27.6k views
0 votes
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?

1 Answer

2 votes

Answer: 800 Joules

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 with distance
d.

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:


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


W=(F)(d)

Where:


F=20 N


d=40 m

Then:


W=(20 N)(40 m)


W=800 Nm=800 J

User Charlie Arehart
by
8.4k points

No related questions found