A 2 kg mass is oscillating on a spring that has a spring constant of 40 N/m. The speed of the mass is 1.5 m/s when it passes through the equilibrium position.

a. What is the period of the oscillation?

b. What is the total energy of the system?

c. What is the maximum displacement (amplitude) of the oscillator?

d. What is the speed of the mass when its displacement is 0.2 m?

e. If t=0 seconds when the mass is at its maximum displacement, what is its displacement atte12 seconds?

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.