Answer:
959183.7 kg
Explanation:
from the question we have :
young modulus = 5 x 10^{9} N/m^{2}
strain = 2% = 2÷100 = 0.02
diameter = 0.03 m
radius = 0.015 m
acceleration due to gravity (g) = 9.8 m/s^{2}
we can get the mass from the formula below
young modulus = stress ÷ strain
where
stress = \frac[force}{area} = \frac {mass x g}{area}
area = 2πr = 2π x 0.015 = 0.094
therefore
young modulus = \frac{\frac {mass x g}{area}}{strain}
5 x 10^{9} = \frac{\frac {mass x 9.8}{0.094}}{0.02}
mass = \frac{5 x 10^{9} x 0.02 x 0.094}{9.8}
mass = 959183.7 kg
