the lorentz transformations between two inertial frames s and s' may be written a) a ruler of length l is at rest in s. use the appropriate lorentz transformation 3 marks b) using the appropriate lorentz transformation formulae derive the following velocity formula to derive an expression for the length of the ruler as measured in s transformation formulac: 10 marks] c) a spaceship travelling directly bway from the earth fires a projectile with velocity 0.5c perpendicular to the line to the earth as measured in the spaceship. measure- ments from the earth show that the projectile's velocity has a component of 0.4c perpendicular to the line to the spaceship what is the spoed of the spaceship relative to the earth? 8 marks) whst is the magnitude and direction of the projoctile's velocity as measured from 4 marles] the earth?

11. you want to calculate the displacement of an object thrown over a bridge. using -10 m/s2 for acceleration due to gravity, what would be the total displacement of the object if it took 8 seconds before hitting the water?

The lights used by mark watley (played by matt damon) during the film the martian seem to be metal halide lamps. metal halide lamps are filled with vaporized mercury and metal-halogen compounds. when an electric current is passed through the lamp, the tube begins to glow a bright white/blue color. if you were to pass this light through a prism to separate the individual light frequencies, you would see a rainbow just as you would if using natural sunlight because of the complexity of the metal halide gas and the vast amount of possible electron transitions. (the study of light in this way is known as spectroscopy and allows astronomers to know exactly what atoms compose distant stars, simply by looking at the light they emit. the spectral lines an atom produces uniquely identifies that atom just like a fingerprint uniquely identifies a person. the momentum equation and energy equation that we have used above can be combined to give the following equation: c = e p where again p is the phonon momentum, e is the photon energy and c is the speed of light. when you divide the photon energy found in #6 by the photon momentum found in #4, do you get the speed of light? (if not, check your work for questions #4 through #6). yes no

Find v(t), given acceleration a(t)=7j and initial velocity v(0)=k