A 12.5-g bullet is fired into and embeds itself in a 2.47-kg block attached to a spring with a spring constant of 21.2 N/m and whose mass is negligible. How far is the spring compressed if the bullet has a speed of 268 m/s just before it strikes the block, and the block slides on a frictionless surface? Hint: The collision between the bullet and the block is inelastic. Use conservation of momentum to find the velocity of the block after this collision. Then use conservation of energy to find how far the spring is compressed by the moving block?

16. a brave but inadequate rugby player is being pushed backward by an opposing player who is exerting a force of 800 n on him. the mass of the losing player plus equipment is 90.0 kg, and he is accelerating at 1.20m/s2 size 12{1 "." "20"" m/s" rsup { size 8{2} } } {} backward. (a) what is the force of friction between the losing player’s feet and the grass? (b) what force does the winning player exert on the ground to move forward if his mass plus equipment is 110 kg? (c) draw a sketch of the situation showing the system of interest used to solve each part. for this situation, draw a free-body diagram and write the net force equation.