The international space station has a mass of 4.2 x 105 kg and it orbits the earth at an average altitude of 400 km above the earth’s surface. the radius of the earth is 6400 km, and the mass of the earth is 6.0 x 1024 kg. assume the only force acting on the space station is the universal gravitational force, fg, and assume that the orbit is perfectly circular. how long would it take for the space station to make one complete orbit around the earth given these assumptions?

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?

What caused magnetic fields? what happens if you keep breaking a magnet in two until you reach a single atom?

Auniform bridge, 20 m long and weighing 40000 n is supported by two pillars located 3.0 m from each end. if a 19600 n car is parked 8.0 m from one end of the bridge, how much force does each pillar exert?