An air column stretching from surface to fixed tropopause height of 10 km. zeta is initially zero initially. latitude = 53◦n. column then moves until over some mountain barrier (mountain barrier height = 1.6 km, latitude 43◦n). find the columns absolute and relative vorticity values as said column moves over the mountain barrier. assumption: the flow satisfies the barotropic potential vorticity equation.

The great sandini is a 60.0-kg circus performer who is shot from a cannon (actually a spring gun). you don’t find many men of his caliber, so you him design a new gun. this new gun has a very large spring with a very small mass and a force constant of 1100 n/m that he will compress with a force of 4400 n. the inside of the gun barrel is coated with teflon, so the average friction force will be only 40.0 n during the 4.00 m he moves in the barrel. at what speed will he emerge from the end of the barrel, 2.50 m above his initial rest position?