The following figure shows six pairs of asteroids, labeled with their relative masses (M) and distances (d) between them. For example, an asteroid with M-2 has twice the mass of one with M=1 and a distance of d=2 is twice as large as a distance of d=1. Using the letters ABCDEF, rank each pair according to the gravitational force attracting the asteroids to each other, from strongest to weakest. 1) d=1 d=1 M=2 M=1 M=2 M=2 2) 5) d=2 d=2 M=1 M=2 M=2 M=2 3) d=2 d=3 M=1 M=1 М-2 M=2 A) Pair 5 B) Pair 3 C) Pair 1 D) Pair 6 E) Pair 2
The following figure shows six pairs of asteroids, labeled with their relative masses (M) and distances (d) between them. For example, an asteroid with M-2 has twice the mass of one with M=1 and a distance of d=2 is twice as large as a distance of d=1. Using the letters ABCDEF, rank each pair according to the gravitational force attracting the asteroids to each other, from strongest to weakest. 1) d=1 d=1 M=2 M=1 M=2 M=2 2) 5) d=2 d=2 M=1 M=2 M=2 M=2 3) d=2 d=3 M=1 M=1 М-2 M=2 A) Pair 5 B) Pair 3 C) Pair 1 D) Pair 6 E) Pair 2
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter11: Gravity, Planetary Orbits, And The Hydrogen Atom
Section: Chapter Questions
Problem 11OQ
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Transcribed Image Text:The following figure shows six pairs of asteroids, labeled with their relative masses (M) and distances (d) between them. For example, an asteroid with M=2 has twice the mass of one with M=1 and a distance of d=2 is twice as large as a distance of d=1. Using the letters ABCDEF, rank
each pair according to the gravitational force attracting the asteroids to each other, from strongest to weakest.
1)
4)
d=1
d=1
M=2
M=1
M=2
M=2
2)
5)
d=2
d=2
M=1
M=2
M=2
M=2
3)
d=2
d=3
M=1
M=1
M=2
M=2
A) Pair 5
B) Pair 3
C) Pair 1
D) Pair 6
E) Pair 2
Expert Solution
Step 1
Gravitational force of attraction is given be:
F =
Now we calculate force for all 6 pairs:
1) F = = 2G
2) F = = G
3) F= =
4)F= = 4G
5) F = =
6) F = =
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