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## Homework Statement

Oddjob rolls a canister of nerve gas twoards Bond, who is at the bottom of a curved trench. The canister has a mass of 16 kg, a radius of r = 0.8 m, and a rotational inertia of 10 kg*m2. It starts with no velocity. If the trench has a radius of R = 3.5 m, how fast is the canister moving when it reaches Bond?

## Homework Equations

Conservation of Energy: E

_{i}= E

_{f}

## The Attempt at a Solution

PE

_{i}= KE

_{f}+ KE

_{rotation}

mgR = (1/2)m*v

_{f}

^{2}+ (1/2)I*ω

^{2}

mgR = (1/2)m*v

_{f}

^{2}+ (1/2)I*(v

_{f}/R)

^{2}

mgR = v

_{f}

^{2}(m/2 +I/(2R

^{2}))

v

_{f}

^{2}= (2*m*g*R

^{3}) / (m*R

^{2}+ I)

v

_{f}= sqrt((2*m*g*R

^{3}) / (m*R

^{2}+ I))

I plugged in all the numbers but the computer says this is incorrect. Where did I go wrong?

Edit: I posted the wrong question initally. Oops. This is the correct one with the correct image.

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