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## Homework Statement

Starting from rest, a basketball rolls from the top of a hill to the bottom, reaching a translational speed of 6.12 m/s. Ignore frictional losses.

## Homework Equations

(a) What is the height of the hill?

(b) Released from rest at the same height, a can of frozen juice rolls to the bottom of the same hill. What is the translational speed of the frozen juice can when it reaches the bottom?

## The Attempt at a Solution

Initial Total mechanical energy = Final Total mechanical energy

1/2mv^2 + 1/2IW^2 + mgh = 1/2mv^2 + 1/2IW^2 + mgh

Initial KE = 0 and final PE = 0

mgh = 1/2mv^2 + 1/2IW^2

gh = 1/2v^2 + 1/2IW^2

I am stuck with 2 unknown variables W and h.