Use the formulae for the lorentz transformation of z and t we derived in class to prove by explicit calculation that (tc)2-2 does not change under lorentz transformation. (10 pts)

What is the thinnest soap film (excluding the case of zero thickness) that appears black when illuminated with light with a wavelength of 480 ? the index of refraction of the film is 1.34, and there is air on both sides of the film. express your answer in nanometers. hint 1. how to approach th

What is the force that opposes motion and works against the downward pull? a) friction b) gravity c) weight d) acceleration

Panel bc in fig. p2.76 is semi-circular, with the 3 meter radius and horizontal straight edge through point b. compute (a) the hydrostatic force of the water on the panel, (b) its center of pressure, and (c) the moment of this force about point b. assume atmospheric pressure on the dry side of the panel