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a) Show that the work performed by a constant force (not necessarily in the direction of motion) can be expressed as +||PO|||proj Fl| b) As illustrated in the accompanying figure, a wagon is pulled horizontally by exerting a force of 10 Ib on the handle at an angle of 60° with the horizontal. How much work is done in moving the wagon 50 ft? F 10 lb 60° 50 ft c)A sailboat travels 100 m due north while the wind exerts a force of 500 N toward the northeast. How much work does the wind do? Draw the figure to explain the direction of force and angle included to solve the question.

a) Show that the work performed by a constant force (not necessarily in the direction of motion) can be expressed as +||PO|||proj Fl| b) As illustrated in the accompanying figure, a wagon is pulled horizontally by exerting a force of 10 Ib on the handle at an angle of 60° with the horizontal. How much work is done in moving the wagon 50 ft? F 10 lb 60° 50 ft c)A sailboat travels 100 m due north while the wind exerts a force of 500 N toward the northeast. How much work does the wind do? Draw the figure to explain the direction of force and angle included to solve the question.

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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a) Show that the work performed by a constant force (not necessarily in the direction of motion) can be expressed as W = t||PQ||||proj || b) As illustrated in the accompanying figure, a wagon is pulled horizontally by exerting a force of 10 Ib on the handle at an angle of 60° with the horizontal. How much work is done in moving the wagon 50 ft? F 10 lb 60° 50 ft c)A sailboat travels 100 m due north while the wind exerts a force of 500 N toward the northeast. How much work does the wind do? Draw the figure to explain the direction of force and angle included to solve the question.
Transcribed Image Text:a) Show that the work performed by a constant force (not necessarily in the direction of motion) can be expressed as W = t||PQ||||proj || b) As illustrated in the accompanying figure, a wagon is pulled horizontally by exerting a force of 10 Ib on the handle at an angle of 60° with the horizontal. How much work is done in moving the wagon 50 ft? F 10 lb 60° 50 ft c)A sailboat travels 100 m due north while the wind exerts a force of 500 N toward the northeast. How much work does the wind do? Draw the figure to explain the direction of force and angle included to solve the question.
In physics and engineering the work W performed by a constant force F applied in the direction of motion to an object moving a distance d on a straight line is defined to be W = ||F||d(force magnitude times distance) \In the case where the applied force is constant but makes an angle 0 with the direction of motion, and where the object moves along a line from a point P to a point Q, we call PQ the displacement and define the work performed by the force to be W = F • PQ = ||F|||PO||cose (see accompanying figure). Common units of work are ft-Ib (foot-pounds) or Nm (Newton-meters). ||F|| F L||F|| cos 0 -||P|- Work = (1|F|| cos e) ||PQ|| %3D a) Show that the work performed by a constant force (not necessarily in the direction of motion) can be expressed as
Transcribed Image Text:In physics and engineering the work W performed by a constant force F applied in the direction of motion to an object moving a distance d on a straight line is defined to be W = ||F||d(force magnitude times distance) \In the case where the applied force is constant but makes an angle 0 with the direction of motion, and where the object moves along a line from a point P to a point Q, we call PQ the displacement and define the work performed by the force to be W = F • PQ = ||F|||PO||cose (see accompanying figure). Common units of work are ft-Ib (foot-pounds) or Nm (Newton-meters). ||F|| F L||F|| cos 0 -||P|- Work = (1|F|| cos e) ||PQ|| %3D a) Show that the work performed by a constant force (not necessarily in the direction of motion) can be expressed as
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