push a box across a table with a force of 5 newtons and the box moves 0.5 meter. how much work has been accomplished?
10 J
5N multiplied by 0.5 J
To calculate the work done, you need to use the equation:
Work = Force * Distance * cos(theta)
In this equation, "Force" represents the applied force, "Distance" represents the displacement, and "theta" represents the angle between the direction of the force and the displacement. Since the force is applied parallel to the displacement (along the table), the angle will be 0 degrees, and cos(0) is equal to 1.
Now, let's plug the values into the equation:
Force = 5 newtons
Distance = 0.5 meters
θ (angle) = 0 degrees
Work = 5 N * 0.5 m * cos(0)
Since cos(0) equals 1, the equation becomes:
Work = 5 N * 0.5 m * 1
Simplifying the equation gives us:
Work = 2.5 joules
Therefore, the amount of work accomplished in pushing the box across the table with a force of 5 newtons over a distance of 0.5 meters is 2.5 joules.