Compute the longitudinal tensile strength of an aligned glass fiber-epoxy matrix composite in which the average fiber diameter and length are 0.0145 mm (0.57 × 10^-4 in.) and 1.46 mm (0.057 respectively, and the volume fraction of fibers is 0.38. assume that (1) the fiber-matrix bond strength is 100 mpa (14,500 psi), (2) the fracture strength of the fibers is 3500 mpa (5 × 10^5 psi), and (3) the matrix stress at composite failure is 5.5 mpa (800 psi)

An engineer designs a roller coaster so that a car travels horizontally for 162 ft, then climbs 127 ft at an angle of 31.0° above the horizontal. it then moves 127 ft at an angle of 46.0° below the horizontal. if we take the initial horizontal motion of the car to be along the +x-axis, what is the car's displacement? (give the magnitude of your answer, in ft, to at least four significant figures and give the direction of your answer in degrees counterclockwise from the +x-axis.)

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An insulated 40 ft^3 rigid tank contains air at 50 psia and 120°f. a valve connected to the tank is now opened, and air is allowed to escape until the pressure inside drops to 25 psia. the air temperature during this process is kept constant by an electric resistance heater placed in the tank. determine the electrical work done during this process.