How does pendulum height relate to length when impacted by a bullet?

[BryMan92]

Homework Statement

Last year, I remember doing a ballistic pendulum problem, and this year I forgot how I did it. Essentially, what happens if you have a ballistic pendulum, of length 5m, and you shoot a bullet at it that cause it to go to a height of 14m? (What I mean is that the bullet causes the pendulum to rotate several times). So, after spinning around, how high will the pendulum go before momentarily stopping?

Homework Equations

MiVi=MfVf
KE=PE

The Attempt at a Solution

I figured you'd just subtract 10 (Since the max. height the pendulum can go is 10 m), and you'd get 4m? I'm drawing a blank.

Thanks for the help!

 

[graphene]

do u mean the bullet has an energy of mg*14 ?

 

[BryMan92]

The mass isn't important, I'm just curious what happens when height of the pendulum is confined by its length. So, if the length is 5, and the height (aka, when the kinetic energy = potential energy) is greater than 5. In this case, I made up 14.