Question

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

Answer 1

Answer: (2) 100 J

Step-by-step explanation:

The Work
`W` done by a Force
`F` 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:

`1J=(1N)(1m)=Nm`

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:

`W=(F)(d)` (1)

Where
`d` is the distance traveled by the object.

In this case:

`F=20N` and
`d=5m`

Hence:

`W=(20N)(5m)`

`W=100Nm=100J` >>>>This is the work