How Is the Effective Stiffness of an Interatomic Bond Calculated in Iron?

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The discussion focuses on calculating the effective stiffness of an interatomic bond in iron using a specific experimental setup. A 2.0 m long iron bar with a square cross-section is subjected to a 151 kg mass, resulting in a length increase of 1.03 cm. The relevant equations for Young's modulus and stiffness are provided, with the calculation yielding a solution for the effective stiffness. The user successfully resolves the problem, indicating the calculations were completed. The effective stiffness of interatomic bonds can thus be modeled using mechanical properties observed in practical applications.
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Homework Statement


One mole of iron has a mass of 56 grams and density of 7.87 g/cm^3. You have a long thin bar of iron, 2.0 m long, with a square cross section, 0.12 cm on a side. You hang the rod vertically and attach a 151 kg mass to the bottom, and you observe that the bar becomes 1.03 cm longer. Calculate the effective stiffness of the interatomic bond, modeled as a "spring":

Homework Equations


Y= (F/A)/(dL/L
Y=ks/d

The Attempt at a Solution


Y=[(151*9.8)/(0.12e-2)2]/[(1.03e-2)/2]
 
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nvm i solved it
 

Thread 'Errors and significant figures'

I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
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Thread 'A cylinder connected to a hanging mass'

Thread 'A cylinder connected to a hanging mass'

Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
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