.8727, 1.5929) (0-2505, 0) (-1.8495, o) (0, o) (0, -0.4913) (-0.7 177. -o, 6517) AO Previous Check Answer Next Exit r

Explanation / Answer

The x- and y-coordinates of the CM of the system must be fixed, so
X:
mS*0 + 1.9513e28*0.2505+ 7.0129e26*0.8727 + mC*0
= 1.7753e30*x + mA*0 - 7.0129e26*0.8727 - 7.1397e27*1.6711
x = 0.01016346 AU

Y:
mS*0 + mA*0 + 7.0129e26*1.5929 + 7.1397e27*1.6711
= 1.7753e30*y - 1.9513e28*0.4913 - mb*0 - 7.1397e27*0.6517
y = 0.015370876 AU

so d = (x² + y²) = 0.01843 AU
barring computational error.

Related Questions

Navigate

• Browse (All)
• Browse E
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.