6. the hole on a level, elevated golf green is a horizontal distance of 150 m from the tee and at an elevation of 12.4 m above the tee. a golfer hits a ball at an angle of 8.6° above the horizontal and makes a hole-in-one! what was the initial speed of the ball?

Athin electrical heater is inserted between a long circular rod and a concentric tube with inner and outer radii of 20 and 40 mm. the rod (a) has a thermal conductivity of ka = 0.15 w/(m*k), while the tube (b) has a thermal conductivity of kb = 0.8 w/(m*k) and its outer surface is subjected to convection with a fluid of temperature t= -15°c and heat transfer coefficient 60 w/(m2 *k). the thermal contact resistance between the cylinder surfaces and the heater is negligible. (a) determine the electrical power per unit length of the cylinders (w/m) that is required to maintain the outer surface of cylinder b at 15°c. (b) what is the temperature at the center of cylinder a?

Calculate the number of pounds of co2 released into the atmosphere when a 10.0 gallon tank of gasoline is burned in an automobile engine. assume that gasoline is primarily octane, c8h18, and that the density of gasoline is 0.692 g⋅ml−1. this assumption ignores additives. also, assume complete combustion.

Astream that is 3 wt% b and the 97 wt% c, and a stream that contains only a and b (5,300 kg/hr total), are fed to a column. three product streams emerge: the overhead is 100% a. the bottom stream is 60 wt% b and 40 wt% c. the middle stream is 70 wt% a and the rest b and c and flows at 1,200 kg/hr. how many material balances can be written on the overall system?