Question

A solid sphere is released from the top of a ramp that is at a height

*h*_{1} = 2.25 m.

It rolls down the ramp without slipping. The bottom of the ramp is at a height of

*h*_{2} = 1.7 m

above the floor. The edge of the ramp is a short horizontal section from which the ball leaves to land on the floor. The diameter of the ball is 0.19 m.

a) Through what horizontal distance *d*, in meters, does
the ball travel before landing?

(b) How many revolutions does the ball make during its fall?

rev?

Answer #1

A solid sphere 0.16 m in diameter is released from rest, rolls
down a ramp, and drops through a vertical height of h1 = 0.57 m.
The ball leaves the bottom of the ramp, which is h2 = 1.08 m above
the floor, moving horizontally.
(a) What distanced does the ball move in the horizontal
direction before landing? m
(b) How many revolutions do it completely during its fall (i.e.,
after it rolls off and before it lands)? rev

3) A Solid Ball, of mass M and radius
R rolls from rest down a table-top ramp of height
H and then rolls (horizontally) across a table until it
gets to the edge and rolls off the edge and drops a distance
h to the floor.
(a) At what horizontal distance D (from the table edge)
does the ball hit the floor?
(b) Rank the following objects from least D to greatest
D :
Solid Ball, Hollow Sphere, Solid Cylinder,...

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...

A solid ball is released from rest at the top of a 1.60 m -long
ramp inclined at 18 degrees. At the bottom, the ball continues
along a flat section that's also 1.60 m long.
Whats the overall travel time?

A solid, homogeneous sphere with of mass of M = 2.25 kg and a
radius of R = 11.3 cm is resting at the top of an incline as shown
in the figure. The height of the incline is h = 1.65 m, and the
angle of the incline is θ = 17.3°. The sphere is rolled over the
edge very slowly. Then it rolls down to the bottom of the incline
without slipping. What is the final speed of...

A solid sphere of a radius 0.2 m is released from rest from a
height of 2.0 m and rolls down the incline as shown. If the initial
speed Vi= 5 m/s, calculate the speed (Vf) of the sphere when it
reaches the horizontal surface. (moment of inertia of a sphere is
(2/5) Mr^)

Question 4 Unsaved A solid sphere starts from rest at a height
1.7 m above the base of an inclined plane and rolls down under the
influence of gravity. What is the linear speed of the sphere's
center of mass just as the sphere leaves the incline and rolls onto
the horizontal surface? (Neglect friction.)

A sphere is released from the top of a rough inclined plane. The
friction is sufficient so that the sphere rolls without slipping.
Mass of the sphere is M and radius is R. The height of the center
of the sphere from ground is h. Find the speed of the center of the
sphere as it reaches the bottom of the sphere.

An 6.90-cm-diameter, 360 g solid sphere is released from rest at
the top of a 1.80-m-long, 20.0 ∘ incline. It rolls, without
slipping, to the bottom. What is the sphere's angular velocity at
the bottom of the incline? What fraction of its kinetic energy is
rotational?

A uniform, solid sphere of radius 4.50 cm and mass 2.25 kg
starts with a purely translational speed of 1.25 m/s at the top of
an inclined plane. The surface of the incline is 2.75 m long, and
is tilted at an angle of 22.0∘ with respect to the horizontal.
Assuming the sphere rolls without slipping down the incline,
calculate the sphere's final translational speed ?2 at the bottom
of the ramp.
?2=__________ m/s

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 37 seconds ago

asked 5 minutes ago

asked 16 minutes ago

asked 18 minutes ago

asked 39 minutes ago

asked 59 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago