The density of lead is 1.13 ✕ 104 kg/m3 at 20.0°c. find its density (in kg/m3) at 130°c. (use α = 29 ✕ 10−6 (°c)−1 for the coefficient of linear expansion. give your answer to at least four significant figures.) hint

When many atoms are split in a chain reaction, a large explosion occurs. this is an example of what type of energy conservation

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.

If we relied solely on the nonrenewable resources found in the u.s., which one would we run out of first at current usage levels? a. natural gas b. oil c. uranium d. coal