AP PRACTICE PROBLEMS

1. THE RING AND DISK SHOWN ABOVE HAVE IDENTICAL MASSES, RADII, AND VELOCITIES. IF THE RING AND DISK ROLL WITHOUT SLIPPING UP AN INCLINED PLANE, HOW WILL THE DISTANCES THAT THE RING AND DISK MOVE UP THE PLANE BEFORE COMING TO REST COMPLETELY?

A) RING WILL MOVE FARTHER THAN THE DISK

B) DISK WILL MOVE FARTHER THAN THE RING

C) RING AND DISK WILL MOVE EQUAL DISTANCES

D) RLATAIVE DISTANCES DEPEND ON THE ANGLE OF ELEVATION OF THE PLANE

E) RELATIVE DISTANCES DEPEND ON THE LENGTH OF THE PLANE

2. A BLOCK ATTACHED TO A SPING OF NEGLIBILBE MASS UNDERGOES SIMPLE HARMONIC MOTION ON A FRICTIONLESS SURFACE. THE POTENTIAL ENERGY OF THE SYSTEM IS ZERO AT THE EQUILIBRIUM POINT AND HAS A MAXIMUM VALUE OF 50 J. WHEN THE DISPLACEMENT OF THE BLOCK IS HALF THE MAXIMUM VALUE, ITS INSTANTANEOUS KINETIC ENERGY IS

A) 0 J B) 12.5 J C) 25 J D) 37.5 J E) 50 J