to the larger star? +y L₂+ c. What is the y component of the force? 10M b. What is the x component of this force? Hint: you should be able write the values the sines and cosines without using any inverse trig functions. You don't need to know what the angles are, just what the sines and cosines ar 3L 4L 5L 4L d. Write the force on the space probe due to the smaller star in component vector form. Give answers in terms o

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter7: Gravity
Section: Chapter Questions
Problem 68PQ
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1. A space probe of mass m approaches a binary star system as
shown. The masses and positions are given on the diagram.
a. What is the magnitude of the force on the space probe due
to the larger star?
C. What is the y component of the force?
O
8M
e.
4L
ty
Latx
m
10M
b. What is the x component of this force? Hint: you should be able write the values the sines and cosines without
using any inverse trig functions. You don't need to know what the angles are, just what the sines and cosines are!
3L
What is the net force on the space probe of mass m in component vector form?
3L
4L
5L
d. Write the force on the space probe due to the smaller star in component vector form. Give answers in terms of
m, M. L, and G. Please simplify.
4L
f. What is the direction of the net force? Give angle counterclockwise from +x axis. You should get a numerical
answer.
Transcribed Image Text:1. A space probe of mass m approaches a binary star system as shown. The masses and positions are given on the diagram. a. What is the magnitude of the force on the space probe due to the larger star? C. What is the y component of the force? O 8M e. 4L ty Latx m 10M b. What is the x component of this force? Hint: you should be able write the values the sines and cosines without using any inverse trig functions. You don't need to know what the angles are, just what the sines and cosines are! 3L What is the net force on the space probe of mass m in component vector form? 3L 4L 5L d. Write the force on the space probe due to the smaller star in component vector form. Give answers in terms of m, M. L, and G. Please simplify. 4L f. What is the direction of the net force? Give angle counterclockwise from +x axis. You should get a numerical answer.
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