A child rides a toboggan down an icy hill all the way to the bottom. If the hill is frictionless and air resistance is negligible, what can be said about the mechanical energy (the sum of the kinetic and potential energies) at any point down the hill?
8. ( A child rides a toboggan down an icy hill all the way to the bottom. If the hill is frictionless and air resistance is negligible, what can be said about the mechanical energy (the sum of the kinetic and potential energies) at any point down the hill? Use the following information to answer parts a–b. The strings in a compound bow behave approximately like a spring. A bowstring is pulled back 0.60 m with a maximum force of 267 N (AKA a 60-pound draw weight) to shoot an 18 g arrow. Assume energy is conserved.
a) At what speed would the arrow be launched? (Note: W = FΔd uses the average force while F = -kx uses the instantaneous force.)
b) If the arrow were shot straight upward, how far would it rise? (This would be extremely dangerous, do not ever shoot an arrow upward.)
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