Two wires of radius 0.2 cm and negligible mass, one steel and one brass, are loaded as shown. The steel wire has length 1.6 m. Young's modulus for steel is 2 × 10¹¹ N m⁻² and g = 10 m s⁻². The elongation of the steel wire i $s ______$ × 10⁻⁶ m.

Question

G1 Physics · Accepted Answer

From the loading arrangement, the tension in the steel wire is the total supported weight: T = (2.00 + 1.14)g = 3.14×10 = 31.4 N Steel-wire radius: r = 0.2 cm = 2×10⁻³ m Area: A = πr² Elongation: ΔL = TL/(AY) = (31.4×1.6) / [π(2×10⁻³)²(2×10¹¹)] ≈ 2.0×10⁻⁵ m = 20×10⁻⁶ m Final value: 20

Two wires of radius 0.2 cm and negligible mass, one steel and one brass, are loaded as shown. The steel wire has length 1.6 m. Young's modulus for steel is 2 × 10¹¹ N m⁻² and g = 10 m s⁻². The elongation of the steel wire i s ______ × 10⁻⁶ m.