A sphere with mass 7kg and a diameter of 14cm is rolled down an inclined ramp, starting at rest, which makes an angle of with the horizontal. The incline has a height of 14m and has just enough friction so that the sphere rolls without slipping.
Remember that the moment of inertia for a sphere is 0.4m . Assume that g=9.8m/ . What is the linear speed (in m/s) of the sphere at the bottom of the incline? Submit your answer to 2 decimal places.
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For Conservation of Energy
mgh=mgr+1/2mv²+1/2Iw²
I=2/5mr² and w=v/r
then mgh-mgr=7/10mv²
v²= g(h-r)10/7 v=14m/s