Final answer:
When the force is constant and maintains the same angle throughout a displacement, the work done is equal to the product of the force magnitude, displacement magnitude, and the cosine of the angle.
Step-by-step explanation:
The work done when a force is constant and maintains the same angle throughout a displacement of the particle it acts on can be calculated using the formula W = | F | (cosθ) | d |, where W is the work done, F is the force, θ is the angle between the force and displacement vectors, and d is the displacement. When the angle between the force and displacement vectors is constant, the work done is equal to the product of the magnitude of the force, the magnitude of the displacement, and the cosine of the angle.
For example, if a person pushes a lawn mower with a constant force parallel to the displacement, then the work done is equal to the product of the force magnitude, the displacement magnitude, and the cosine of the angle between the force and displacement vectors. Similarly, if the force and displacement vectors are perpendicular, then no work is done because the cosine of 90 degrees is zero.