WORKSHEET 4: ROTATIONAL KE AND ROLLING OBJECTS
1.
A hollow ring of mass m and radius R rolls without slipping along a table at speed v. What is its
kinetic energy?
(a)
mv2 /4
(b) mv2 /2
(c) mv2
(d) 3mv2 /2
(e) 2mv2
2.
What is the kinetic energy of a solid cylinder of mass m which rolls without slipping on a level
surface with velocity v?
(a)
0
(b) mv2/4
(c) m v2/2
(d) 3 m v2/4
(e) m v2
3. A solid sphere of mass M and radius R rolls without slipping along a table at speed v. What is its
kinetic energy?
(a) M v2 /2
(b) M v2
(c) 7M v2 /10
(d) M v2 /5
(e) 3M v2 /2
4. Three objects with the same mass - a solid sphere, a solid disk and a hollow cylinder - roll without
slipping up an incline plane. Each object has the same initial speed at the bottom of the plane. What is
the maximum height that each object can attain?
(a) hsphere < hdisk < hcylinder
(b) hsphere < hdisk = hcylinder
(c) hsphere > hdisk > hcylinder
(d) hsphere = hdisk = hcylinder
5. A rubber band ball of mass M and radius R (moment of inertia (2/5)MR2 ) rolls without slipping up
an incline with an initial speed v. The ball reaches a maximum vertical height of:
𝒗𝟐
(A) 𝟓𝒈 (B)
𝟐𝒗𝟐
𝟓𝒈
𝒗𝟐
(C) 𝟐𝒈 (D)
𝟕𝒗𝟐
𝟏𝟎𝒈
(E)
𝒗𝟐
𝒈