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An aluminum alloy with KIC = 40 MPa·m has an initial crack size.
a) True
b) False

1 Answer

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Final answer:

The statement about kinetic and potential energy of a thrown rock is false. Potential energy increases with height, and kinetic energy increases as the rock falls. Wave-particle duality is true for quantum-scale objects, not macroscopic objects.

Step-by-step explanation:

The statement that an increase in the height of a thrown rock would increase its kinetic energy is false. When a rock is thrown into the air, its potential energy increases as it gains height due to the work done against gravity. Conversely, its kinetic energy decreases as it moves upwards and slows down due to gravity. As the rock begins to fall back down, the potential energy decreases while the kinetic energy increases as it gains velocity toward the ground.

Regarding fracture and breaking stress, it's important to note that materials have different breaking stresses. The breaking stress, or ultimate stress, is the value at which a material will fracture. For instance, aluminum and steel rods with a 1-in² cross-sectional area have significantly different breaking loads, with aluminum having a lower breaking stress compared to steel.

In terms of wave-particle duality, this concept is true but only for quantum-scale objects. On the macroscopic scale, classical physics, rather than quantum mechanics, generally describes the behavior of objects. Therefore, the wave-particle duality does not apply to macroscopic objects.

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