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Answer :
Final answer:
When the archery bow is drawn, a potential energy of approximately 25.7 Joules is stored in the bow. This energy is then converted to kinetic energy when the arrow is released.
Explanation:
The potential energy stored in the archery bow when it is drawn is calculated using the formula for the potential energy of a spring, which is given by PES = 0.5 * k * x², where 'k' is the spring's force constant, and 'x' is the displacement from its undeformed position. In this case, the spring constant 'k' is 122 N/m, and the displacement 'x', or how far the bow is drawn, is 0.65m. Substituting these values into the formula, we get PES = 0.5 * 122 N/m * (0.65 m)², which comes out to approximately 25.7 Joules.
This indicates that when the archery bow is drawn, it stores approximately 25.7 Joules of potential energy, which will be converted into kinetic energy when the bow is released, propelling the arrow forward.
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