Assignment 10 x\\G Many Caterpillars Constr× C O Not secure www.webassign.net/we

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Assignment 10 xG Many Caterpillars Constr× C O Not secure www.webassign.net/web/Student/Assignment-Responses/submit? dep-16600314 1/4 points | Previous Answers FRKestenCP1 9.P074 A particular human hair has a Young's modulus of 4.0 x 109 N/m2 and a diameter of 150 m. air stretch? (a) If a 250-g object is suspended by the single strand of hair that is originally 20 cm long, by how much will the h s modulus of 4.0 x 109 N/m2 and a diameter of 150 microns. A 250-g object is hung from a 20-cm-long hair. We ca the hair stretches from the weight of the object, the cross-sectional area of the hair strand, the original length of the strand, and uminum stretch? (Try to do this pa (b) If the same object were hung by an aluminum wire of the same dimensions as the hair, by how much would the al previous calculation, but use proportional reasoning instead. Also, see the table.) The Young's modulus of aluminum is 70 x 109 N/m cm (c) If we think of the strand of hair as a spring, what is its spring constant? (d) How does the hair's spring constant compare with that of ordinary springs in your physics laboratory? It is significantly larger It is significantly smaller It is comparable. Show My Work@ptional) @ Submit Answer Save Progress 1/1 points I Previous Answers FRKestenCP1 9.P075

Explanation / Answer

a) let the hair stretch by x

x = L * F/(A * Y)

x = 20 * 0.250 * 9.8/(pi * (150 *10^-6/2)^2 * 4 *10^9)

x = 0.693 cm

the hair will strech is 0.693 cm

b)

for the aluminium

x = L * F/(A * Y)

x = 20 * 0.250 * 9.8/(pi * (150 *10^-6/2)^2 * 70 *10^9)

x = 0.0396 cm

the hair will strech is 0.0396 cm

c)

for the spring constant

as x = F/k

k = A * Y/L

k = pi * (150 *10^-6/2)^2 * 4 *10^9/0.20

k = 353.4 N/m

the spring constant is 353.4 N/m

d) It is comparable

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