An aluminum block weighing 28 kg initially at 140°c is brought into contact with a block of iron weighing 36 kg at 60°c in an insulated enclosure. determine the final equilibrium temperature and the total entropy change for this process. the specific heat of aluminum at 400 k is cp 0.949 kj/kg-k. the specific heat of iron at room temperature is cp 0.45 kj/kg-k

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.

Agas expands from an initial volume of 0.040 m^3 and an initial pressure of 210 kpa to a final volume of 0.065 m^3 while its temperature is kept constant. how much work is done by the system?

If the ama of the inclined plane below is 2, calculate the ima and efficiency. ima = efficiency =