Jaime lifts a package weighing 75N. if she lifts it 1.2 m, what work has she done
1 answer:
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- Magnitude: 12.1 N.
- Direction: 17.0° to the 8 N force.
Refer to the diagram attached (created with GeoGebra). Consider the 5 N force in two directions: parallel to the 8 N force and normal to the 8 N force.
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The sum of forces on each direction will be the resultant force on that direction:
- Resultant force parallel to the 8 N force:
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- Resultant force normal to the 8 N force:
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Apply the Pythagorean Theorem to find the magnitude of the resultant force.
(3 sig. fig.).
The size of the angle between the resultant force and the 8 N force can be found from the tangent value of the angle. Tangent of the angle:
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Find the size of the angle using inverse tangent:
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In other words, the resultant force is 17.0° relative to the 8 N force.
