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Slope of T2 vs m is 4pi2/k
Given. Squaring on both siden. we set > () » (2) Ir in in the fam af Oy compenin ejution c1) aned (2) we Sut slope = m = slope of 1ivs) m graph is Givn, unstretched Vertical Sprng langth ,= 1.35 to.05 cm mass of spnng, m= soo.0 t o.9 Atter hanging man.
Stretched to length L= 12.50£ 0.05 cm Spring Constant, k = ? For mula: - ve reprusunts . F,x ae oppesilE mg = mg x= L-L, = (12.50 t 0.05 )- (1:35 10 os) =(12-50-7.35) ± (0.os +o.o5) %3D %3D %3D S.15 t0.1Cml
500.0x16x918 mg -3 5.15 xiót 4900 x103 9514 xió! N/m - 95.14 S.15X15 Sping Constant, k= 95.14 H/m uncertainity in Spring Constant; unertainityin man, X I60 = 0.02 Y, 500 uncartainity in 2, du- 1-94 /. + or X it adol up unertainity Tot니 unurtainity of sping Constaut.k is, - 196 . O'02 1. + .941.
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L.96%. uncartainity in' k springcoustant Velene of uncertainitg in spring Constantk is, 1.96 1.96x95114 %3D 1.96x95.14 100 95.14 - 100 166.47 = 1.86 100 in Spring Constant, k = r 86 uncertaiuily value of Spring Ganttent.k =(95.14 ± li86) m.
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