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AP Physics 1
6.5 Rolling
6.1 Rotational Kinetic Energy
5.4 Rotational Inertia
3.4 Conservation of Energy
3.3 Potential Energy
3.2 Work
3.1 Translational Kinetic Energy
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A sphere starts from rest and rolls down an incline of height \( H = 1.0 \) \( \text{m} \) at an angle of \( 25^\circ \) with the horizontal, as shown above. The radius of the sphere \( R = 15 \) \( \text{cm} \), and its mass \( m = 1.0 \) \( \text{kg} \). The moment of inertia for a sphere is \( \frac{2}{5}mR^2 \). What is the speed of the sphere when it reaches the bottom of the plane?

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