How Far Did the Cannonball Roll?

[duckywucky]

Homework Statement

In 1453, during the siege of Constantinople, the Turks used a cannon capable of launching a stone cannonball with a mass of 5.40 x 10^2 kg. Suppose a soldier dropped a cannonball with this mass while trying to load it into the cannon. The cannonball rolled down a hill that made an angle of 30.0° with the horizontal. If 5.30 x 10^4 J of work was done by gravity on the cannonball as it rolled down a hill, how far did it roll?

Homework Equations

The Attempt at a Solution

I know that you're looking for the distance traveled, obviously, but how do i get to that?!
KE = 1/2 mv^2?

 

[berkeman]

Homework Statement

In 1453, during the siege of Constantinople, the Turks used a cannon capable of launching a stone cannonball with a mass of 5.40 x 10^2 kg. Suppose a soldier dropped a cannonball with this mass while trying to load it into the cannon. The cannonball rolled down a hill that made an angle of 30.0° with the horizontal. If 5.30 x 10^4 J of work was done by gravity on the cannonball as it rolled down a hill, how far did it roll?

Homework Equations

The Attempt at a Solution

I know that you're looking for the distance traveled, obviously, but how do i get to that?!
KE = 1/2 mv^2?

The cannonball has two forms of KE. Linear KE (your formula that you listed), and rotational KE , which is influenced by the moment of inertia of the ball...

 

[duckywucky]

So what formula would i use for the inertia of the ball?

 

[berkeman]

So what formula would i use for the inertia of the ball?

You tell us! It's your class.