A baseball pitcher is attempting to strike out a batter and they throw their best fast ball at 40m/s. The distance between the pitchers mound and the center of home plate is 17.5m. The batter swings the bat at an average of 12 rad/s just 0.3s after the pitcher releases the ball and the angular displacement of the bat from the batters shoulder to the hitting position directly over the place is 1.65 rads. Will the bat strike the ball, or will the batter have swung to early or too late

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

Suppose while hauling rocks, you accidentally drop one. it breaks apart in flat, planar sections. what type of rock did you just drop? 20 points

The slope of a velocity time graph over any interval of time gives the during that interval