Posted by **help** on Monday, December 6, 2010 at 9:42pm.

an arrow of mass .04 kg is pulled back 10 cm in the bow, having a force of 25.2 N. It is released 1.5m from the ground...how far will the arrow fly?

(all of the energy from pulling it back converts into the flying arrow)

- physics -
**Damon**, Monday, December 6, 2010 at 9:57pm
This problem is missing information.

If the pull force is constant:

pulled 0.10 meters * 25.2 = 2.52 Joules

.5 m u^2 = 2.52 Joules

solve for u

however if the bow behaves like a spring

then average force = 1/2 * max force

and we get 1.26 Joules

You do not say which

If you fire horizontally

solve vertical problem to find time in air

(1/2) g t^2 = 1.5 meters

solve for t

then

horizontal distance = u t

If you fire up at 45 degrees (max range) it is a little more complicated but again solve the vertical problem for time, then do the horizontal problem for distance.

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