A 2.0\,\text {kg}2.0kg2, point, 0, start text, k, g, end text box is released from rest at a height y_0 =0.25\,\text my 0 ​ =0.25my, start subscript, 0, end subscript, equals, 0, point, 25, start text, m, end text on a frictionless ramp. The box slides from the ramp onto a rough horizontal surface with a friction coefficient \mu_k=0.50μ k ​ =0.50mu, start subscript, k, end subscript, equals, 0, point, 50. At the left side is a box labeled m on a ramp that slopes down and to the right. The box is a height y_0 above a flat section of rough surface. A second box is to the right side of the diagram. An arrow points from the box on the left to the box on the right by flowing the ramp and level surface. At the left side is a box labeled m on a ramp that slopes down and to the right. The box is a height y_0 above a flat section of rough surface. A second box is to the right side of the diagram. An arrow points from the box on the left to the box on the right by flowing the ramp and level surface. How far does the box slide along the rough surface? Round answer to two significant digits. \text mm