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A body of mass 11kg is suspended from a ceiling fan by an al...

A body of mass 11kg is suspended from a ceiling fan by an aluminum wire of length 2m and diameter 2mm. Calculate the elastic energy stored in the wire [Young's modulus of aluminum is 7.0 x 1010Nm-2, g = 10ms-2, π = 3.142]`

A.

1.1 x 10-1J

B.

5.5 x 10-2J

C.

1.1 x 10-4J

D.

5.5 x 10-8J

Correct answer is B

e = 4FIYπd2=4×11×10×27×103×3.14(2×102)2

= 0.001m

E = 12Fe=12×110×0.001

= 5.5 x 10-2J