a box weighs 200 N. If you push on the box with a force of 15 N and the box does not move, how much work did you do? A) 0 J B) 15 J C) 15 N or D) 3000J
work = force * distance
no distance, no work.
To determine how much work you did, we can use the formula:
Work = Force × Distance × cos(θ)
where:
- Force is the amount of force applied (15 N in this case).
- Distance is the displacement caused by the force (which is zero because the box did not move).
- θ is the angle between the force and the direction of the displacement. Since the box does not move, the angle is irrelevant and can be considered 0 degrees.
Using this formula, the work done can be calculated as:
Work = 15 N × 0 × cos(0)
Since the distance is zero, the work done is also zero.
Therefore, the correct answer is A) 0 J (zero joules).