A 50-kg air conditioner is placed on top of a concrete pad with a cross-sectional area of 3.0 m² and 20 cm thick. What is the change in thickness of the pad? Young's modulus for concrete is 2.3 × 10¹⁰ N/m². A) 1.4 × 10^-9 m B) 2.8 × 10^-9 m C) 1.4 × 10^-8 m D) 1.4 × 10^-7 m E) 2.8 × 10^-8 m

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Quizplus · Accepted Answer

The change in thickness (ΔL) can be calculated using the formula ΔL = (F * L) / (A * Y), where F is the force (weight of the air conditioner), L is the original thickness, A is the area, and Y is Young's modulus. Here, F = 50 kg * 9.8 m/s² = 490 N, L = 0.2 m, A = 3.0 m², and Y = 2.3 × 10¹⁰ N/m². Substituting these values gives ΔL = (490 * 0.2) / (3.0 * 2.3 × 10¹⁰) = 1.4 × 10⁻⁹ m.

A 50-Kg Air Conditioner Is Placed on Top of a Concrete