A hot-air balloon is drifting in level flight due east at 2.5 m/s due to a light wind. The pilot suddenly notices that the balloon must gain 24 m of altitude in order to clear the top of a hill 120 m to the east. (a) How much time does the pilot have to make the altitude change without crashing into the hill? (b) What minimum, constant, upward acceleration is needed in order to clear the hill? (c) What are the horizontal and vertical components of the balloon’s velocity at the instant that it clears the top of the hill?
A hot-air balloon is drifting in level flight due east at 2.5 m/s due to a light wind. The pilot suddenly notices that the balloon must gain 24 m of altitude in order to clear the top of a hill 120 m to the east. (a) How much time does the pilot have to make the altitude change without crashing into the hill? (b) What minimum, constant, upward acceleration is needed in order to clear the hill? (c) What are the horizontal and vertical components of the balloon’s velocity at the instant that it clears the top of the hill?
A hot-air balloon is drifting in level flight due east at 2.5 m/s due to a light wind. The pilot suddenly notices that the balloon must gain 24 m of altitude in order to clear the top of a hill 120 m to the east. (a) How much time does the pilot have to make the altitude change without crashing into the hill? (b) What minimum, constant, upward acceleration is needed in order to clear the hill? (c) What are the horizontal and vertical components of the balloon’s velocity at the instant that it clears the top of the hill?
Statistical thermodynamics. The number of imaginary replicas of a system of N particlesa) cannot be greater than Avogadro's numberb) must always be greater than Avogadro's number.c) has no relation to Avogadro's number.
Lab-Based Section
Use the following information to answer the lab based scenario.
A student performed an experiment in an attempt to determine the index of refraction of glass.
The student used a laser and a protractor to measure a variety of angles of incidence and
refraction through a semi-circular glass prism. The design of the experiment and the student's
results are shown below.
Angle of
Incidence (°)
Angle of
Refraction (º)
20
11
30
19
40
26
50
31
60
36
70
38
2a) By hand (i.e., without using computer software), create a linear graph on graph paper
using the student's data. Note: You will have to manipulate the data in order to achieve a
linear function.
2b) Graphically determine the index of refraction of the semi-circular glass prism, rounding your
answer to the nearest hundredth.
Use the following information to answer the next two questions.
A laser is directed at a prism made of zircon (n = 1.92) at an incident angle of 35.0°, as shown in
the diagram.
3a) Determine the critical angle of zircon.
35.0°
70°
55
55°
3b) Determine the angle of refraction when the laser beam leaves the prism.
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