020 (part 1 of 2) 10.0 points
Simpson drives his car with an average veloc
ity of 47.7 km/h to the east.
How long will it take him to drive 149 km
on a straight highway?
1. 3.01811
2. 3.08977
3. 3.35498
4. 2.83058
5. 3.22718
6. 3.16327
7. 2.96218
8. 3.41463
9. 3.12369
10. 3.27549
Answer in units of h
021 (part 2 of 2) 10.0 points
How much time would Simpson save by in-
creasing his average velocity to 71.3 km/h to
the east?
1. 53.6218
2. 33.5913
3. 90.3376
4. 82.7733
5. 62.0357
6. 76.4599
7. 86.7188
8. 103.119
9. 78.6778

Aparticle of mass m is projected with an initial velocity v0 in a direction making an angle α with the horizontal level ground as shown in the figure. the motion of the particle occurs under a uniform gravitational field g pointing downward. (a) write down the lagrangian of the system by using the cartesian coordinates (x, y). (b) is there any cyclic coordinate(s). if so, interpret it (them) physically. (c) find the euler-lagrange equations. find at least one constant of motion. (d) solve the differential equation in part (c) and obtain x and y coordinates of the projectile as a function of time. (e) construct the hamiltonian of the system, h, and write down the hamilton’s equations (canonical equations) of motion.

As part of an industrial process, air as an ideal gas at 10 bar, 400k expands at steady state through a valve to a pressure of 4 bar. the mass flow rate of air is 0.5 kg/s. the air then passes through a heat exchanger where it is cooled to a temperature of 295k with negligible change in pressure. the valve can be modeled as a throttling process, and kinetic and potential energy effects can be neglected. (a) for a control volume enclosing the valve and heat exchanger and enough of the local surroundings that the heat transfer occurs at the ambient temperature of 295 k, determine the rate of entropy production, in kw/k. (b) if the expansion valve were replaced by an adiabatic turbine operating isentropically, what would be the entropy production? compare the results of parts (a) and (b) and discuss.

What’s #16 asking and how do i solve it?