AP physics

Solve the equations
1/2mv2 + 1/2Iω2 = mgh and v = rω
for the speed v using substitution, given that
I = mr2
and
h = 4.20 m.
(Note that mass m and radius r will both cancel, so their numerical values aren't required.)
m/s

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  1. This is Algebra. Surely you are not having difficulty with this in AP Physics.

    1/2 mv^2+1/2 mr^2*V^2/r^2
    1/2 m(v^2+v^2)=mv^2

    v= sqrt(gh)

    Now note something about this. If the object had just fell(no rolling)
    v would have been sqrt(2gh)

    What heppened, is that energy split equally into rolling, and translational motion.

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