Analytical Mechanics Exercise 7

Analytical Mechanics Exercise 7
1. In this question we would like to calculate differential and total
cross section for particles scattered from unpenetrenable sphere
with radius R
( )
{
2. In this question we would like to calculate differential cross section
for a particles scattered from a sphere that has a constant depth
( )
{
3. Assume that a beam of particles having mass
are moving
towards the sphere with mass
and radius R under the influence
of gravitation. Find the total cross section for scattering in this
case.
4. In this question we would like to find the impact cross section for a
beam of particles which move under the influence of the potential
of the form ( )