The area of cross section of a wire and its length are 1mm^2 and 2mm respectively.how much will be the work done to increase its length by 0.1mm . Youngs modulus of material of the wire=2.0*10^11n/m^2

Asked by Duhlani001 | 14th Apr, 2019, 03:21: PM

Expert Answer:

G i v e n
A r e a space A space equals space 1 m m squared space equals 1 space cross times space 10 to the power of negative 6 end exponent m squared
l e n g t h space l space equals space 2 m
E l o n g a t i o n space increment l space equals space 1 space cross times 10 to the power of negative 3 end exponent m
u sin g space h o o k e s space l a w
Y space equals space fraction numerator F cross times l over denominator A cross times increment l end fraction
s o space F space equals space fraction numerator Y cross times A cross times increment l over denominator l end fraction
p u t t i n g space a l space t h e space v a l u e s
w e space g e t
F space equals space fraction numerator 2 cross times 10 to the power of 11 cross times 1 cross times 10 to the power of negative 6 end exponent cross times 1 cross times 10 to the power of negative 3 end exponent over denominator 2 end fraction space equals space 100 N
s o space w o r k space d o n e
W space equals space 1 half cross times space F o r c e cross times space E l o n g a t i o n
W space equals space 0.5 cross times 100 cross times 1 cross times 10 to the power of negative 3 end exponent space equals 0.05 J o u l e

Answered by Ankit K | 15th Apr, 2019, 05:24: PM