A 2.50-kg textbook is forced against a horizontal spring of negligible mass and force constant 250 N/m, compressing the spring a distance of 0.250 m. When released, the textbook slides on a horizontal tabletop with coefficient of kinetic friction µk = 0.30. Use the work–energy theorem to find how far the text-book moves from its initial position before it comes to rest.

Solution 81P Step 1: Given data: Mass of text book m = 2.50 kg. Force constant k = 250 N/m Spring distance x = 0.250 m. Coefficient of kinetic friction k = 0.30 Step 2: Energy stored in spring E = 1/2 kx2 E = 1/2 (250 N/m)(0.250 m) 2 E = 7.8125 J