(8 points) Score 1.  During a medieval siege of a castle, the attacking army uses a trebuchet to hurl heavy stones at the castle walls. If the trebuchet launches the stones with a velocity of +30.0 m/s at an angle of 50.0°, how long does it take the stone to hit the ground? What is the maximum distance that the trebuchet can be from the castle wall to be in range? How high will the stones go? Show all your work. Answer: (8 points) Score 2.  A 70.0 kg astronaut is training for accelerations that he will experience upon reentry. He is placed in a centrifuge (r = 10.0 m) and spun at a constant angular velocity of 16.3 rpm. Answer the following: a.  What is the angular velocity of the centrifuge in rad/s? b.  What is the linear velocity of the astronaut at the outer edge of the centrifuge? c.  What is the centripetal acceleration of the astronaut at the end of the centrifuge? d.  How many g’s does the astronaut experience? e.  What is the centripetal force and net torque experienced by the astronaut? Give magnitudes and directions. Show your work. Answer: (9 points) Score 3.  An astronaut lands on an alien planet. He places a pendulum (L = 0.200 m) on the surface and sets it in simple harmonic motion, as shown in this graph. [img width="354" height="253" src="file:///C:/Users/Spare/AppData/Local/Temp/msohtmlclip1/01/clip_image002.jpg" v:shapes="_x0000_i1025"> NUMBER 1Answer the following questions: a.  What is the period and frequency of the pendulum’s motion? b.  How many seconds out of phase with the displacements shown would graphs of the velocity and acceleration be? c.  What is the acceleration due to gravity on the surface of the planet in m/s2? Determine the number of g-forces. Show any necessary calculations. Answer:(8 points) Score 1.  Explain how Einstein’s contribution to understanding the force between the earth and the moon differed from Newton’s. Include a brief statement of Einstein’s explanation in your answer. Answer: (9 points) Score 2.  Saturn has a radius of about 9.0 earth radii, and a mass 95 times the Earth’s mass. Estimate the gravitational field on the surface of Saturn compared to that on the Earth. Show your work. Answer:(9 points) Score 1.  An experiment was devised to investigate the effects on the temperature of a cup of coffee when cream is added at different time intervals. Hot and cold water were used instead of coffee and cream. First, a container of water heated to 80°C was allowed to sit for 15 minutes. Its temperature was measured at regular intervals. Next, similar temperature measurements were taken for 15 minutes on a new container of heated water, but this time some cold water was added after the 2-minute reading. Finally, the procedure was repeated except that for this last test, the cold water was added after the 12-minute reading. The resulting recorded temperatures were plotted on the graph shown here. NUMBER2 Based on the information given here, answer the following questions about the experiment. ·  What question was asked in the experiment? ·  What was the hypothesis, expressed as an if-then statement? ·  What were the independent and dependent variables? ·  What was the control in the experiment? ·  Were there any sources of error in the experiment? If so, what? ·  What could you conclude from the data? Answer: (9 points) Score 2.  Compare and contrast deductive reasoning and inductive reasoning. Based on the information given here, answer the following questions about the experiment: ·  What are the qualities of deductive reasoning? ·  What are the qualities of inductive reasoning? ·  Throughout the history of physics, when did these types of reasoning come into play? ·  Provide one example of a physicist who used deductive reasoning, one who used inductive reasoning, or one who used both. Answer: (7 points) Score 3.  The data in Light-Duty Vehicles (1975–2006) show the efficiency of light-duty vehicles from 1975 (leftmost point of the connected line) to 2006 (rightmost point of the connected line). Each point represents a year in chronological order from the left end to the right. Data adapted from http://www.sightline.org/images/blog-2008/Mileage-horsepower-EPA-600.gifNUMBER3 Look at the graph carefully and answer the following questions: ·  What generalizations can you make about changes in fuel efficiency (miles per gallon, MPG) over the course of the study? ·  What generalizations can you make about changes in engine performance (horsepower) over the course of the study? ·  What generalizations can you make about changes in vehicle efficiency (horsepower multiplied by MPG) over the course of the study? Answer:

Questions: 1) On the map what color represents the oldest oceanic crust? How old is the oldest crust as shown on the map? 2) On the map what color represents the youngest oceanic crust? How old is the youngest oceanic crust as shown on the map? 3)In the Atlantic Ocean, where is the youngest oceanic crust located (generally?) 4) In the Atlantic Ocean, where is the oldest oceanic crust located (generally?) 5) In general, geographic terms, describe the distribution of youngest and oldest oceanic crust in the Atlantic Ocean Basin. 6) How old is the oceanic crust along the coastline of Northern California? 7) Is the Northern California coastline crust older or younger than other parts of the Pacific Ocean? 8) Look the Pacific Ocean Basin and compare it to the Atlantic Ocean Basin.Specifically look at the oldest/youngest oceanic crust patterns. Are these ocean basins similar or different?Could they be both? Explain and be specific. 9) From your reading in Chapter 2 does the information given on this map regarding the age of the oceanic crust support the Theory of Plate Tectonics?Explain? (By synthesizing the information from this map and this week assigned reading, draw a correlation between deep ocean topographic features (i.e. mid-oceanic ridges, sea mounts, guyots, ocean trenches, rifts…) and the relative age of crustal material (rock)?) 10) How does plate tectonics as it relates to the formation of ocean basins help to explain the discrepancy in the age of the water in the ocean (collected over 4 billion years) and the maximum ago of the much younger oceanic crust which forms the ocean floors? Explain.