You place a 1 g cube of 223ra into an insulated cup containing 0.100 kg of 18 °c water. 223ra is an alpha emitter with a half-life of 11.43 days. the mass of a 223ra is 223.018499u. the mass of 219rn is 219.009477. the mass of an alpha particle is 4.002602.(a) how much energy must the water absorb to just begin to boil? the specific heat of water is 4190 j/kg k. you can assume you are at sea level so the boiling point of water is 100 °c.(b) how much energy is released in a single 223ra alpha decay? (c) if no energy is lost to the environment, how many decays must occur before the water just starts boiling? (d) if no energy is lost to the environment, how much time elapses before the water just starts boiling?

Why cooking gas has a typical smell

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.

Photons with the highest energy have the longest period