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

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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.