Gravitational force multiple choice question

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The discussion revolves around a multiple-choice question about gravitational force, with the main focus on determining the correct answer among four options. The consensus leans towards option "C," which states that gravitational force is directly proportional to the product of the masses involved, while options "A," "B," and "D" are argued to be incorrect for various reasons. Option "A" is dismissed as too limited, "B" is rejected because gravitational force is inherently attractive, and "D" is contested for being Earth-specific and not universally applicable. There is confusion regarding the validity of option "D," as some sources claim it is correct, but participants argue that gravitational force should be seen as a general concept. Ultimately, the discussion highlights the complexities and nuances in understanding gravitational force in different contexts.
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Homework Statement


Which of the following is a correct statement about gravitational force?
A. It is applicable only to our solar system.
B. It is both an attractive and repulsive force.
C. It is directly proportional to the product of the masses involved.
D. It is directly proportional to both the mass and radius of the earth.




The Attempt at a Solution


The answer I got for this question is "C" because it seems to be the most correct out of the four possible choices but I was just wondering I am correct because:

For:

A) It cannot only be applicable to our solar system because we have not yet discovered or know enough of other solar systems to make this assumption therefore "A" is wrong.

B)Gravitational force is defined as an attractive force emitted by particles that attracts other particles, so therefore I am guessing, it cannot be a repulsive force therefore "B" is wrong.

However I have heard somewhere that a gravitational force that is repulsive does exist in dark matter, so I was just wondering if this could make "B" correct?

C)Is what I guess to be right.

D)Gravitational force exists on other planets also, therefore it cannot be possible that it is directly proportional to both the mass and radius of Earth in every case, so "D" is wrong.
 
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Your choice is correct.
 
rl.bhat said:
Your choice is correct.

I just have one question, I just happened upon a site that has the exact same question with the exact same choices and what they put as the correct answer is "D". I was just wondering if "D" is really the correct answer and why it is if it is the correct choice? Thanks for your help though, I really appreciate it.
 
Problem I have with answer D being right is that I would assume "gravity force" is a general term, not Earth specific.Secondly, it should be inversely proportional, as the gravity force goes down as you go farther out from the center of gravity, or in other words, having a larger Earth radius.
 
aerospaceut10 said:
Problem I have with answer D being right is that I would assume "gravity force" is a general term, not Earth specific.


Secondly, it should be inversely proportional, as the gravity force goes down as you go farther out from the center of gravity, or in other words, having a larger Earth radius.

Now that you mention it, yeah that would be another reason why "D" should not be the right answer.

I know that this is a multiple choice question and that there is only one right answer (and the answer is apparently "D" for some strange reason) but I chose choice "C" would choosing "C" for an answer be correct still or is "C" incorrect for this question?
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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