What is the best definition for work?
Group of answer choices

This is done when a force is in the opposite direction as the object moves.

This is done when a force is in the same direction as the object moves.

This is done when a acceleration is in the same direction as the object moves.

This is done when a acceleration is in the opposite direction as the object moves.

Respuesta :

Work is done when a force is in the same direction as the object moves.

Explanation:

The work done by a force in moving an object is given by the equation

[tex]W=Fd cos \theta[/tex]

where

F is the magnitude of the force

d is the displacement of the object

[tex]\theta[/tex] is the angle between the directions of F and d

From the equation, we notice the following:

  • Work is done by a force when the force is in the same direction as the object moves. In fact, in this case, [tex]\theta=0^{\circ}[/tex], and so [tex]cos \theta = 1[/tex], which means that the work done simply becomes [tex]W=Fd[/tex]
  • When the force is perpendicular to the motion of the object, [tex]\theta=90^{\circ}[/tex] and [tex]cos \theta = 0[/tex], which means that no work done
  • Technically, work is also done when the force is not parallel to the motion of the object: in this case, the factor [tex]cos \theta[/tex] means that only the component of the force parallel to the direction of motion contributes to do work on the object.

Therefore, the correct answer is

Work is done when a force is in the same direction as the object moves.

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