Question

2-Dimensional Varying Force Question...

Answer 1

A force acting on a particle moving in the x plane given by...\[\vec F = (2y \hat i+x^2 \hat j)\]Where F is in newtons and x and y are in meters.

The particle moves from the origin to a final position having coordinates x = 5.00 m and y = 5.00 m as shown in Figure P7.43.

Calculate the work done by F on the particle as it moves along (a) the purple path, (b) the red path, and (c) the blue path. (d) Is F conservative or nonconservative? (e) Explain your answer to part (d).

Above is a crude drawing of the diagram. The three paths are essentially purple: right 5.00 units, then up 5.00 units; red: up 5.00 units, then right 5.00 units; blue: directly from (0,0) to (5.00,5.00).