Final answer:
To find the necessary pulling force F for a specific parallel component Fx on an inclined plane, we use trigonometric functions involving the given angles of the ramp and the force direction. The perpendicular component Fy can be easily found once F is determined. The work done by a force on an object is calculated based on the force applied, the displacement, and the angle between them.
Step-by-step explanation:
The question involves concepts from physics, specifically the decomposition of forces on an inclined plane and the calculation of work done by forces. To solve part A of the problem, we use the fact that the component of force F parallel to the ramp (Fx) is given by F cos(θ), where θ is the angle between the force F and the inclined plane. Given an angle of 20.0 degrees for the ramp and an angle of 30.0 degrees for the force with the ramp, and considering we need an Fx of 60.0 N, we would use the equation Fx = F cos(θ) to find the necessary value of F.
To solve part B, the perpendicular component (Fy) can be found using the sine function: Fy = F sin(θ). Once the total force F is determined from part A, one can easily calculate Fy.
In this context, work done refers to the product of the force applied to an object and the displacement of that object in the direction of the force. Work can be calculated using the formula W = Fd cos(φ), where F is the magnitude of the force, d is the displacement, and φ is the angle between the force and the displacement direction.