[SHOW YOUR WORK] A 2000 kg car at rest at the top of a 1000 meter high hill rolls down to the bottom. a) Assuming no friction is acting to slow
down the car as it rolls down the hill, how fast is it going when it reaches
the bottom of the hill? b) Assuming that there is friction stopping the car
when it reaches the bottom of the hill - how much work is done to stop
the car? c) How much friction force is required to stop the car in 100
meters?

Need people build a dam to create a reservoir that supplies water a nearby city needs. describe two ways this action will likely affect the water cycle in the local environment. (5 points) worth 20 points

Coal contains energy. a. light b. kinetic c. chemical d. mechanical

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?