Consider a particle with mass m and angular momentum l in the field of a central force f= ? k/(r^(5/ to simplify your equations, choose units for which m=l=k=1.a) find the value r0 of r at which ueff is a minimum and make a plot of ueff(r) for 0\leq< 5r0.b) assuming now that the particle has energy e=-0.1 find an accurate value of rmin, the particle's distance of closest approach to the force center. c) assuming that the particle is a r= rmin when ? =0 use a computer program to solve the transformed radial equation and find the orbit in the form r= for ? . plot the orbit. does it appear to be closed?

On a average work day more than work place firs are reorted

Acertain flow of air (at stp) has a velocity distribution given by v i (in ft/s). if this flow is going through a 4 ft square area in the yz-plane (centered at the origin), what is the mass flow rate (in lbm/s)?

A3-mm-thick panel of aluminum alloy (k 177 w/m-k, c 875 j/kg-k and ? = 2770 kg/m) is finished on both sides with an epoxy coating that must be cured at or above t,-150°c for at least 5 min. the production line for the curing operation involves two steps: (1) heating in a large oven with air at ts,0-175°c and a convection coefficient of h, 40 w/m2. k, and (2) cooling in a large chamber with air at 25°c and a con- vection coefficient of he 10 w/m2.k. the heating portion of the process is conducted over a time interval te which exceeds the ime required to reach 150°c by 5 min (h = r + 300 s). the coating has an emissivity of ? = 0.8, and the temperatures of the oven and chamber walls are 175 and 25°c, respectively. if the panel is placed in the oven at an initial temperature of 25°c and removed from the chamber at a safe-to-touch tempera ture of 37°c, what is the total elapsed time for the two-step curing operation?