(b) now consider the scattering of a small projectile off a hard "sphere" (actually a hard disk) of radius r pinned down to the ice. find the differential cross section. (note that in two dimensions, hard "sphere" scattering is not isotropic.) (c) by integrating your answer to part (b), show that the total cross section is 2r as expected.

The temperature of air decreases as it is compressed by an adiabatic compressor. a)- true b)- false

Water in a partially filled large tank is to be supplied to the roof top, which is 8 m above the water level in the tank, through a 2.2-cm-internal-diameter pipe by maintaining a constant air pressure of 300 kpa (gage) in the tank. if the head loss in the piping is 2 m of water, determine the discharge rate of the supply of water to the roof top in liters per second.

Amass-spring-viscous damper system of mass 3 kg has a frequency of 100 rad/s and is critically damped. its initial conditions are x(0)-3 mm and (0)-2.3 m/s. does the system overshoot its equilibrium position? prove your answer