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## 3. A certain wire, 3 m long, stretches by 1.2 mm when under tension of 200 N. By how much does an equally thick wire 6 m long, made of

Question

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## Answers ( )

Answer:The extension of the second wire is

Explanation:From the question we are told that

The length of the wire is

The elongation of the wire is

The tension is

The length of the second wire is

Generally the Young’s modulus(Y) of this material is

Where

Where A is the area which is evaluated as

and

So

Since the wire are of the same material Young’s modulus(Y) is constant

So we have

Now the ration between the first and the second wire is

Since tension , radius are constant

We have

substituting values