Choose the best coordinate system and find the volume of the solid region bounded by the cylinder requals6​, for 0less than or equalszless than or equalsxplusy. The surface is specified using the coordinates that give the simplest​ description, but the simplest integration may be with respect to different variables. Which coordinate system would be best for finding the specified​ volume?

How are calculation for velocity and speed different

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.

The necleus of an atom is made up of what subatomic particles?