day 4 and 5 applications worked
TRANSCRIPT
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Homework Questions
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Applications Navigation and Force
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NavigationBearing: degrees from N (0°)
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Quick ExampleBearing of 100°
Note: Knots (nautical mph)
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Example 1A boat is traveling 35 knots for 2 hours at a
bearing of 53° and then turns and travels 3 hours a ta bearing of 143°. Find the new bearing and the distance traveled.
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Example 2A boat is traveling at 20 knots for 3 hours at
80° and turns and travels 15 knots for 2 hours at 170°. Find the new bearing and distance traveled.
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With vectors and NavigationExample 3A plane is flying on a bearing of 65° at 500
mph. Find the component form of the velocity of the airplane.
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Example 4A plane is flying on a bearing of 300° at 450
mph. Find the component form.
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Example 5A plane is flying due North at 300 mph.
There is a wind coming from the NW at 10 mph. What is the ground speed of the plane?
(ground speed is magnitude of resultant vector)
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Example 6 If the same plane needs to head due north to
reach its destination, at what bearing must it set its course?
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Example 7An object weighing 50 lbs lies on
an inclined plane that makes a 400 angle with the ground. Find the horizontal and vertical force needed to push the object up the incline.
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Example 8Do the same thing when the
object weights 200 lbs and the inclined plane makes a 200 angle with the ground.
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Example 9One person is pulling on an object at an
angle of 60° with a force of 200 newtons. Another person is pulling on the at an angle of 45° with a force of 120 newtons.◦ A) What is the combined force on the object?◦ B) At what angle is the object moving?
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Example 9 cont… B) At what angle is the object moving?
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Homework Pg 434 (17, 18, 25, 26) Pg 512 (30, 32, 41-43, 46, 48)