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A hanging magnesium wire with diameter 0.5 mm (0.5 × 10-3 m) is initially 1.25 m...

A hanging magnesium wire with diameter 0.5 mm (0.5 × 10-3 m) is initially 1.25 m long. When a 98 kg mass is hung from it, the wire stretches an amount 153 mm. A mole of magnesium has a mass of 24 grams, and its density is 1.74 g/cm3. Find the approximate value of the effective spring stiffness of the interatomic force.

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Stress g = 960-YN A=TA 3 2. I9635 m2 F - 960-Y -489 , 1266 Pa 1.963S Shoun, E = change in .0ew.94h orjinal levglh 153 mm 25 m 12Sm E 01224 The applied forca is dishibuted -the bonds . The number of bo eually ameng al Qmov ^o of atoms of mjmesium ) n = (number of mobes of magnesim)x6022x, 23 отт number of molas of mosmasium oire now mags ot u>ire can be -^ouu using volame siYe, 25 cm molecula/ mass, M 24 Number of malu= m- . thore fore numbex bonds (o umber of atom) 1,071 6X10 22 (oraro ms) n bond, ole Ma =249 density of Mg =)-7y9lew,3 ASS on e h Volume of one male of M mass densル -24 cm3 voeume of one atom of considerènq diameler of Mq atom as x cn MO·therefore, ỵ3_ ㄐ 3 Cm χ= 2.8399 X10-om diameter of Mg oJom bond ength Bond ex*eMston Ax - Ex force ou each bond ecfiwe spn ness 960 , ч

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