Question 37 of 37 Sapling Learning The figures show a hypothetical bodieš are gi

Question

Question 37 of 37 Sapling Learning The figures show a hypothetical bodieš are given in As system is zero. Find the magnitude, ds, of the star's displacement. m at two diferent times. The spatial coordinates (x, y) of the Units (ÁU), In the first picture, the velocity of the center of mass of mg .8975 x 1o@ kg mA - 2.9289 x10 kg mg-6.1019 x 104 kg mc = 8.2507 x 1027 kg Number A (0.1.1779) tc (0.4995, 1.3819 (0.3891, 0) (-1.8495, 0) 0, 0) (o, 01958) (-0.6755,-0.844 0 Previous Give Up & View Solution -Check Answer Next Exit

Explanation / Answer

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

X:

mS*0 + 2.9289e28*0.3891 + 6.1019e26*0.4995 + mC*0

= 1.8975e30*x + mA*0 – 6.1019e26 *1.8495 - 8.2507e27*0.6755

x = 0.0096986 AU

Y:

mS*0 + mA*0 + 6.1019e26*1.3819 + 8.2507e27*1.1779

= 1.8975e30*y - 2.9289e28*0.1959 - mb*0 - 8.2507e27*0.8445

y = 0.012262 AU

so d = (x² + y²) = 0.015633924 AU

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