Sample_practice exam 2013, questions and answers

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Nov 24, 2024

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A) [1] A quark is a fundamental particle. True/False B) [1] Gravitational Potential energy is a scalar quantity. True or False C) [2] A student measures with a stop watch the period of a swinging mass on a string, a pendulum, and reads 2.035s and calculates that the uncertainty is about 10%. Express the result of his measurements using the appropriate significant figures T=_____________+/-_______________seconds. A red and a violet laser beam traveling through air are considered in the following questions. One of them has a wavelength of approximately 400 nm and the other approximately 750 nm. D) [1] Which wavelength is the violet laser?___________ E) [2] What is the frequency of the violet laser? F) [2] What is the velocity of the violet light? Both laser beams illuminate the same pair of small slits from the same angle (as in the figure below). They are incident on 2 thin slits in a metal foil positioned 5 meters from a screen. The slits are 1 micrometer wide each and the metal strip that separates them is 2 micrometers wide. G) [4] Sketch the interference pattern that would be seen on the screen indicating where the violet and the red bright spots would appear Downloaded by Kevin Lang (dilas34153@fesgrid.com) lOMoARcPSD|31076631
There is some concern that another massive comet will change life on earth after a catastrophic impact. If a 10 km diameter comet with a density of 2200 kg/m 3 and travelling at 11 km/s (as in the one that has been proposed caused massive extinction previously on earth) were on a direct line trajectory with earth we could try to divert it with a massive thing crashing into it from the side, in an inelastic collision. Consider sacrificing the ISS in a collision at an altitude as distance as the moon. The ISS: orbits about 300 km from earth’s surface, average speed is 8000 m/s, mass of 450,000 kg. The diameter of the earth is ~13000 km, distance to the moon is 400,000 km I) [4] At what speed would the ISS have to be traveling in the collision far from the earth, near the moons distance, to divert it enough to miss the earth and save humanity? J) [4] Draw a labeled vector diagram of the asteroid trajectory and ISS trajectory both before and after the collision. Bonus [4] Algebraically give the vectors above. Downloaded by Kevin Lang (dilas34153@fesgrid.com) lOMoARcPSD|31076631
O) [2] Find the angular momentum of Jupiter in its orbit. P) [2] Find the rotational kinetic energy of Jupiter in its orbit. Q) [2] Find the centripetal force from gravity that holds Jupiter in its orbit. A velocity versus time graph is given below. R) [4] What is the instantaneous acceleration of the particle at t=2 seconds? S) [4] Estimate the distance traveled during the first 3 seconds of travel. Downloaded by Kevin Lang (dilas34153@fesgrid.com) lOMoARcPSD|31076631
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