Question

A uniform solid sphere of mass m1 and radius R1 is inside and
concentric with a spherical shell of mass m2 and radius R2. Find
the gravitational force exerted by spheres on a particle of mass m
located at (1).r < R1 (2).R1 < r < R2 (3).r > R2

Answer #1

Two concentric uniform thin spherical shells have masses M1 and
M2 and radii a and 2a. The inner spherical shell is shifted so that
its center is now on the x axis at x = 0.8a. What is the magnitude
of the gravitational force on a particle of point mass m located on
the x axis at the following? (Use any variable or symbol stated
above along with the following as necessary: (a) x = 3a

A solid sphere of uniform density has a mass of 6.1 × 104 kg and
a radius of 2.7 m. What is the magnitude of the gravitational force
due to the sphere on a particle of mass 2.0 kg located at a
distance of (a) 5.9 m and (b) 2.1 m from the center of the sphere?
(c) Write a general expression for the magnitude of the
gravitational force on the particle at a distance r ? 2.7 m from...

A solid sphere of nonconducting material has a uniform positive
charge density ρ (i.e. positive charge is spread evenly throughout
the volume of the sphere; ρ=Q/Volume). A spherical region in the
center of the solid sphere is hollowed out and a smaller hollow
sphere with a total positive charge Q (located on its surface) is
inserted. The radius of the small hollow sphere R1, the inner
radius of the solid sphere is R2, and the outer radius of the solid...

A solid, nonconducting sphere of radius R = 6.0cm is charged
uniformly with an electrical charge of q = 12µC. it is enclosed by
a thin conducting concentric spherical shell of inner radius R, the
net charge on the shell is zero.
a) find the magnitude of the electrical field
E1 inside the sphere (r < R) at the
distance r1 = 3.0 cm from the center.
b) find the magnitude of the electric field E2
outside the shell at the...

In the figure a solid sphere of radius a = 2.60 cm is
concentric with a spherical conducting shell of inner radius
b = 2.00a and outer radius c =
2.40a. The sphere has a net uniform charge
q1 = +5.02 fC; the shell has a net charge
q2 = –q1. What is the
magnitude of the electric field at radial distances
(a) r = 0 cm, (b)
r = a/2.00, (c) r =
a, (d) r = 1.50a,
(e)...

In the figure a solid sphere of radius a = 3.40 cm is concentric
with a spherical conducting shell of inner radius b = 2.00a and
outer radius c = 2.40a. The sphere has a net uniform charge q1 =
+6.62 fC; the shell has a net charge q2 = –q1. What is the
magnitude of the electric field at radial distances (a) r = 0 cm,
(b) r = a/2.00, (c) r = a, (d) r = 1.50a, (e)...

In the figure a solid sphere of radius a = 3.20 cm is concentric
with a spherical conducting shell of inner radius b = 2.00a and
outer radius c = 2.40a. The sphere has a net uniform charge q1 =
+3.75 fC; the shell has a net charge q2 = –q1. What is the
magnitude of the electric field at radial distances (a) r = 0 cm,
(b) r = a/2.00, (c) r = a, (d) r = 1.50a, (e)...

Find the gravitational field g(r)
anywhere inside of a uniform sphere of mass M and radius R.

A sphere with radius 1 m has temperature 11°C. It lies inside a
concentric sphere with radius 2 m and temperature 28°C. The
temperature T(r) (in °C) at a distance r
(in meters) from the common center of the spheres satisfies the
differential equation
d2T
dr2
+
2
r
dT
dr
= 0.
If we let S = dT/dr, then S
satisfies a first-order differential equation. Solve it to find an
expression for the temperature T(r) between the
spheres. (Use...

Answer with a drawing please!
A nonconducting spherical shell of inner radius R1 and
outer radius R2 contains a uniform volume charge density
ρ throughout the shell. Derive he magnitude of the
electric field at the
following radial distances r from the center of the
sphere:
a) r<R1
b) R1<r<R2
c) r>R2

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