Question

Q17: A cable is cut into two equal parts. How will it affect the extension of the wire under same stretching force?​

Answer 1

Explanation:

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Answer 2

When a cable is cut into two parts, the effect of the extension of the wire under the same stretching force is as follows -

ΔL = FL/Aγ

Where ΔL is the change in length, F is the stretching force, L is the natural length of cable, A is the area of cross-section of cable, γ is the Young's Modulus.

Now, ΔL = 2,

F/Aγ = Constant

Length of new cable =  L/2

ΔL new = FLnew / Aγ

            = 1/2(FL/Aγ)

            = 1/2ΔL

            = 1/2×2

            = 1

           = Constant

Therefore, the extension of the wire under the same stretching force will be the same.

• Young’s modulus is also known as modulus of elasticity and is defined as the mechanical property of a material to withstand the compression or the elongation with respect to its length.