Question

A ring, cylinder, solid sphere, and hollow sphere are all released from rest from the same height on an inclined surface, at the same time. All four objects have uniform density, have the same mass, and roll without slipping.

1. Which one reaches the bottom first? a) ring b) cylinder c) solid sphere d) hollow sphere e) they all reach the bottom at the same time

2. Which one has the largest total kinetic energy at the bottom? a) ring b) cylinder c) solid sphere d) hollow sphere e) they all reach the bottom with the same total kinetic energy

Please provide detail explanation for the solution.

Answer #1

A hollow cylinder, a solid cylinder, and a billiard ball are all
released at the top of a ramp and roll to the bottom without
slipping.
PART A Rank them according to the fraction of the kinetic energy
that is rotational as they roll. billiard ball/ solid cylinder/
hollow cylinder
PART B What are the ratios of speeds of a hollow and a solid
cylinders when they reach the bottom of the ramp?
PART C What are the ratios of...

A spherical shell, a solid sphere and a solid cylinder are
released from rest at the top of and inclined plane, in what order
will they reach the bottom. All objects have the same mass and
radius.

A solid cylinder of radius 25cm is released from rest at the top
of a smooth 4degree incline of height h=5m. At the same time and
from the same position, a hollow sphere of radius 25 cm is also
released from res. Both objects roll without slipping and both
objects have a mass of 75g.
How long did it take for the faster of the two objects to reach
the bottom of the hill?

A hollow sphere and a solid sphere each have the same mass and
radius. They are released simultaneously from rest and allowed to
roll without slipping down a ramp. Which one reaches the bottom
first? Group of answer choices
the solid sphere
You can't determine which is first unless you know the mass.
You can't determine which is first unless you know the
radius.
They reach the bottom at the same time.
the hollow sphere

A hollow sphere and a solid sphere each have the same mass and
radius. They are released simultaneously from rest and allowed to
roll without slipping down a ramp. Which one reaches the bottom
first?
Group of answer choices
You can't determine which is first unless you know the
radius..
You can't determine which is first unless you know the mass.
They reach the bottom at the same time.
the hollow sphere
the solid sphere

Three small objects, a cube, a solid sphere, and a solid
cylinder, are released simultaneously from the top of three
inclines planes with inclination angles of 15°, 30°, and 60°
respectively. The horizontal distances between the top and bottom
of the inclines are the same. Assume that the cube slides down
without friction while the sphere and cylinder roll down without
slipping. Rank the order in which the objects reach the bottom of
the inclined planes from first to last?...

A hollow cylinder, a solid cylinder, and a billiard ball are all
released at the top of a ramp and roll to the bottom without
slipping
Part A
Rank them according to the fraction of the kinetic energy that
is rotational as they roll.
Rank from greatest to least. To rank items as equivalent,
overlap them.
Part B
What are the ratios of speeds of a hollow and a solid cylinders
when they reach the bottom of the ramp?
Express...

If a solid sphere (radius 11.0 cm) and a solid cylinder (radius
10.0 cm) of equal mass are released simultaneously and roll without
slipping down an inclined plane.
A)The sphere reaches the bottom first.
B) The cylinder reaches the bottom first.
C) They reach the bottom together.

A
2.9 kg solid sphere (radius = 0.15 m) is released from rest at the
top of a ramp and allowed to roll without slipping. The ramp is
0.85 m high and 5.2 m long.
1. When the sphere reaches the bottom of the ramp, what are
its total kinetic energy,
2. When the sphere reaches the bottom of the ramp, what is its
rotational kinetic energy?
3. When the sphere reaches the bottom of the ramp, what is its...

Four objects with the same mass and radius roll without slipping
down an incline. If they all start at the same location, which
object will take the longest time to reach the bottom of the
incline? Mass Moment of Inertia Table Choices A. A hollow sphere B.
A solid sphere C. A thin-wall hollow cylinder D. They all take the
same time E. A solid cylinder

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