Derive an expression for the casimir force between a plane and a sphere of radius r, separated by some distance a, in the limit a r. to do this make use of the proximity theorem. wherein you treat the two surfaces as nearly flat and assume the force from each region is given by the casimir pressure, p, between two planes (2.182), or in other words: df p (d(x)) da you should expand the separation between the surfaces, d(x), to second order. (these approximations actually produce extremely accurate results for the casimir force because the distance dependence is so steep.) also derive the casimir force for two spheres of radius r, again separated by a

the order for strong to weak forces such as

strong nuclear force → electromegnetic force → weak nuclear force → gravitational force

the fundamental forces are those forces that act between to objects or element to make interactions. there are four types of fundamental forces such as strong and weak nuclear forces (due to protons and electrons), electromagnetic force (due to the motion of electrons) and gravitational force (due to orbital movement of the planet). if these forces are arranged on the basis of their maximum strength then the order is

strong nuclear force → electromegnetic force → weak nuclear force → gravitational force

get the total number of pieces of fruit and divide it by 4 to get the average. the result is the answer to the problem. 14 total number of fruits and there are 4 members. 14 divided by 4 is equals to 3.5.