A block of mass m = 2.00 kg is at rest on a ramp of mass M = 5.30 kg which, in turn, is at rest on a frictionless horizontal surface (see (a) in the figure). The block and the ramp are aligned so that each has its center of mass located at x = 0. When released, the block slides down the ramp to the left and the ramp, also free to slide on the frictionless surface, slides to the right (see (b) in the figure). Calculate xramp (in m ), the distance the ramp has moved to the right, when xblock = −0.250 m. HINT m
![A block of mass m = 1 kg is sliding at 2 m/s [E] on a frictionless surface. A curved frictionless ramp of unknown mass M is at rest on but not attached to the same frictionless surface, as shown at right. The block slides up the ramp after reaching it. The block rises to a maximum height h = 0.125 m on the ramp. What is the velocity of the block at the instant it is at that maximum vertical height? What is the velocity of the block at the instant the block loses contact with the ramp?](https://www.doubtrix.com/uploads/editor/7075683387LkQRUPOsQi.png)
