Two solid steel balls,one small and one large,are on an incline plane.The large ball has a diameter of 3.0 cm and the small ball has a diameter of 1.0 cm.Starting from rest,the two balls roll without slipping down the incline plane until their centers of mass are 1 m below their starting positions.If it takes the large ball 2.0 seconds to roll down the inclined plane,how long will it take the small ball to roll down the inclined plane?
A)0.67 s
B)1.2 s
C)2.0 s
D)3.5 s
E)6.0 s

Question

Quizplus · Accepted Answer

For rolling objects without slipping, the time to roll down an incline does not depend on their size or mass but on the incline's angle and the acceleration due to gravity. Since both balls start from rest and roll without slipping, they will take the same amount of time to reach the bottom, regardless of their size differences.

Two Solid Steel Balls,one Small and One Large,are on an Incline