A long piece of paper is being pulled on a horizontal surface with a constant velocity upsilon along its length. Width of the paper is L. A small block moving horizontally, perpendicular to the direction of motion of the paper, with velocity v slides onto the paper. The coefficient of friction between the block and the paper is mu. Find maximum value of v such that the block does not cross the opposite edge of the paper.

A long piece of paper is being pulled on a horizontal surface with a c

1.	A long piece of paper is being pulled on a horizontal surface with a constant velocity upsilon along its length. Width of the paper is L. A small block moving horizontally, perpendicular to the direction of motion of the paper, with velocity v slides onto the paper. The coefficient of friction between the block and the paper is mu. Find maximum value of v such that the block does not cross the opposite edge of the paper.
Answer» ANSWER :`V_("max") = (-u^(2))/(2) + ((u^(4))/(4) + (2mugl)^(2))`