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AP Physics 1
6.5 Rolling
6.2 Torque and Work
6.1 Rotational Kinetic Energy
AdvancedMCQMathematicalConceptual21.8k
A sphere rolls down a rough incline and ascends a frictionless incline.
A sphere rolls down a rough incline and ascends a frictionless incline.
A bowling ball, modeled as a uniform solid sphere of mass \(M\) and radius \(R\), is released from rest at the top of a rough incline of height \(H\). The ball rolls without slipping down the incline and onto a horizontal surface. The ball then smoothly transitions onto a second, frictionless incline of the same angle.

OptionAngular Speed During AscentRotational Kinetic Energy at PeakMaximum Height Reached
(A)DecreasesEqual to zero\(h_{\text{max}} = H\)
(B)Remains constantGreater than zero\(h_{\text{max}} < H\)
(C)DecreasesEqual to zero\(h_{\text{max}} < H\)
(D)Remains constantGreater than zero\(h_{\text{max}} = H\)

Which row in the table correctly describes the ball's angular speed during its ascent on the second incline, its rotational kinetic energy at its maximum height on the second incline, and the maximum height \(h_{\text{max}}\) it reaches compared to \(H\)?

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