contestada

A force of 20 newtons is required to push a 30 kg cart 40 meters across a room. From this effort, how many joules of work are performed?

Respuesta :

Answer: 800 Joules

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 with distance [tex]d[/tex].  

Work is a scalar, 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 (as this case), the equation to calculate it is:  

[tex]W=(F)(d)[/tex]

Where:

[tex]F=20 N[/tex]

[tex]d=40 m[/tex]

Then:

[tex]W=(20 N)(40 m)[/tex]

[tex]W=800 Nm=800 J[/tex]