A sample of fishing line is 1.0 m long and is of circular cross-section of radius 0.25 mm. When a weight is hung on the line, the extension is 50 mm and the stress is 2.0 × 10⁸ Pa. Calculate:
a. The cross-sectional area of the line
b. The weight added
c. The strain in the line
d. The Young modulus
e. The percentage and absolute uncertainties in the Young modulus if the uncertainty in the extension is ±1 mm.