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posted by  Tman1235 on 11/6/2009 11:26:23 PM  |  status: Closed  |  Earned Karma: 50

Stretching a wire

Course Textbook Chapter Problem Needs by
Calculus Based Physics Physics for Scientists and Engineers 7th by Serway, Jewett 12 N/A 11/9/2009 at 12:00:00 PM
Question Details:
How large a force is necessary to stretch a 4 - mm diameter copper wire (γ = 11 x 1010 N/m2) by 1% ?
A.) 1382 N
B.) 14223 N
C.) 13523 N
D.) 13823 N
E.) 138230 N
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posted by esther_jyothi on 11/6/2009 11:40:43 PM  |  status: Live
Asker's Rating: Lifesaver   
Response Details:
Given   
 Diameter of the copper wire  d  = 4 mm = 0.004  m
                               radius  r  = 0.004 / 2 =  0.002 m
         A rea of the copper wire   A = π r2 = 3.14 x 0.0022
                                                               = 0.00001256m2
       we know that   Y  =  F L  / A e
                     L  = length of the wire 
                      e   = L / 100
                    F  = Y A e  / L 
                         = 11 x 1010 x 0.1256 x -4  x L  / 100 L
                          = 13816
        Answere   is  ' D '
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