Diego pulls a 4.5 kg sled across level snow with a force, F, of 230 N on a rope that is 35.0° above the horizontal. If the sled moves a distance of 65.5 m, how much work does Diego do?
what formula do i use?
To calculate the work done by Diego, you can use the formula:
Work = force x displacement x cos(theta)
Where:
- Work is the amount of work done (in Joules)
- Force is the applied force (in Newtons)
- Displacement is the distance the sled moves (in meters)
- Theta is the angle between the force and displacement vectors (in degrees)
In this case, the force is 230 N, the displacement is 65.5 m, and the angle is 35.0 degrees above the horizontal.
To calculate the work done by Diego, we can use the formula:
Work = Force × Distance × Cos(θ)
In this formula:
- Work is the amount of work done, measured in joules (J).
- Force is the applied force, measured in newtons (N).
- Distance is the distance over which the force is applied, measured in meters (m).
- θ (theta) is the angle between the force vector and the direction of motion in degrees.
Given that:
- Force (F) = 230 N
- Distance = 65.5 m
- θ (theta) = 35.0°
Substituting these values into the formula, we have:
Work = 230 N × 65.5 m × Cos(35.0°)
Now, we can calculate the work done.