I have a single plank of wood that is 6 meters long, and a rock I can use as a fulcrum. I make a lever with a mechanical advantage of 2.

a) I place an 80N bottle on the output end of this lever. With how much force will I have to push on the input end in order to lift this bottle?

b) Draw and label a diagram that shows this lever. Label the input and output arms, as well as the fulcrum. Draw the 80N bottle on the output arm.

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?