question archive The History of PhysicsPROBLEM SET #2 – Due 11/19/151
The History of PhysicsPROBLEM SET #2 – Due 11/19/151
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The History of PhysicsPROBLEM SET #2 – Due 11/19/151. Suppose that Galileo ?red a cannon in a horizontal direction from aheight of 50 feet above level ground, and found that the cannon ballhit the ground 3000 feet away.(a) What was the speed of the cannon ball when it left the cannon?(b) How far would the ball have gone if it had been ?red by the samecannon from a height of 200 feet?(Ignore air resistance in answering this problem.)2. Suppose that Snell found that the relation between the angle of incidence i and the angle of refraction r when a light ray passes from airto medium A issin i=3sin rwhile when a light ray passes from air to medium B the relation issin i=2.sin rWhat is the relation between the angles of incidence and refractionwhen a light ray passes from medium A to medium B?3. Suppose that all of Newton’s laws were correct, except that the forceof gravity decreases with the inverse cube of the distance, rather thanthe inverse square. What would replace Kepler’s third law, for planetsmoving in circles with the Sun at the center?4. Suppose that the largest distance of any point on an ellipse from thecenter of the ellipse is 1 meter, and the distance from one focus of thesame ellipse to the other focus is also 1 meter. What is the shortestdistance from the center of that ellipse to any point on the ellipse?5. Suppose that if Copernicus could travel to the planet Bacchus, andlook back at the Earth, he would see that the angle betwseen the linesof sight to the Sun and the Earth is never more than 20? . How far inAstronomical Units (AU) is Bacchus from the Sun? (You can take theorbits of the Earth and Bacchus to be circles, in the same plane, andwith the Sun at the center of both.)1
