Double-paned thermal insulating windows consist of two glass panels separated by a narrow gap from which most of the air has been removed to create a near vacuum in the space between the panes. Explain how this design helps to better insulate a home than a window that is made from a single sheet of glass. a) The double-paned window allows for less heat loss through conduction. b) The vacuum between the two panes of glass acts as a very efficient insulator. c) The double-paned window allows for less heat loss through convection. d) The vacuum between the two panes of glass acts as a very efficient conductor.

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.

Explain what will happen if decomposers were apsent from a forest ecoysystem.

Which of the following list the divisions of the geologic time scale in order from longest to shortest