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1.A mass on a spring has an acceleration given as follows: a= -10 (1/?sec?^2 ) x where x is the displacement of the mass in meters. If the initial position is -1 m and the initial velocity is +1 m/sec, find: (i) the velocity when x = 0 for the first time and (ii) the maximum and minimum values of x.
2.A stone A is dropped from rest down a well, and in 1 second another stone B is dropped from rest. Determine the distance between the stones another second later.
3.A 6.6 mA current is flowing through a 47 kilo-Ohm, 5% tolerance, 2-watt resistor. If the resistor values are uniformly distributed, how many resistors out of a package of 100 would you expect to burn up? At what value of resistances are you OK?
4.Water is pumped 9 mi from a reservoir at elevation 100 ft to a second reservoir at elevation 210 ft. The pipeline connecting the reservoirs has a 54-in diameter. It is concrete and has an absolute roughness of 0.003. If the flow is 25 mgd and pumping station efficiency is 80%, what will be the monthly power bill if electricity costs 3 cents/kwh?
The initial conditions of the helium are 7 ft^3, 80 psia, and 100 F. The helium expands reversibly according to process PV^1.5=C until the pressure reaches 15 pisa.
A section of a road has a superelevation of .6% and a curve of 600ft radius. What speed limit will you recommend at this section of the highway
In a study it was found that 39% of the bacteria died within 9 hoursand 67% died within 20 hours. If the rate of andwer proportional to the number remaining, how long would it take to obtain a 99.9% reduction in the bacteria
An electronic chip internally generates 1.5 Watts of heat energy that must be dissipated to ensure its reliable operation. A fan, with an exposed area of 10cm^2 is attached to the chip so the heat can be transferred away by convection.
At an angle of α=30°with the vertical, a 5kg sphere is suspended on a string of length .8m with a initial velocity of 1.2m/s, it colides with wedge B. ε=.7 between the .9kg wedge and sphere A.
An energy efficiency project has a first cost of $300,000, A life of 10 years, and no salvage value. Assume that the interest rate is 9%. The most likely value for annual savings is $60,000. The optimistic value for annual savings is $80,000 with a p..
To avoid shrinkage cracks in the grout, what should be the total expansion and total bleeding in term of percentage for the grout?
the cash flow sequence $70+4k, where k is in years and cash flow is in $1000. What is the future work of the entire cash flow series in year 10 at 10% per year
1.what would the bc ratio be if the light poles were twice as far apart as assumed above?2. what is the ratio of night
calculate the X, Y and Z coordinates of point B for radial readings taken to B from occupied station A, if the backsight azimuth at A is 25°32'48", the elevation of A = 610.098 m, and hi = 1.45 m.
A new sports car has a drag coefficient of .30 and a frontal area of 21 ft^2, and is traveling at 110 mi/h. How much power is required to overcome aerodynamic drag if p=.002378 slugs/ft^3?
The Golden Gate Bridge has a main span of 4200 ft, a sag of 470 ft, and a total static loading of 21,300 lb/linear foot. Calculate the max tension, min tension, and the total length of cable.
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