Author Question: A disk and a sphere are released simultaneously at the top of an inclined plane. They roll down ... (Read 58 times)

craiczarry · **on:** Jul 29, 2018

A disk and a sphere are released simultaneously at the top of an inclined plane. They roll down without slipping. Which will reach the bottom first?

A) The one of smallest diameter.
B) The one of greatest mass.
C) The disk.
D) The sphere.
E) They will reach the bottom at the same time.

Question 2

A marble that is rolling without slipping approaches a hill traveling at 8.50 m/s.

How high vertically will the marble go (a) if the hill is rough enough to prevent any slipping, and (b) if the hill is perfectly smooth? (c) Why does the marble rise to different heights when it had the same initial kinetic energy in both cases?

ms_sulzle · **Reply #1 on:** Jul 29, 2018

Answer to Question 1

D

Answer to Question 2

(a) 5.16 m, (b) 3.69 m, (c) With friction, all the kinetic energy is converted to gravitational potential energy. Without friction, only the translational kinetic energy is converted to potential energy.