An educational toy company, “EPH Swartz!” is looking for a new toy that will revolutionize the toy market. Your job is to design and construct a creative toy based on physics that you feel will be widely in demand and increase revenue for the company and you do a write-up paper that includes how the idea arose for the toy (1Page), a description of the physics behind the toy’s function & GPS correlation, extremely detailed (at least 2Pages) and instructions for how to use the toy or play the game (must be clear and precise).

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.

What happens when chlorine reacts with bromine? a. electrons move from the chlorine atoms to the bromine atoms. b. electrons move from the bromine atoms to the chlorine atoms. c. electrons are shared between the chlorine atoms and the bromine atoms. d. electrons become delocalized among the atoms.

Drag each item into the proper state of matter category.