In 1999, quantum interference was observed in a beam of so-called buckyballs: carbon molecules with the formula c60 and the shape of a soccer ball.
a) the wavelength observed was about 3 pm. how fast were the molecules moving?
b) what would be the wavelength of an electron moving at the same speed?
c) numerically justify the neglect of relativistic effects in this problem.

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?