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Q.

A steel cable with a radius of 1.5 cm supports a chair lift at a ski area. If the maximum stress is not to exceed 108 N/m2, what is the maximum load the cable can support?

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a

7 X105 N

b

7 X106 N

c

7 X104 N

d

9 X105 N

answer is C.

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Detailed Solution

Given, radius of steel cable (r) =1.5 cm = 1.5 X 10-2 cmMaximum stress = 108 N/m2Area of cross-section of steel cable (A) = πr2 =3.14×1.5×10−22m2=3.14×2.25×10−4m2 Maximum stress = Maximum force  Area of cross-section  Maximum force = Maximum stress × Area of cross-section =108×3.14×2.25×10−4N=7.065×104N=7.1×104N
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