Solve question 5on elasticity
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2 partsStep-by-step solution
6 stepsHere is the solution to Question 5 on elasticity:
Part 5
A light elastic string has natural length 0.8 m and modulus of elasticity 100 N.
Part a
Find the tension in the string when its length is 1.2 m.
Identify the given values.
Natural length, m
Modulus of elasticity, N
Extended length, mCalculate the extension ().
The extension is the difference between the extended length and the natural length.
Apply Hooke's Law to find the tension ().
Hooke's Law states that .
The tension in the string is .
Part b
Find the length of the string when the tension is 150 N.
Identify the given values.
Natural length, m
Modulus of elasticity, N
Tension, NApply Hooke's Law to find the extension ().
Rearrange Hooke's Law () to solve for :
Calculate the extended length ().
The extended length is the natural length plus the extension.
The length of the string when the tension is 150 N is .
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