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A uniform, solid sphere of radius 4.00 cm and mass M =2.00 kg rolls without slipping across a horizontal surface with translational (center of mass)
A uniform, solid sphere of radius 4.00 cm and mass M =2.00 kg rolls without slipping across a horizontal surface with translational (center of mass) spead 2.00 m/s. It then rolls down an inclined plane that is x=1.00 m long and tilted at an angle of @ =20.0 with the horizontal. Assume the sphere rolls without slipping down the ramp. 1) This question is optional, but it may help you with your calculation on the following (required) question. 'We know that the solid sphere is rolling without slipping, which means its angular speed is related to its center-of-mass velocity. This, along with the moment of inertia of the sphere, makes it possible to calculate the total kinetic energy Koot = Kiranatational + Krotattonal in terms of only the variables M and v, that is, Kiptar = Cmir?, where Cis a constant. If we want to ussa this form to write the total kinetic enargy of the sphere as it rolls without slipping, what is the correct value for C7 (give your answer to two significant figures) ) 2) What is the translational speed of the sphere when it reaches the bottom of the ramp? [Express your answer to three significant figures.)
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