A steel lift column in a service station is a solid cylinder 4.0 m long and 0.20 m in diameter. Young's modulus for this steel is 20 × 10¹⁰ N/m². By what distance does the column compress when a 5000-kg truck is on it? A) 4.7 × 10^-7 m B) 8.0 × 10^-7m C) 3.2 × 10^-6 m D) 7.8 × 10^-6 m E) 3.1 × 10^-5 m

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Quizplus · Accepted Answer

The compression can be calculated using the formula ΔL = (F * L) / (A * Y), where F is the force (mg), L is the original length, A is the cross-sectional area, and Y is Young's modulus. Substituting the given values results in a compression of approximately 3.1 × 10^-5 m.

A Steel Lift Column in a Service Station Is a Solid