The golden gate bridge is made of steel and has a span of 1300 m. how much does its length change over the course of a year? assume the temperature range f the bridge is between 0 degrees c and 30 degrees c.

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 two particles are found in the center of an atom

The three classes of rocks are sedimentary, metamorphic, and igneous. how are rocks classified into one of these three groups?