How much work (in J) does the archer do on the string in drawing the bow?
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At an archery event, a woman draws the string of her bow back 0.398 m with a force that increases steadily from 0 to 241 N. (a) What is the equivalent spring constant (in N/m) of the bow? (b) How much work (in J) does the archer do on the string in drawing the bow?
Ivan K.
At an archery event, a woman draws the string of her bow back 0.404 m with a force that increases steadily from 0 to 211 N. (a) What is the equivalent spring constant (in N/m) of the bow? (b) How much work (in J) does the archer do on the string in drawing the bow?
Umar Sohail Q.
An archer's bow can be approximated as being an ideal spring of spring constant k. Consider the system of the bow + arrow. Extending the bowstring with the arrow leads to a Hooke's law type of restoring force acting on the arrow which has a mass m. The archer does work to pull the bowstring back by an amount Δx. What is the spring potential energy of the bow + arrow when the bowstring is pulled back by an amount Δx? +mgΔx +1/2kΔx² +kΔx -1/2kΔx² What is the speed of the arrow as it leaves the bow? (Neglect all frictional forces so that only conservative forces are acting.) √(k/m) × Δx √(m/k) × Δx 1/2kΔx k/m Δx
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