A horizontal force of 20 newtons eastward causes a 10-kilogram box to have a displacement of 5 meters eastward. The total work done on the box by the 20-newton force is
(1)40 J
(2)100 J
(3)200 J
(4)1000 J

Respuesta :

Answer: (2)  100 J

Explanation:

The Work [tex]W[/tex] done by a Force [tex]F[/tex] refers to the release of potential energy from a body that is moved by the application of that force to overcome a resistance along a path.  

It should be noted that it is a scalar magnitude, and its unit in the International System of Units is the Joule (like energy). Therefore, 1 Joule is the work done by a force of 1 Newton when moving an object, in the direction of the force, along 1 meter:  

[tex]1J=(1N)(1m)=Nm[/tex]  

Now, when the applied force is constant and the direction of the force and the direction of the movement are parallel, the equation to calculate it is:  

[tex]W=(F)(d)[/tex] (1)  

Where [tex]d[/tex] is the distance traveled by the object.

In this case:

[tex]F=20N[/tex]  and [tex]d=5m[/tex]

Hence:  

[tex]W=(20N)(5m)[/tex]  

[tex]W=100Nm=100J[/tex] >>>>This is the work