Match the cycle with processes that they use to recycle their material. 1. carbon cycle
nitrification, denitrification, fixation, assimilation, and ammonification
2. nitrogen cycle
weathering, erosion, decomposition, and absorption
3. phosphorus cycle
photosynthesis, respiration, decomposition, and absorption

Suppose that a mass of 2 kg is attached a spring whose spring constant is 50. the system is damped such that b = 12 . the mass is set in motion with an initial velocity of -8 m/s at a position 0 meters from equilibrium. set up and solve a differential equation that models this motion. write your solution in the form a cos ( ω t − α ) where α is a positive number. use your solution to fill in the information below: what is the amplitude of the motion? what is the value of ω ? what is the phase shift?