Question

Estimate the solid angle projected at the center of a sphere by a patch of 1.1 cm diameter on the sphere's surface if its radius is 2.5 m. Express your answer using 3 sig.

Answer #1

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?

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.

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

A uniform, solid sphere of radius 3.50 cm and mass 1.25 kg
starts with a purely translational speed of 2.50 m/s at the top of
an inclined plane. The surface of the incline is 1.50 m long, and
is tilted at an angle of 28.0∘ 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

A uniform solid sphere of radius R = 3.6 km produces a
gravitational acceleration of ag on its surface. At what distance
from the sphere's center are there points (a) inside and (b)
outside the sphere where the gravitational acceleration is
ag/8?

A ) A 2-?C point charge is embedded in the center of a solid
Pyrex sphere of radius R = 15 cm.
(1) Calculate the electric field strength E just beneath the
surface of the sphere. (in N/C )
(2) Assuming that there are no free charges, calculate the
strength of the electric field just outside the surface of the
sphere. ( in N/C )
(3) What is the induced surface charge density ?ind on the
surface of the Pryex?...

A solid insulating sphere has total charge Q and radius R. The
sphere's charge is distributed uniformly throughout its volume. Let
r be the radial distance measured from the center of the
sphere.
If E = 440 N/C at r=R/2, what is E at r=2R?
Express your answer with the appropriate units.

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 10 cm in radius carries a uniform 40-μC charge
distribution throughout its volume. It is surrounded by a
concentric shell 20 cm in radius, also uniformly charged with 40
μC.
a) Find the electric field 5.0 cm from the center. Express your
answer using two significant figures
b) Find the electric field 15 cm from the center. Express your
answer using two significant figures.
c) Find the electric field 30 cm from the center. Express your
answer...

A 2-?C point charge is embedded in the center of a solid Pyrex
sphere of radius R = 15 cm.
(a) Calculate the electric field strength E just beneath the
surface of the sphere. Incorrect: Your answer is incorrect. N/C
(b) Assuming that there are no free charges, calculate the
strength of the electric field just outside the surface of the
sphere. Incorrect: Your answer is incorrect. N/C
(c) What is the induced surface charge density ?ind on the
surface...

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