Answer:
Young's modulus (Y) = 3.56×10^11 N/m^2
The speed of sound in tungsten = 6166.4 m/s
Explanation:
Young's modulus (Y) = stress/strain
Stress = force/area
Force = mg = 30×9.8 = 294 N
Area = 1.5 × 2.6 = 3.9 mm^2 = 3.9/10^6 = 3.9×10^-6 m^2
Stress = 294/3.9×10^-6 = 7.54×10^7 N/m^2
Strain = extension/length
Extension = 0.000594 m
Length = 2.8 m
Strain = 0.000594/2.8 = 2.12×10^-4
Y = 7.54×10^7/2.12×10^-4 = 3.56×10^11 N/m^2
Y = h × rho × g
rho = 18.7 g/cm^3 = 18.7 g/cm^3 × 1 kg/1000 g × (100 cm/1 m)^3 = 18,700 kg/m^3
h = 3.56×10^11/(18,700×9.8) = 1.94×10^6 m
From the equations of motion
v^2 = u^2 + 2gh =
Initial speed (u) = 0 m/s
v = sqrt (2×9.8×1.94×10^6)
v = 6166.4 m/s
