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A truck is pulling a car out of a ditch by means fo a steel cable that is 9.1 m long and has a radius of 5 m m . When the car just beings to move, the tension in the cable is 800 N . If Young's modulus for steel is 2 × 10 11 N / m 2 then the strecth in the cable is (neraly)

A

5 × 10 - 3 m

B

0.5 × 10 - 3 m

C

3 × 10 - 3 m

D

0.3 × 10 - 3 m

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The correct Answer is:B


Y = F / A Δ L / L Δ L = F L Y ( π r 2 )
Δ L = 800 × 9.1 ( 2 × 10 11 ) × ( 3.14 × 25 × 10 - 6 )
= 4.64 × 10 - 4 m 5 × 10 - 4 m = 0.5 × 10 - 3 m

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Updated on:21/07/2023

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