Amagnet of mass 0.10 kg is dropped from rest and falls vertically through a 25.0 cm copper tube. eddy currents are induced, causing the copper to warm up. the speed of the magnet as it emerges from the tube is 1.40 m/s. how much heat energy is dissipated to the environment?

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 a balloon is taken outside on a very cold day, what will occur?

The speed of light can be used to measure the