) In last Wednesday's lecture we worked out the force on a particle that is a (a) distance h above the center of a disk of radius R if the potential energy between a point particle and a surface element of area dA is -odA, where o is a density of attractive material per unit area and s is the distance from the point particle to the surface element. Now suppose that the radius R goes to infinity. What is the potential? What is the force? h R

icon
Related questions
Question
I need the answer as soon as possible
-) In last Wednesday's lecture we worked out the force on a particle that is a
(a)
distance h above the center of a disk of radius R if the potential energy between a point
particle and a surface element of area dA is - ada, where o is a density of attractive material
per unit area and s is the distance from the point particle to the surface element.
Now suppose that the radius R goes to infinity. What is the potential? What is the
force?
h
R
Figure 1: Problem 6, part a
(b) (.
we consider a particle interacting with a bulk medium composed of many sheets, each of
thickness dz. The top sheet is at z = 0 and the other sheets are at z > 0, down to
z = 00. The potential energy due to the particle's interaction with a single volume element
is – edAdz, where p is the density of bulk material and dAdz is the volume element. Compute
the potential energy due to interaction with the entire medium.
) Now let's say that instead of a particle interacting with a single sheet,
HINT: You've basically already done the integral over a single sheet a distance h away.
Just change a few symbols. Now the sheet is h+ z away.
dz
Transcribed Image Text:-) In last Wednesday's lecture we worked out the force on a particle that is a (a) distance h above the center of a disk of radius R if the potential energy between a point particle and a surface element of area dA is - ada, where o is a density of attractive material per unit area and s is the distance from the point particle to the surface element. Now suppose that the radius R goes to infinity. What is the potential? What is the force? h R Figure 1: Problem 6, part a (b) (. we consider a particle interacting with a bulk medium composed of many sheets, each of thickness dz. The top sheet is at z = 0 and the other sheets are at z > 0, down to z = 00. The potential energy due to the particle's interaction with a single volume element is – edAdz, where p is the density of bulk material and dAdz is the volume element. Compute the potential energy due to interaction with the entire medium. ) Now let's say that instead of a particle interacting with a single sheet, HINT: You've basically already done the integral over a single sheet a distance h away. Just change a few symbols. Now the sheet is h+ z away. dz
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer