The law of conservation of energy states that
a) energy may be created, destroyed or transformed.
b) energy may be created, but only in certain types of nuclear reactions.
c) energy may neither be created nor destroyed; it may only be transformed.
d) the energy created by one process must be equal to that destroyed by another process.

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?