Wednesday

April 16, 2014

April 16, 2014

Posted by **Brianna** on Friday, May 11, 2012 at 7:54pm.

(a) Assuming no frictional loss, with what speed does the arrow leave the bow?

m/s

(b) If the arrow is shot straight up, how high does it rise?

m

- physics -
**Elena**, Saturday, May 12, 2012 at 4:57am1.

W =F•x =200•1.4 =280 J,

W =KE = m•v²/2,

v =sqrt(2•W/m) = sqrt(2•280/0.26) =46.4 m/s.

KE =PE = m•g•h

h = KE/m•g = 280/0.26•9.8 ≈110 m.

2.

Sometimes I’ve found the answers of this problem based on the following solution

PE =kx²/2 = KE =mv²/2.

This solution gives v =sqrt(k•x²/m) = sqrt(F•x²/x•m) = sqrt(F•x/m) = 32.8 m/s.

And the height from m•g•h =m•v²/2 is

h =v²/2•g = 54.95 m.

But I believe that this solution is incorrect because we have given the magnitude of the average (!) force

So the first solution is quite the thing.

**Related Questions**

Physics - An archer puts a 0.26-kg arrow to the bow-string. An average force of ...

physics - An archer puts a 0.26-kg arrow to the bow-string. An average force of ...

physics - An archer puts a 0.26 kg arrow to the bowstring. An average force of ...

physics - An arrow with a mass of 0.12 kg is pulled back in a bow. After being ...

Physics - An archer puts a 0.28 kg arrow to the bow string. An average force of ...

physics - An archer puts a 0.34 kg arrow to the bowstring. An average force of ...

Physics - An archer shoots an arrow that leaves the bow at an angle of 42 ...

Physics - An archer shoots an arrow that leaves the bow at an angle of 42 ...

Physics - An archer applies an average force of 200 N to draw the bow string ...

physics problem - An archer pulls the bowstring back for a distance of 0.400 m ...