There is a cloud of marbles far out in space. The distance from one end of the cloud to the other is D, and the marbles all have mass m. Near the cloud are two asteroids. One of the asteroids has mass M, and is located a distance D from the near edge of the cloud, whereas the other has mass 12M, and is located a distance 3D from the near edge of the cloud, as shown in the illustration.

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Chapter13: Universal Gravitation
Section: Chapter Questions
Problem 13.11OQ
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Could I get an explaination please? I know it's about Newton's law of gravitation and the force between objects, but struggling with this one. 

There is a cloud of marbles far out in space. The distance from one end of the cloud to the other is D, and the marbles all have
mass m. Near the cloud are two asteroids. One of the asteroids has mass M, and is located a distance D from the near edge of
the cloud, whereas the other has mass 12M, and is located a distance 3D from the near edge of the cloud, as shown in
the illustration.
2D
D
m
Ma
12M.
At the edge of the cloud closest to the asteroids is a red marble, and at the edge furthest from the asteroids is a blue marble.
Match each asteroid and marble pairing with the expression that gives the correct gravitational force of attraction.
Gravitational force between
Gravitational force between
Gravitational force between
Gravitational force between
smaller asteroid
smaller asteroid
larger asteroid
larger asteroid
and red marble
and blue marble
and red marble
and blue marble
Transcribed Image Text:There is a cloud of marbles far out in space. The distance from one end of the cloud to the other is D, and the marbles all have mass m. Near the cloud are two asteroids. One of the asteroids has mass M, and is located a distance D from the near edge of the cloud, whereas the other has mass 12M, and is located a distance 3D from the near edge of the cloud, as shown in the illustration. 2D D m Ma 12M. At the edge of the cloud closest to the asteroids is a red marble, and at the edge furthest from the asteroids is a blue marble. Match each asteroid and marble pairing with the expression that gives the correct gravitational force of attraction. Gravitational force between Gravitational force between Gravitational force between Gravitational force between smaller asteroid smaller asteroid larger asteroid larger asteroid and red marble and blue marble and red marble and blue marble
Answer Bank
-() - () 12x ( 4* ( ( (a)
Mam
Mam
Mam
Mam
4 x (G-
D?
Mam
G.
D?
Mam
D?
D?
D?
Mam
Mam
Mam
3 x(G
( D2
6 x(G-
D2
Mam
D2
Which asteroid exerts the greater gravitational force on the marbles in the cloud?
the larger, more distant asteroid
the smaller, closer asteroid
Which asteroid has the greater tidal influence on the cloud of marbles? In other words, which asteroid tends to "stretch" the
cloud more?
the larger, more distant asteroid
the smaller, closer asteroid
Transcribed Image Text:Answer Bank -() - () 12x ( 4* ( ( (a) Mam Mam Mam Mam 4 x (G- D? Mam G. D? Mam D? D? D? Mam Mam Mam 3 x(G ( D2 6 x(G- D2 Mam D2 Which asteroid exerts the greater gravitational force on the marbles in the cloud? the larger, more distant asteroid the smaller, closer asteroid Which asteroid has the greater tidal influence on the cloud of marbles? In other words, which asteroid tends to "stretch" the cloud more? the larger, more distant asteroid the smaller, closer asteroid
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