You are carrying a backpack across campus. What is the work done by your verticals carrying force on the backpack? Please explain...
NONE !!!!
work is force IN THE DIRECTION OF MOTION times distance
None due لاتوجد شغل بإزاحة عمودية
The work done by the vertical force on the backpack can be calculated using the formula:
Work = force × distance × cosine(theta)
where:
- force is the magnitude of the vertical force exerted by you carrying the backpack,
- distance is the distance traveled by the backpack vertically, and
- theta is the angle between the direction of the force and the direction of the movement.
In this case, as you are carrying the backpack across campus, we can assume that the vertical force remains constant, and the movement is purely vertical. Therefore, theta is equal to 0 degrees, since the angle between the force and the movement is 0.
Since cosine(0) is 1, the formula simplifies to:
Work = force × distance × 1
Thus, the work done by the vertical force carrying the backpack is given by the formula:
Work = force × distance
This means that the work done is directly proportional to both the magnitude of the force and the distance traveled vertically while carrying the backpack.
To determine the work done by the vertical force carrying the backpack, we can use the equation:
Work (W) = Force (F) × Displacement (d) × cos(θ),
where:
- Force (F) is the vertical force exerted by you carrying the backpack,
- Displacement (d) is the distance traveled vertically across campus, and
- θ is the angle between the direction of the force and the direction of displacement.
In this case, since you are carrying the backpack vertically, the angle θ between the force and displacement is 0 degrees (or cos(θ) = 1).
Therefore, the equation simplifies to:
Work (W) = Force (F) × Displacement (d) × cos(0) = Force (F) × Displacement (d).
The work done by the vertical force carrying the backpack would be equal to the product of the force and the displacement.