There has been renewed interest in pneumatic tube transportation systems (e. g., the Hyperloop®). These systems evacuate most of the air from sealed cylinders, and typically the passenger capsules float on air; both of these factors minimize drag. The passenger capsule starts from rest and climbs 1250 feet over a mountain pass. Knowing that the weight of a passenger capsule is 51400 lb, determine the amount of energy the linear induction motors will need to supply if the capsule is traveling 300 mi/h at the top of the pass.

The diagram shows a series of volcanic island and a hot spot determine the direction of movement of the tectonic plate that for the island

Engines for propeller-driven aircraft are limited in their maximum rotational speed by the fact that the tip speed of the propeller must not approach the speed of sound in air (mach i). taking 6 ft as a typical diameter for a propeller of a light airplane and 1100 fils as the speed of sound, find the upper limit on the rpm (revolutions per minute) of the propeller shaft.

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?