- #1
joanneadams
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1Problem:
Two equal satellite, A and B, of a planet of mass M, describe circular trajectories where the radious are 0,5r and r. We can afirm that:
A- The intensity of gravitical force acting on B is half of the gravitical force acting on A;
B- The value of centripetal aceleration of A is one quarter of the value of centripetal aceleration of B.
C- The gravitic potencial energy of the sistem planet+B is double of the gravitic potential energy of the sistem planet+A.
D The work done by the gravitical force, during a complete turn, to satellite A is doubble of the work done by satelite B.
Useful equations:
Fg=G x (mM)/r2
ac=GM/r2
Epg=-GmM/r
Atempt of solution:
I think the right answer is option D.
A- is wrong because it's not half, is one quarter
B.- It's wrong because it's not one quarte, its four times
C- I think it's wrong because it's one half, and not double
D- Both of them are zero, and tecnically 0 times 2 is zero
But my teacher says it's option C, because she says is a negative number. I don't agree with her because, if we do the math we get Epg(B)=1/2Epg(A). why am i wrong, how can C be the right option?
Thank you, for your atention and sorry for the bad english...
Two equal satellite, A and B, of a planet of mass M, describe circular trajectories where the radious are 0,5r and r. We can afirm that:
A- The intensity of gravitical force acting on B is half of the gravitical force acting on A;
B- The value of centripetal aceleration of A is one quarter of the value of centripetal aceleration of B.
C- The gravitic potencial energy of the sistem planet+B is double of the gravitic potential energy of the sistem planet+A.
D The work done by the gravitical force, during a complete turn, to satellite A is doubble of the work done by satelite B.
Useful equations:
Fg=G x (mM)/r2
ac=GM/r2
Epg=-GmM/r
Atempt of solution:
I think the right answer is option D.
A- is wrong because it's not half, is one quarter
B.- It's wrong because it's not one quarte, its four times
C- I think it's wrong because it's one half, and not double
D- Both of them are zero, and tecnically 0 times 2 is zero
But my teacher says it's option C, because she says is a negative number. I don't agree with her because, if we do the math we get Epg(B)=1/2Epg(A). why am i wrong, how can C be the right option?
Thank you, for your atention and sorry for the bad english...