Perewi Cor (Figure 1) shows the force needed to stretch a 20-m-long, 3.2mm-diameter wire Part A What is the strain when the wire has been stretched by 50 cm? Express your answer to two significant Mauren ? Vo] ΑΣΦ» - 124,4 Submit Previous Answers Request Answer * Incorrect; Try Again: one attempt remaining Figure 101 1 Part 8 What is the stress when the wire has been stretched by 5.0 cm? Express your answer to two significant figures and include the appropriate units. F (N) 1500 HA ? 1000 500 Value Units 0 AL (cm) Submit Request Answer 0 1 2 3 4 5 OE Value Units Submit Request Answer Part C 1 of 1 > What is Young's modulus for this wire? Express your answer to two significant figures and include the appropriate units. НА ? Y = Value Units Submit Request Answer TAL (cm) 5 Provide Feedhack



Answer :

The Young modulus for the wire is  7.44 * 10^9  N/m^2.

What is the stress of the wire?

For the wire that is under discussion here, we have the following parameter for the wire;

Length of the wire = 20-m

Diameter of the wire = 3.2mm

Extension of the wire = 50 cm

strain of the wire = extension/ length of the wire

strain of the wire = 50 * 10^-2 m/20 m

= 0.025

The stress of the wire = Force/Area

= 1500 N/(3.14 * (3.2 * 10^-3)^2/4)

= 1.86 * 10^8 N/m^2

Young modulus = Stress/strain = 1.86 * 10^8 N/m^2/ 0.025

= 7.44 * 10^9  N/m^2

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