A woman is running in an inflatable ball - a spherical shell of set inner radius...
A woman is running in an inflatable ball - a spherical shell of set inner radius but a variable outer radius. The woman can apply a force of 70N to torque the shell, applied from the inside radius of 1 meter.
a.) what is the minimum outer radius that would let someone outside, capable of applying 50N of force, stop the ball from rotationally accelerating?
b.) If the moment of inertia is 5 kgxm2, what should the outer radius be to make the shell rotationally accelerate at 3 radians per second squared in the direction of the woman’s torque? This is with the person from part A still applying force.
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A woman is running in an inflatable ball - a spherical shell of
set inner radius...
A nonconducting spherical shell, with an inner radius of 3.2 cm and an outer radius of...
A nonconducting spherical shell, with an inner radius of 3.2 cm and an outer radius of 8.0 cm, has charge spread nonuniformly through its volume between its inner and outer surfaces. The volume charge density ρ is the charge per unit volume, with the unit coulomb per cubic meter. For this shell ρ = b/r where r is the distance in meters from the center of the shell and b = 2.5 μC/m2. What is the net charge in the...
21 A nonconducting spherical shell, with an inner radius of 40 nd an outer radius of...
21 A nonconducting spherical shell, with an inner radius of 40 nd an outer radius of 6.0 cm, has charge spread nonuniformly through its volume between its inner and outer surfaces. The vo ume charge density ρ is the charge per unit volume, with the unit coulomb per cubic meter. For this shell p bir,where r is the distance in meters from the center of the shell and b-3.0 uC/m2. What is the net charge in the shell?
A conducting spherical shell of inner radius a= 50.0 cm and outer radius b= 60.0 cm...
A conducting spherical shell of inner radius a= 50.0 cm and
outer radius b= 60.0 cm has a net charge Q1= -7.00 μC. A second
larger conducting shell of inner radius c= 70.0 cm and outer radius
d= 80.0 cm has a net charge of Q2= +3.00 μC, and it is concentric
with the first shell as shown in the figure to the left. What is
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A small conducting spherical shell with inner radius a and outer radius b is concentric with a larger conducting spherical shell with inner radius c and outer radius d.
A small conducting spherical shell with inner radius a and outer radius b is concentric with a larger conducting spherical shell with inner radius c and outer radius d. The inner shell has total charge +2q, and the outer shell has charge +4q. (a) Calculate the magnitude of the electric field in terms of q and the distance r from the common center of the two shells for r < a, b < r < c, and r > d. Note...
A point charge -Q is at the center of a spherical conducting shell of inner radius R1 and outer radius R2 as shown in th...
A point charge -Q is at the center of a spherical conducting shell of inner radius R1 and outer radius R2 as shown in the figure below. (In the figure there is a around spherical where 2 arrows shoots out from and arrow R1 is distance to the innter radius and R2 is to the outer radius) What is the charge on the inner surface of the shell?
In Fig. 23-52, a nonconducting spherical shell of inner radius a = 2.06 cm and outer...
In Fig. 23-52, a nonconducting spherical shell of inner radius a
= 2.06 cm and outer radius b = 2.47 cm has (within its thickness) a
positive volume charge density ρ = A/r, where A is a constant and r
is the distance from the center of the shell. In addition, a small
ball of charge q = 45.7 fC is located at that center. What value
should A have if the electric field in the shell (a ≤ r...
2. Given a spherical dielectric shell (inner radius a, outer radius b, dielectric constant K) and...
2. Given a spherical dielectric shell (inner radius a, outer radius b, dielectric constant K) and a point charge Q, which is infinitely separated from the shell. Now let Q be placed at the center of the shell. Determine the change in the energy of the system (Hint: the induced charge densities σα and ơb due to the centered Q on the inner and outer surfaces are-(Q/4 a 2)(K-1)/K] and +(Q/4 b2)(K-1)/ki, respectively.)
2. Given a spherical dielectric shell (inner...
A point charge is located at the center of a conducting spherical shell with inner radius...
A point charge is located at the center of a conducting spherical shell with inner radius of R1 and outer radius of R2. The figure to the right is a plot of the net flux versus the distance r from the center 40 30 10 R2 r (m) 30 (a) Determine the magnitude and sign of the point charge at the center of the shell. (b) Determine the charge on the spherical shell
A spherical shell centered at the origin has an inner radius of 4 cm and an outer radius of 6 cm.
A spherical shell centered at the origin has an inner radius of 4 cm and an outer radius of 6 cm. The density, δ, of the material increases linearly with the distance from the center. At the inner surface, δ = 9 g/cm3; at the outer surface, g = 13 g/cm3 (a) Using spherical coordinates, write the density, δ, as a function of radius, p. (Type rho for ρ) (b) Write an integral in spherical coordinates giving the mass of the shell (for...
A conducting spherical shell with inner radius a = 0.17 m and outer radius b =...
A conducting spherical shell with inner radius a = 0.17 m and outer radius b = 0.29 m has a positive point charge Q = 2.63 μC located at its center. The total charge on the shell is -3Q, and it is insulated from its surroundings (see figure). What is the surface charge density (magnitude and sign) on the outer surface of the conducting shell? (Give your answer in scientific notation using C/m2 as unit)
21 A nonconducting spherical shell, with an inner radius of 40 nd an outer radius of 6.0 cm, has charge spread nonuniformly through its volume between its inner and outer surfaces. The vo ume charge density ρ is the charge per unit volume, with the unit coulomb per cubic meter. For this shell p bir,where r is the distance in meters from the center of the shell and b-3.0 uC/m2. What is the net charge in the shell?
A conducting spherical shell of inner radius a= 50.0 cm and
outer radius b= 60.0 cm has a net charge Q1= -7.00 μC. A second
larger conducting shell of inner radius c= 70.0 cm and outer radius
d= 80.0 cm has a net charge of Q2= +3.00 μC, and it is concentric
with the first shell as shown in the figure to the left. What is
the magnitude and direction of the electric field as a function of
distance from...
In Fig. 23-52, a nonconducting spherical shell of inner radius a
= 2.06 cm and outer radius b = 2.47 cm has (within its thickness) a
positive volume charge density ρ = A/r, where A is a constant and r
is the distance from the center of the shell. In addition, a small
ball of charge q = 45.7 fC is located at that center. What value
should A have if the electric field in the shell (a ≤ r...
2. Given a spherical dielectric shell (inner radius a, outer radius b, dielectric constant K) and a point charge Q, which is infinitely separated from the shell. Now let Q be placed at the center of the shell. Determine the change in the energy of the system (Hint: the induced charge densities σα and ơb due to the centered Q on the inner and outer surfaces are-(Q/4 a 2)(K-1)/K] and +(Q/4 b2)(K-1)/ki, respectively.)
2. Given a spherical dielectric shell (inner...
A point charge is located at the center of a conducting spherical shell with inner radius of R1 and outer radius of R2. The figure to the right is a plot of the net flux versus the distance r from the center 40 30 10 R2 r (m) 30 (a) Determine the magnitude and sign of the point charge at the center of the shell. (b) Determine the charge on the spherical shell
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