A boy's catapult is made of rubber cord which is 42 cm long

PHYSICS · Single correct · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

A boy's catapult is made of rubber cord which is 42 cm long, with 6 mm diameter of cross-section and of negligible mass. The boy keeps a stone weighing 0.02 kg on it and stretches the cord by 20 cm by applying a constant force. When released, the stone flies off with a velocity of 20 ms−120 \text{ ms}^{-1}. Neglect the change in the area of cross-section of the cord while stretched. The Young's modulus of rubber is closest to: (1) 106 N/m210^6 \text{ N/m}^2 (2) 104 N/m210^4 \text{ N/m}^2 (3) 108 N/m210^8 \text{ N/m}^2 (4) 103 N/m210^3 \text{ N/m}^2

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