Combining Conservation Laws.? A 15.0-kg block is attached to a very light horizontal spring of force constant 500.0 N/m and is resting on a frictionless horizontal table (?Fig. E8.44) ? . Suddenly it is struck by a 3.00-kg stone traveling horizontally at 8.00 m/s to the right, whereupon the stone rebounds at 2.00 m/s horizontally to the left. Find the maximum distance that the block will compress the spring after the collision.

Solution 44E Step 1: Mass of stone m = 3.0 kg 1 Mass of block m = 152kg Spring constant k = 500.0 N/m Initial velocity of stone u = 810 m/s Initial velocity of block u = 0 m/s 2 After collision Stone rebounds with velocity v = -2.0m1 (opposite direction -x)