How much work in joules is done by a person who uses a force of 25 N to move a desk 3 m? Show work and formula.
Isn't work equal to force x distance?
3 multiplied by 25 is 75. You have 75 joules of work.
To calculate the work done by a person, we can use the formula:
Work (W) = Force (F) × Distance (d) × cosθ
Where:
- Work (W) is measured in joules (J)
- Force (F) is measured in newtons (N)
- Distance (d) is measured in meters (m)
- θ represents the angle between the direction of the force and the direction of the displacement. In this case, we assume it to be 0 degrees, so cosθ would be 1.
Given:
- Force (F) = 25 N
- Distance (d) = 3 m
Using the formula, we can calculate the work:
W = 25 N × 3 m × cos(0°)
Since the angle is 0 degrees, cos(0°) would be equal to 1:
W = 25 N × 3 m × 1
W = 75 J
Therefore, the work done by the person is 75 joules (J).
To calculate the work done, you can use the formula W = F × d × cosθ, where you substitute the given values for force (F) and distance (d), and determine the value of θ (angle).