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consider a spacecraft that is positioned directly between the earth and moon.the mass of the moon's is approximately 7.35 X10^22 kg, and at the instant under consideration, the moon is 3.8 X 10^8 km from earth. Determine the distances the spacecraft must be from the earth and moon for the gravitional force of the earth on the spacecraft to the same as the gravitational force of the moon in the spacecraft
a child is flying a kite at a height of 40 ft and the kite is moving horizontally at a rate of 3 ft/sec. if the string is taut, at what rate is the string being paid out when the length of the string is 50 feet.
The volume of a sphere is V=4/3pir^3. Prepare a table of volume versus radius which allows the radius to vary from 2.0 to 10.0 cm in 1 cm increments. Plot the data as a graph on log log paper showing the volume to radius relation
Water flows past a triangular flat plate oriented parallel to the free stream as shown. Integrate the wall shear stress over the plate to determine the friction drag on one side of the plate. Assume laminar boundary layer flow.
Calculate the compacted cubic yards per hour if a compactor with a 5-ft drum width travels at 3 mph over a 10-in. lift of aggregate base course with 4 passes required to meet density specifications under average operating conditions.
If the pipe lengths ar L1 = 3000ft, L2 = 2200, and L3 = 1600 ft the respective pipe diameters are 15,10, and 18in, and the surface water elevations of two of the three reservoirs are A = 125ft and B = 55ft, find the surface water elevation of Rese..
The saturated unit weight of the clay is 20kN/m 3 and that of the sand 19 kN/m 3 ; above the water table the unit weight of the sand is 16.5 kN/m 3 . Calculate the effective vertical stresses at the top and bottom of the clay layer.
Given the binary variables x1,x2,x3,x4 and x5, formulate a set of constraints that will enforce x3,x4, and x5 to equal one if x1=1 and x2=0.
A particle which moves in two-dimensional motion has coordinates given in inches by x=t^2-4t+20 and y=3sin2t, where the time t is in seconds. Determine the magnitudes of the velocity v and the acceleration a and the angle between these two vectors..
An investor is considering buying a 20-year corporate bond. The bond has a face value of $1000 and pay 6% interest per year in two semiannual payments. To receive 8% interest, compounded semiannually, how much should be paid for the bond
A water tank has a height of 120m, and its area of cross-section is 2000m. Water is released from the tank and the water level drops by 1 meter every minute. Find the rate of change in volume.
Two toll booths are open and each can process arrivals (collect tolls) at a mean rate of 12 seconds per vehicle ( the processing time is also exponentially distributed). What is the total time spent in the system by all vehicles in a 1 hour period
what pH is required to precipitate all but 0.20 mg/L of iron from a raw water with an Fe 3+ concentration of 2.1 mg/L Assume the temperature is 25 C. The reaction isFe(OH)^3 = Fe + 3 OH^- and pKs= 38.57
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