A particle moves from A to B and then B to C, where A,B,C are midpoints of faces of a cube of side 2 m. A constant force $\vec{F}$ =(3î+4ĵ-5k̂) N acts. Select the correct statements.

Question

A particle moves from A to B and then B to C, where A,B,C are midpoints of faces of a cube of side 2 m. A constant force F ⃗ \vec{F} F =(3î+4ĵ-5k̂) N acts. Select the correct statements.

G1 Physics · Accepted Answer

Because F⃗ is constant, work is F⃗·Δr⃗ and is path-independent, so it is conservative. Using the face-midpoint coordinates of the cube gives W(AB)=7 J, W(BC)=1 J and W(AC)=8 J. Hence all A-D are correct.