You have been hired as an engineer to design new wireless headphones for a smartphone company. In one paragraph, using your own words, describe how you would utilize the engineering design process to create your product. The paragraph must be at least 4 sentences.

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.

Which accurately compares concave and convex lenses?

Find the mass by adding the numbers from the three sliders