In a thermal expansion of water lab, a glass bottle of water is cooled to 0 degrees and the water level is observed as the temperature rises. there is a decrease in water level from 0 degrees to 4 degrees. then, at about 15 degrees when the bottle is placed in a warm bath (30 degrees), why is there another small and almost instant decrease in the water level when placed in the warm bath before it starts to rise again?

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?