A force F is exerted by a broom handle on the head of the broom, which has a mass m. The handle is at an angle � to the horizontal, as shown below. What is the work done by the force on the head of the broom as it moves a disacross a horizontal floor?tance d
To calculate the work done by the force on the head of the broom, we can use the formula:
Work = Force × Distance × Cosine(θ)
Where:
- Force (F) is the magnitude of the force exerted by the broom handle on the head of the broom.
- Distance (d) is the distance the head of the broom moves across the horizontal floor.
- θ (theta) is the angle between the force and the direction of the displacement.
In this case, the force (F) is exerted by the broom handle, the distance (d) is the distance the head of the broom moves across the floor, and the angle (θ) is the angle between the handle and the horizontal floor.
So, to find the work done, plug in the given values:
Work = F × d × Cosine(θ)
Remember to use the cosine function with the angle in radians or convert it to degrees if necessary.