Application of Vectors Day 2. Example 1: A piano weighing 400 pounds is being pushed up a 17° ramp 112 feet long. How much work is required to push the.

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Presentation transcript:

Application of Vectors Day 2

Example 1: A piano weighing 400 pounds is being pushed up a 17° ramp 112 feet long. How much work is required to push the piano up the ramp? Round answer to the nearest tenth.

Example 2: What is the weight of a car sitting on a 20° slope if the force required to push the car up the hill is 812 pounds?

Example 3: What is the force required to push a 60 pound trashcan up a driveway inclined at 7°?

Example 4: Two forces of 532 N and 330 N acts at a point. The resultant force is 655 N. find the angle between the forces.

Example 5: Two tugboats are pulling a disabled speedboat into port with forces 988 pounds and 1132 pounds. The angle between these forces 32.3°. Find the magnitude of the resultant.

Example 6: A plane is traveling at a bearing of N35°E at 212 mph. a headwind is blowing at a bearing of S12°E at 22 mph. What is the plane’s actual speed?

Example 7: A plane is traveling 189 mph. Traveling at a bearing of S36°E, the plane catches a tailwind blowing at S17°E with a strength of 25 mph. How fast s the plane actually going? What are the actual bearings?

Homework: Worksheet 6- Applications and more