a) Show that the work performed by a constant force (not necessarily in the direction of motion) can beexpressed asW = t||PQ||||proj ||b) As illustrated in the accompanying figure, a wagon is pulled horizontally by exerting a force of 10 Ib onthe handle at an angle of 60° with the horizontal. How much work is done in moving the wagon 50 ft?F10 lb60°50 ftc)A sailboat travels 100 m due north while the wind exerts a force of 500 N toward the northeast. Howmuch work does the wind do? Draw the figure to explain the direction of force and angle included to solvethe question. In physics and engineering the work W performed by a constant force F applied in the direction of motionto an object moving a distance d on a straight line is defined to be W = ||F||d(force magnitude timesdistance) \In the case where the applied force is constant but makes an angle 0 with the direction ofmotion, and where the object moves along a line from a point P to a point Q, we call PQ the displacementand define the work performed by the force to beW = F • PQ = ||F|||PO||cose(see accompanying figure). Common units of work are ft-Ib (foot-pounds) or Nm (Newton-meters).||F||FL||F|| cos 0-||P|-Work = (1|F|| cos e) ||PQ||%3Da) Show that the work performed by a constant force (not necessarily in the direction of motion) can beexpressed as

Answered: Image /qna-images/answer/1023e035-5c71-4869-9555-3635cf29b44f.jpg

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)

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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Question

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

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