A15.0 kg block at rest on a horizontal frictionless surface is attached to a very light ideal spring of force constant 450 n/m. the other end of the spring is attached to a fixed wall. a lump of putty travels horizontally with a speed of 8.00 m/s towards the block from the side directly opposite the spring. the putty strikes and sticks to the block. what is the maximum distance the spring is compressed after the impact? be sure to identify the conservation law you use to analyze each stage of this process and to tell why you use it.

You are the coordinator for a program that is going to take place at night in a rectangular amphitheater in the mountains. you will have no access to any electricity, but you must be able to illuminate the entire grounds. you know the intensity of the light from a lantern varies inversely as the square of the distance from the lantern. suppose the intensity is 90 when the distance is 5 m. a. write an equation to model the situation. b. solve for the constant of variation. c. write the equation to model the situation using the constant () of variation. d. you have been given lanterns with 40 light intensity. use your equation to solve for the distance from the lantern. e. you need to illuminate 225 km. how many meters do you need to light? f. how many lanterns will you need?