The length of a light string is 1.4 m when the tension on it is 5 N. If the tension increases to 7 N , the length of the string is 1.56 m. The original length of the string is _____ m.

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​ T = K ( ℓ − ℓ 0 ​ ) ⇒ 5 = K ( 1.4 − ℓ 0 ​ ) ⇒ 7 = K ( 1.56 − ℓ 0 ​ ) ⇒ 1.4 − ℓ 0 ​ 5 ​ = 1.56 − ℓ 0 ​ 7 ​ ∴ ℓ 0 ​ = 1 m ​

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