Physics 205A Quiz 5, fall semester 2018
Cuesta College, San Luis Obispo, CA
A basketball (mass 0.43 kg, radius 0.11 m) and a tennis ball (mass 0.058 kg, radius 0.033 m)
both roll without slipping across a horizontal floor with the same constant speed of 0.50 m/s.
Both objects are hollow spheres (I = (2/3)·M·R2).
As they roll across the floor, the __________ has a faster angular speed.
(A) basketball.
(B) tennis ball.
(C) (There is a tie.)
(D) (Not enough information is given.)
Correct answer (highlight to unhide): (B)
The relationship between the translational speed v and angular speed ω for objects that roll without slipping is given by:
v = r·ω,
and since both objects have the same translational speed of 0.50 m/s, then the object with the smaller radius r (the tennis ball) will have the faster angular speed ω.
Sections 70854, 70855
Exam code: quiz05Ro74
(A) : 8 students
(B) : 28 students
(C) : 16 students
(D) : 0 students
Success level: 54%
Discrimination index (Aubrecht & Aubrecht, 1983): 0.88
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