Block 1, of mass m1 = 2.70 kg , moves along a frictionless air track with speed v1 = 23.0 m/s . it collides with block 2, of mass m2 = 33.0 kg , which was initially at rest. the blocks stick together after the collision. (a) find the magnitude pi of the total initial momentum of the two-block system.
(b) find vf, the magnitude of the final velocity of the two-block system.
(c) what is the change? k=kfinal? kinitial in the two-block system's kinetic energy due to the collision?

Consider a one meter long horizontal pipe with a constant 100 cm^2 cross sectional area. water flows rightward into the pipe at x = 0 with flow velocity 02m/sec at every point within the pipe intake area. at x=1, the rightward flow rate is 0.192 m/sec. assume the water is a conserved quantity in the pipe, so there must be a leak (a sink) somewhere in the pipe. 1. compute net volumetric flow of the source if the system to be in equilibrium. 2. now assume the pipe in the problem has no leaks. compute the net volumetric rate of change for the system.