Iwo stars in a binary system orbit around their center of mass. The centers of the two stars are 7.80 x 10" m apart. The larger of the two stars has a mass of 3.50 x 10" kg, and its center is 3.00 x 10" m from the system's center of mass. What is the mass of the smaller star? [2.19 x 10° kg) Xz=7.80x10"m Xcom =4.8x10m X, =0 + X eom 0 M= 3.50X10 m= 3?

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Chapter1: Units, Trigonometry. And Vectors
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Pease can you solve number 1 Draw a free body diagram and explain step by step written down on a piece of paper instead of just typing everything on the computer. Thanks!

Center of Mass Homework Problems
1.
Two stars in a binary system orbit around their center of mass. The centers of the two stars are
7.80 x 10" m apart. The larger of the two stars has a mass of 3.50 x 100 kg, and its center is
3.00 x 101 m from the system's center of mass. What is the mass of the smaller star?
[2.19 x 1030 kg]
Xz=7.80x10" m
Xcom =4.8x10m
え,-0
X com
30
M= 3.50X10
m=マ?
2. A uniform piece of wire, 30 cm long, is bent in the center to give it an L-shape. How far from the
bend is the center of mass? [5.3 cm, help: Xcm = 3.75 and ycm =3.75]
3. What is the x coordinate of the center of mass for the uniform
21
4L
plate shown in the Figure? [-0.09L]
3L
41
21.
21
Transcribed Image Text:Center of Mass Homework Problems 1. Two stars in a binary system orbit around their center of mass. The centers of the two stars are 7.80 x 10" m apart. The larger of the two stars has a mass of 3.50 x 100 kg, and its center is 3.00 x 101 m from the system's center of mass. What is the mass of the smaller star? [2.19 x 1030 kg] Xz=7.80x10" m Xcom =4.8x10m え,-0 X com 30 M= 3.50X10 m=マ? 2. A uniform piece of wire, 30 cm long, is bent in the center to give it an L-shape. How far from the bend is the center of mass? [5.3 cm, help: Xcm = 3.75 and ycm =3.75] 3. What is the x coordinate of the center of mass for the uniform 21 4L plate shown in the Figure? [-0.09L] 3L 41 21. 21
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