what is the work with a force of 19.3 N and a displacement 7 m and an angle of 80.0
To find the work done, we can use the formula:
Work = Force × Displacement × cos(θ)
where
- Work is the amount of work done,
- Force is the applied force,
- Displacement is the distance traveled by the object,
- θ (theta) is the angle between the applied force and the direction of displacement.
In this case,
- Force = 19.3 N,
- Displacement = 7 m,
- θ = 80.0°.
Now, we can plug in these values into the formula to calculate the work done:
Work = 19.3 N × 7 m × cos(80.0°)
To find the value of cos(80.0°), you can use a scientific calculator or trigonometric table. The cosine of 80.0° is approximately 0.1736.
Work = 19.3 N × 7 m × 0.1736
Finally, we can calculate the work done:
Work = 22.79 J (Joules)
Therefore, the work done with a force of 19.3 N, a displacement of 7 m, and an angle of 80.0° is approximately 22.79 Joules.