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A truck is pulling a car out of a ditch ...

A truck is pulling a car out of a ditch by means of a steel cable that is 9.1 m long and has a radius of 5 mm, when the car just begins to move the tension in the cable is 800 N. How much has the cable stretched ? (Young's modulus for steel is `2 xx 10 ^(11) Nm ^(-2))`

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`Y= (Fl )/( A Delta l )`
`therefore Delta l = (Fl)/(AYT) = (Fl)/( pi r ^(2) Y)`
`therefore Delta l = (800 xx 9.1 )/( 3.14 xx (5 xx 10 ^(-3)) ^(2) xx 2 xx 10 ^(11)) = 46.369 xx 10 ^(-5) `
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