Our sun is a low mass main sequence star at the middle of its life cycle. explain how the appearance of the sun's location on the hr diagram will change as it continues to the end of its life cycle.

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.

Juliette sets the initial velocity to +10 m/s, the acceleration to zero, and clicks “start.” how can shakina describe the subsequent motion of the car juliette controls?

Adiagram show how a converging lens can produce a real image and virtual image