question_answer

In an XY horizontal plane a force field \[\vec{F}=-\left( 40N/m \right)\left( y\hat{i}+x\hat{j} \right)\]is present where x and y the coordinates of any point on the plane. A smooth rod AB is fixed in the plane as shown in the figure. A particle of mass 5 kg is to be released with a velocity in this force field such that I reaches to point B. Find the minimum velocity (in m/s) that must be imparted along the rod at A such that it reaches to B.

Answer:

2.00