Typically, the interaction potential depends only on the vector r = r1 - r2 between the two particles. In that case the Schrödinger equation separates, if we change variables from r1, r2 to r and R = (m1r1 + m2r2) / (m1 + m2) (the center of mass).
(a) Show that r1 = R + (μ/m1)r, r2 = R - (μ/m2)r, and â½1=(μ/m2)â½R +â½r ,â½2 = (μ/m1) â½R â â½r, where μ = m1m2 / m1+m2 is the reduced mass of the system.

1. consider the case in which air fills air shocks on a truck trailer. the pressure in the shocks is 2 mpa. the temperature is 300 k. the diameter of the shock piston is 10 cm and the initial length of the cylindrical cavity containing the compressed air is 40 cm. a. the truck is gradually loaded over a period of a day in a static setting. the temperature is held constant for the atmosphere and thus for the gas shock. calculate the compressibility of the air in the shock for this condition when the truck is initially being loaded. b. if the shocks were loaded in a dynamic setting by driving over bumps, what would be the compressibility? state your assumption. c. what is the initial load on the shock if the shock is in an atmospheric 100 kpa? d. if the shock is compressed using the process described in part a, and the air shock compressed air cavity length decreases to 20 cm, what is the additional load applied to the shock?

An object moves from position +34m to the position -15m in 15 seconds. what is the total displacement? what is the total velocity?

If the chemical properties of a substance remain unchanged and appearance or shape of a substance changes it is called a ?