Suppose a woman does 500 J of work and 9500 J of heat transfer occurs into the environment in the process. a. What is the decrease in her internal energy, assuming no change in temperature or consumption of food?
b. What is her efficiency?

How does convection affect our atmosphere? our layers of earth? our oceans?

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.

Acar drives toward the right over the top of a hill, as shown below. which arrow represents the centripetal acceleration? w x y z