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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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