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## A mine shaft has an ore elevator hung from a single braided cable of diameter 2.5 cm. Young’s modulus of the cable is 10×1010 N/m2. When the

Question

A mine shaft has an ore elevator hung from a single braided cable of diameter 2.5 cm. Young’s modulus of the cable is 10×1010 N/m2. When the cable is fully extended, the end of the cable is 700 m below the support.

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Physics
3 years
2021-09-03T08:59:25+00:00
2021-09-03T08:59:25+00:00 1 Answers
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## Answers ( )

Answer:The cable would stretch 14 cm when loaded with 1000 kg ore.Explanation:The question is incomplete.

The complete question would be.

A mine shaft has an ore elevator hung from a single braided cable of diameter 2.5 cm. Young’s modulus of elasticity of the cable is . When the cable is fully extended, the end of the cable is 700 m below the support.

How much does the fully extended cable stretch when 1000 kg of ore is loaded into the elevator?

Given the diameter of the cable is . The length of the cable is .

And the mass of the ore is . Also the Young’s modulus of elasticity of the cable is .

We will use Hook’s law

Whereis stress. E is Young’s modulus of elasticity. Andis strain.We can rewrite .

Whereis the applied force,is the area of the cross-section.is the change in length.is the initial length of the cable.Also, the applied force is due to mass of the ore. That would be

Given diameter of the cable .

Plugging these values

.

So, the cable would stretch 14 cm when loaded with 1000 kg ore.