Question

A uniform, solid sphere of radius 3.00 cm and mass 2.00 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 1.00 m long, and is tilted at an angle of 25.0 ∘ with respect to the horizontal. Assuming the sphere rolls without slipping down the incline, calculate the sphere's final translational speed v 2 at the bottom of the ramp.

Answer #1

A uniform, solid sphere of radius 5.75 cm 5.75 cm and mass 3.25
kg 3.25 kg starts with a purely translational speed of 1.25 m/s
1.25 m/s at the top of an inclined plane. The surface of the
incline is 2.25 m 2.25 m long, and is tilted at an angle of 29.0 ∘
29.0∘ with respect to the horizontal. Assuming the sphere rolls
without slipping down the incline, calculate the sphere's final
translational speed ? 2 v2 at the...

A solid sphere of uniform density starts from rest and rolls
without slipping a distance of d = 4.4 m down a
θ = 22°incline. The sphere has a
mass M = 4.3 kg and a radius R
= 0.28 m.
1)Of the total kinetic energy of the sphere, what fraction is
translational?
KE
tran/KEtotal =
2)What is the translational kinetic energy of the sphere when it
reaches the bottom of the incline?
KE tran =
3)What is the translational speed...

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...

1. A solid sphere of mass 50 kg rolls without slipping. If the
center-of-mass of the sphere has a translational speed of 4.0 m/s,
the total kinetic energy of the sphere is
2.
A solid sphere (I = 0.4MR2) of
radius 0.0600 m and mass 0.500 kg rolls without slipping down an
inclined plane of height 1.60 m . At the bottom of the plane, the
linear velocity of the center of mass of the sphere is
approximately
_______ m/s.

A solid sphere ( of mass 2.50 kg and radius 10.0 cm) starts
rolling without slipping on an inclined plane (angle of inclination
30 deg). Find the speed of its center of mass when it has traveled
down 2.00 m along with the inclination.
Groups of choices:
a. 3.13 m/s
b. 4.43 m/s
c. 3.74 m/s
d. 6.26 m/s

A uniform solid disk of mass 2.20 kg and diameter 50.0 cm starts
from rest and rolls without slipping down a 30.0 ? incline that is
5.25 m long. g = 9.81 m/s2 .
(a) Calculate the linear speed of the center of the disk when it
reaches the bottom of the incline.
(b) Determine the angular speed of the disk about its center at
the bottom of the incline.
(c) Through what angle (in radians) does this disk turn...

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 uniform disc of mass M=2.0 kg and radius R=0.45 m rolls
without slipping down an inclined plane of length L=40 m and slope
of 30°. The disk starts from rest at the top of the incline. Find
the angular velocity at the bottom of the incline.

A uniform solid disk of mass 3.60 kg and diameter 45.0 cm starts
from rest and rolls without slipping down a 39.0 ? incline that is
6.25 m long. g = 9.81 m/s2 .
(a) Calculate the linear speed of the center of the disk when it
reaches the bottom of the incline.
b) Determine the angular speed of the disk about its center at
the bottom of the incline.
c) Through what angle (in radians) does this disk turn as...

A solid sphere of weight 37.0 N rolls up an incline at an angle
of 23.0°. At the bottom of the incline the center of mass of the
sphere has a translational speed of 5.10 m/s. (a) What is the
kinetic energy of the sphere at the bottom of the incline? (b) How
far does the sphere travel up along the incline? (c) Does the
answer to (b) depend on the sphere's mass?

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