One mole of magnesium (6 *10^23 atoms) has a mass of 24 grams, and its density i

Question

One mole of magnesium (6 *10^23 atoms) has a mass of 24 grams, and its density is 1.74 grams per cubic centimeter. You have a long thin bar of magnesium, 2.9 m long, with a square cross section, 0.13 cm on a side.

You hang the rod vertically and attach a 35 kg mass to the bottom, and you observe that the bar becomes 1.47 cm longer. Calculate the effective stiffness of the interatomic bond, modeled as a "spring":
ks = N/m

One mole of magnesium (6 *10^23 atoms) has a mass of 24 grams, and its density is 1.74 grams per cubic centimeter. You have a long thin bar of magnesium, 2.9 m long, with a square cross section, 0.13 cm on a side. You hang the rod vertically and attach a 35 kg mass to the bottom, and you observe that the bar becomes 1.47 cm longer. Calculate the effective stiffness of the interatomic bond, modeled as a "spring": Next you remove the 35 kg mass, place the rod horizontally, and strike one end with a hammer. How much time capital Delta t will elapse before a microphone at the other end of the bar will detect a disturbance?

Explanation / Answer

The force applied to the bar is 34*9,8 = 333.2 N. The extension of the wire ?L = 0.0145 m, so the bar stiffness is F/?L = 2.30*10^4 N/m

The number of atoms in one layer of cross section is area of the bar divided by the area of one atom =0.0012

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