Fractional uncertainty of g on the surface of the Sun

AI Thread Summary
The discussion focuses on calculating the fractional uncertainty of gravitational acceleration (g) on the Sun's surface. Participants identify errors in the initial calculations, particularly in the notation and the handling of terms. A corrected value of 38.98 is confirmed for part b) of the problem. It is noted that the fractional uncertainty in distance (d) is significantly larger than that in mass (M), allowing for the simplification of the uncertainty in g to 1 in 7. Overall, the conversation emphasizes the importance of precise notation and understanding of uncertainties in calculations.
Jozefina Gramatikova
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Homework Statement



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Homework Equations


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The Attempt at a Solution


39154928_2130599527158088_4581274140983427072_n.jpg

it looks like I got too big numbers for the uncertainty
 

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Looks like you got the calculus part correct. The numbers you entered after that are too small and not written neatly enough to be able to see them.
 
You seem to have crossed over terms, e.g. you have ##\frac{\partial Z}{\partial A}\alpha_B## instead of ##\frac{\partial Z}{\partial A}\alpha_A##.
 
haruspex said:
You seem to have crossed over terms, e.g. you have ##\frac{\partial Z}{\partial A}\alpha_B## instead of ##\frac{\partial Z}{\partial A}\alpha_A##.
Oh, thank you so much I got 38.98 now for part b). I hope that this is correct.
 
Jozefina Gramatikova said:
Oh, thank you so much I got 38.98 now for part b). I hope that this is correct.
Looks ok. Notice that the fractional uncertainty in d (1 in 14) is far higher than that in M. This means you can ignore the uncertainty in M and write down immediately that the uncertainty in g is 1 in 7 (doubled because of d2).
 
haruspex said:
Looks ok. Notice that the fractional uncertainty in d (1 in 14) is far higher than that in M. This means you can ignore the uncertainty in M and write down immediately that the uncertainty in g is 1 in 7 (doubled because of d2).
Thanks
 
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