Inside a starship at rest on the earth, a ball rolls off the top of a horizontal table and lands a distance d from the foot of the table. this starship now lands on the unexplored planet x. the commander, captain curious, rolls the same ball off the same table with the same initial speed as on earth and finds that it lands a distance 2.76d from the foot of the table. what is the accelera- tion due to gravity on planet x?

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

Free runners jump long distances and land on the ground or a wall. how do they apply newton’s second law to lessen the force of impact?

Rohit is trying to tune an instrument