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Given a human anterior cruciate ligament (ACL) and a steel rod subjected to the same stretching force with identical cross-sectional areas, if the ACL has a length of 2.7 cm and the steel rod has a length of 54.0 m, find:

True/False: The ratio of the change in length of the ACL to the change in length of the steel rod using Young's Modulus.

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Final answer:

The ratio of the change in lengths (ΔL) of a human ACL and a steel rod under the same stretching force and cross-sectional area is determined by their respective Young's Modulus and therefore is not constant. This reflects the difference in physical properties between biological tissue and steel, observed in physics studies.

Step-by-step explanation:

The question asks whether the ratio of the change in length (ΔL) of a human anterior cruciate ligament (ACL) to the change in length of a steel rod is true or false when given the same stretching force and identical cross-sectional areas, using Young's Modulus. This concept relates to the physical properties of materials, specifically elasticity and stress-strain relationships, which is a topic in Physics. The change in length of an object due to an applied force is given by ΔL = (FL₀)/(AE), where F is the force applied, L₀ is the original length, A is the cross-sectional area, and E is the Young's Modulus of the material. These properties are different for the ACL and steel, and therefore the ratio of their elongations would also be different.

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