eckhoffkaylaozkwn7 eckhoffkaylaozkwn7
  • 14-03-2018
  • Physics
contestada

A rope pulls on a metal box at an angle of 60.0° with a force of 255 N. The box moves horizontally for 15.0 m. How much work was done on the box?

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skyluke89
skyluke89 skyluke89
  • 26-03-2018
The work done by the rope on the box is equal to:
[tex]W=Fd \cos \theta[/tex]
where F is the force applied by the rope, d the  distance covered by the box and [tex]\theta [/tex] is the angle between the direction of the force and of the displacement.

Using the data of the problem: [tex]F=255 N[/tex], [tex]d=15.0 m[/tex] and [tex]\theta = 60^{\circ}[/tex], we find the work:
[tex]W=(255 N)(15.0 m)(\cos 60^{\circ})=1912.5 J[/tex]
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