Answer to Question #262291 in Physics for Miza

Question

A metal bar that has a cross-sectional area of 4,0 cm² and length of 50.0 cm is stretched by a force of 1.0x10⁴ N.

i) Find the stress on the wire.

ii) If the bar elongates by 0.5 cm, what is the strain in the wire?

iii) Determine the Young’s Modulus of the wire.

iv) Calculate the strain energy per unit volume stored in the wire.

Answer 1

$\text{i) }\sigma=F/A=25\text{ MPa}.\\ \text{ii) }\epsilon=\Delta L/L_0=0.01.\\ \text{iii) }E=\sigma/\epsilon=2.5\text{ GPa}.\\ \text{iv) }U_s=F^2/(2E)=0.02\text{ J}.$