A1230kg car pushes a 2160kg truck that has a dead battery. when the driver steps on the accelerator, the drive wheels of the car push against the ground with a force of 4590n . take the friction between the truck's tires and the ground to be 470n .

what is the magnitude f_cont of the force that the car exerts on the truck? use the coordinate system shown in part b, where upward is the positive y direction and to the right, the direction f_cont points, is the positive x direction.

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?