A tow truck is pulling a car out of a ditch by means of a steel cable (Y = 2.0 x 1011 N/m2) that is 8.93 m long and has a radius of 0.379 cm. When the car just begins to move, the tension in the cable is 801 N. How much has the cable stretched?
2006-12-08 15:30:47 · 2 answers · asked by ????????????????? 2 in Science & Mathematics ➔ Physics
Youngs modulus is equal to stress over strain
Y=Stress/Strain
Stress = Force / Area
Strain = (change in length) / length
You know the stress is the tension in the cable (801N) divided by the area of the cable.
You know the length is 8.93m
You know Y is 2x10^11
Calculate the stress
Substitute the second equation for strain into the first equation, then rearrange the equation so that (change in length) is isolated on one side and plug in the numbers and you have your answer.
2006-12-08 18:42:38 · answer #1 · answered by Ron E 5 · 0⤊ 0⤋
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2016-03-29 00:28:59 · answer #2 · answered by Anonymous · 0⤊ 0⤋