Homework Questions

Applications Navigation and Force

NavigationBearing: degrees from N (0°)

Quick ExampleBearing of 100°

Note: Knots (nautical mph)

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.

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.

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.

Example 4A plane is flying on a bearing of 300° at 450

mph. Find the component form.

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)

Example 6 If the same plane needs to head due north to

reach its destination, at what bearing must it set its course?

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.

Example 8Do the same thing when the

object weights 200 lbs and the inclined plane makes a 200 angle with the ground.

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?

Example 9 cont… B) At what angle is the object moving?

Homework Pg 434 (17, 18, 25, 26) Pg 512 (30, 32, 41-43, 46, 48)