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# A large sphere rolls without slipping across a horizontal surface. The sphere has a constant translational speed of 10 meters per second, a mass m of...

A large sphere rolls without slipping across a horizontal surface. The sphere has a constant
translational speed of 10 meters per second, a mass m of 25 kg, and a radius r of 0.2 meters. The moment
of inertia of the sphere about its center of mass is I = 2/5 mr2. The sphere approaches a 25° incline of
height 3 meters as shown above and rolls up the incline without slipping.
neglecting air resistance, calculate the horizontal distance from the point where the sphere leaves the incline to the point where the sphere strikes the level surface

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