- #1
Dinkleberg
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Homework Statement
An 7.80-cm-diameter, 400 g solid sphere is released from rest at the top of a 1.70-m-long, 20.0 degree incline. It rolls, without slipping, to the bottom
Homework Equations
I=2/5 Mr^2
K = 1/2 m*v^2
Kroll = 1/2 Iw2
mgh=K+Kroll
The Attempt at a Solution
Using the above energy equation and the fact that the ball is rolling without slipping I replaced v with 'rw' and then solved for w which gets me:
w2 = (10gh)/(7r2)
Where h is the height of the ramp. But I domt know what to do next. I tried finding h with trig and I got h=0.69
but when I subbed those values in it was incorrect apparently. So the question is a little ambiguous when it says 'long' so I thought what if it means that is the length of the ramp itself which gets h=0.58 which is still wrong.
I am taking the units to be rad/s and they actually matter for the answer if that is the problem.