A safety bumper is placed at the end of a racetrack to stop out of control cars. The bumper is designed such that the force that the bumper applies to the car is a function of velocity (v) and displacement (x) of the front edge of the bumper. dv/dx = -Kv2(x + 1)3/dx
where K-30 s kg/m 5
m = 1500 kg
x varies from 0 to 3 meters
v(0) = 90 km/lh
Solve the ODE to calculate the velocity as a function of distance from the moment of impact (x-0) to full compression (x-3 m). Plot the results with appropriate axis labels.

Which from the following instrument is commonly used to detect the high pitch butzing sound in bearings? [clo4] a)-digital ultrasonic meter b)-infrared camera c)-spectroscopic d)-vibrometer

Ahe-xe mixture containing a 0.75 mole fraction of helium is used for cooling electronics in an avionics application. at a temperature of 300 k and atmospheric pressure, calculate the mass fraction of helium and the mass density, molar concentration and molecular weight of the mixture. if the cooling capacity is 10 l, what is the mass of the coolant?

An external consultant recommends that a plant installs a bank of capacitors for power factor correction. this will reduce the peak electrical demand charges by an average of 93 kw every month. the plant current pays $13 per kw in peak demand charges. the capacitor bank will include 223 kw of fixed capacitors, and 183 of variable capacitors. the fixed capacitors cost $59 per kw, and the variable capacitors will cost $65 per kw. the consultant charges 21% of the equipment costs to install the capacitors. because this project will reduce the demand for the electric utility, they are prepared to provide a one-time rebate of $42 per kw of reduced demand. what is the simple payback period for this project (in years)?