When the load on a wire is slowly increased from 3 to 5 kg wt, the elongation increases from 0.61 to 1.02 mm. The work done during the extension of wire is

Question

When the load on a wire is slowly increased from 3 to 5 kg wt, the elongation increases from 0.61 to 1.02 mm. The work done during the extension of wire is (A) 0.16 J (B) 0.016 J (C) 1.6 J (D) 16 J

Tardigrade Admin · Accepted Answer

Work done =(1/2) × stretching force × extension. Therefore, net work done in increasing the length from 0.164 mm to 1.02 mm is W2-W1=(1/2) × 5 × 9.8 × 1.02 × 10-3-(1/2)× 3 × 9.8 × 0.61 × 10-3 =0.016 J

Q. When the load on a wire is slowly increased from 3 to 5kgwt, the elongation increases from 0.61 to 1.02mm. The work done during the extension of wire is

0.16 J

0.016 J

1.6 J

16 J

Work done =21​× stretching force × extension. Therefore, net work done in increasing the length from 0.164mm to 1.02mm is W2​−W1​=21​×5×9.8×1.02×10−3−21​×3×9.8×0.61×10−3 =0.016J

Q. When the load on a wire is slowly increased from $3$ to $5 k g wt$ , the elongation increases from $0.61$ to $1.02 mm$ . The work done during the extension of wire is