Johnny Jumper's favorite trick is to step out of his 16th story window and fall 50.0 m into a pool. A news reporter takes a picture of 73.5 kg Johnny just before he makes a splash, using an exposure time of 3.95 ms. a) Find Johnny's de Broglie wavelength at this moment. b) Find the uncertainty of his kinetic energy measurement during such period of time. c) Find the percent error caused by such an uncertainty.

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 statement correctly describes the relationship between frequency and wavelength?

The cerebellum controls? thirst sensations sleep-wake cycles hand-eye coordination heart rate and pulse