Calculate the minimum uncertainty in (a) the speed of a ball of mass 500 g that is known to be within 1.0 µm of a certain point on a bat, and (b) the position of a bullet of mass 5.0 g that is known to have a speed somewhere between 350.000 01 m s−1 and 350.000 00 m s−1 ?

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?