A rubber cord catapull has a cross-sectional area \( 1 \mathrm{~mm}^{2} \) and total unstretched...

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A rubber cord catapull has a cross-sectional area \( 1 \mathrm{~mm}^{2} \) and total unstretched length \( 10.0 \mathrm{~cm} \). It is stretched to \( 12.0 \mathrm{~cm} \) and then released to project a missile of mass \( 5.0 \mathrm{~g} \). Taking Young's modulus for rubber as \( 5.0 \times 10^{8} \mathrm{~N} \mathrm{~m}^{-2} \), find the tension in the cord. Also find the velocity of projection of the projectile.
[Ans. \( 100 \mathrm{~N} ; 20 \mathrm{~ms}^{-1} \) ]
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