During the production of biodiesel, glycerin is a waste product and is collected by gravity separation because its sg (1.26) is much higher than that of biodiesel. glycerin is withdrawn from the bottom of the separation tank through a pipe that has p1 = 350 kpa gage, where d = 70 cm and the flowrate is 680 l/s. find the pressure at section 2, which is 0.8 m higher and where the diameter has been reduced to d = 35 cm. assume the flow is inviscid. (gravity acceleration: g = 9.81 m/s2)

Ogle–2013–blg–0723 is an exoplanet that is similar to earth in size and proximity to its star. this exoplanet has mass m=4.18×1024kg and radius r=5.66×106m. an astronaut whose weight on earth is w=735n lands on the planet. a. calculate m, the mass of the astronaut. b. calculate gp? , the acceleration due to gravity on the surface of ogle–2013–blg–0723. c. calculate wp? , the weight of the astronaut on the surface of ogle–2013–blg–0723. d. calculate v, the minimum velocity required to put an object into orbit above ogle–2013–blg–0723. e. calculate t, the time required to complete an orbit around ogle–2013–blg–0723.

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Identify the theory that can be used to explain each phenomenon. answers diffraction: wave theory interference: wave theory reflection: both particle and wave theories refraction: both particle and wave theories