The electromagnetic gun consists of two long plates, which are closed by a metal cross bar of mass m, which has sliding contacts with the plates. The distance between the plates h. The width of the plates d is less than the length of the bar, but significantly larger than h.
a. How should the voltage applied to the plates on the left side change over time so that the bar moves to the right with a constant acceleration a? with bt² acceleration?
b. How should the voltage applied to plates with a width of 10 cm, located at a distance of 1 cm, change in order to accelerate a bar with a mass of 10 g at a length of 1 m to the first cosmic velocity with its uniform acceleration? at an acceleration that is proportional to the square of time?