Question

A tow truck is pulling a car out of a ditch by means of a copper cable that is 7.5 m long and has a radius of 0.48 cm. When the car just begins to move, the tension in the cable is 875 N. How much has the cable stretched? (Young Modulus of the copper is 1.28 x 1011 Pa)

Answer 1

Answer:

Length of cable, L=9.1m

r=5mm=5×10

−3

m,A=πr

2

Tension in cable =F=800N

Y=2×10

11

Nm

−2

ΔL=

AY

FL

=

3.14×10

−3

×10

−3

×5×5×2×10

11

800×9.10

ΔL=

314×5×5×2

800×910×10

−11+5

=

157

728

×10

−5

m=4.64×10

−5

m

ΔL=4.64×10

−5

m.

Explanation:

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