Construct Your Own Problem Consider sunlight entering the Earth’s atmosphere at sunrise and sunset−that is, at a 90° incident angle. Taking the boundary between nearly empty space and the atmosphere to be sudden, calculate the angle of refraction for sunlight. This lengthens the time the Sun appears to be above the horizon, both at sunrise and sunset. Now construct a problem in which you determine the angle of refraction (or different models 01 the atmosphere, such as various layers of varying density. Your instructor may wish to guide you on the level of complexity to consider and on how the index at retraction varies with air density.
Construct Your Own Problem Consider sunlight entering the Earth’s atmosphere at sunrise and sunset−that is, at a 90° incident angle. Taking the boundary between nearly empty space and the atmosphere to be sudden, calculate the angle of refraction for sunlight. This lengthens the time the Sun appears to be above the horizon, both at sunrise and sunset. Now construct a problem in which you determine the angle of refraction (or different models 01 the atmosphere, such as various layers of varying density. Your instructor may wish to guide you on the level of complexity to consider and on how the index at retraction varies with air density.
Consider sunlight entering the Earth’s atmosphere at sunrise and sunset−that is, at a 90° incident angle. Taking the boundary between nearly empty space and the atmosphere to be sudden, calculate the angle of refraction for sunlight. This lengthens the time the Sun appears to be above the horizon, both at sunrise and sunset. Now construct a problem in which you determine the angle of refraction (or different models 01 the atmosphere, such as various layers of varying density. Your instructor may wish to guide you on the level of complexity to consider and on how the index at retraction varies with air density.
Taking a Hike
A hiker begins a trip by first walking 21.0 km southeast from her car. She stops and sets up her tent for the night. On the second day, she walks 46.0 km in a direction 60.0° north of east, at which point she discovers a forest ranger's tower.
y (km)
Can
N
W-DE
45.0°
60.0°
Tent
Tower
B
x (km)
☹
(a) Determine the components of the hiker's displacement for each day.
SOLUTION
Conceptualize We conceptualize the problem by drawing a sketch as in the figure. If we denote the displacement vectors on the first and second days by A and B, respectively, and use the ---Select-- as the origin of coordinates, we obtain the vectors shown in the figure. The sketch allows us to estimate the resultant vector as shown.
Categorize Drawing the resultant R, we can now categorize this problem as one we've solved before: --Select-- of two vectors. You should now have a hint of the power of categorization in that many new problems are very similar to problems we have already solved if we are…
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You want to determine if a new material created for solar panels increases the amount of energy that can be captured . You have acquired 15 panels of different sizes manufactured with different materials including the new material.You decide to set up an experiment to solve this problem .What do you think are the 3 most important variables to address in your experience? How would you incorporate those materials in your experiment?
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