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A ball is dropped from a boat so that it strikes the surface of a lake with a speed of 19.5ft/s. While in the water the ball experiences an acceleration of a = 10 - 0.8v, where a and v are expressed in ft/s^2 and ft/s, respectively. Knowing the ball takes 3 s to reach the borrom of the lake, determine (a) the depth of the lake, (b) the speed of the ball when it hits the bottom of the lake.
A satellite would have a mass of 200 kg on the surface of the moon. Determine the weight of the satellite in pounds when it is in orbit 10,000 mi. above the surface of the earth.
Draw a graph showing the effluent concentration as a function of time for : a. Zero order CMFR and PFR with the same influent concentration and reaction rate. b. First order CMFR and PFR with the same influent concentration and reaction rate.
All the silt is saturated even after the water table is lowered. (In this problem, treat the unit weight above the water table as bulk unit weight and the unit weight below the water table as saturated unit weight.)
A fluid film 0.1 mm thick separates solid and surface. The fluid viscosity is 0.04 N*sec/m^2. Assuming the velocity distribution in the film is linear, find the terminal velocity of the block. The area of the cube in contact with the film is 0.25 ..
An oil-storage area was abandoned 18 years ago. Oil spilled on the ground had saturated the soil at a concentration of 400mg/Kg of soil. A fast food chain now wants to build a restaurant at the site, and samples the soil for contaminant
Write out the continuity and momentum equations that govern the surge travelling downstream. (Note: assume that the surge velocity exceeds the water velocity)
According to a settlement analysis, the weight of this fill will cause 600 mm of the total settlement over a period of 30 years. The differential settlement will probably be about 100mm. Although the building could be supported on spread footing f..
The heat exchanger consists of 12 m of copper tubing that is 2 cm in diameter with 19 return bends. The flow rate is 3 x 10-4 m3/s. Water enters at 20 C and exits at 80 C. The elevation difference between the entrance and the exit is 0.8 m.
suppose 76% of all commuters ride to work in carpools. if eight workers are randomly selected, find the probability that at least 7 will ride in carpools
A 1600-ft-long sag vertical curve (equal tangent) has a PVC at station 120+00 and elevation of 1500 ft. The initial grade is -3.5% and the final grade is +6.5%. Determine the elevation and stationing of the low point, PVI and PVT.
(a) Derive equations for the shear force V and the bending moment M for segments: AB, AC and AD (Place the origin at point A). (b) Plot the shear-force and bending-moment diagrams for the beam using the derived functions.
Using a design speed of 50 mi/h, determine the stations and elevations of PVCs, PVIs, and PVTs of the two vertical curves required to connect the highway segments, as well as the length of the constant grade section (connecting grade is to be as s..
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