A container is given a push across a horizontal, frictionless surface. The container has a mass m, the push gives it an initial speed of vi, and the coefficient of kinetic friction between the container and the surface is μk.(a) Use energy considerations to find an expression for the distance the container moves before it stops. (Use any variable or symbol stated above along with the following as necessary: g.)d = (b) If the initial speed of the container is increased by a factor of 3, determine an expression for the new distance dnew the box slides in terms of the old distance d. d