A 4.8 kg weight, mw, slides down a frictionless ramp that is at an angle of  = 22 with respect to the horizontal. The weight is attached to a massless string, which in turn is threaded over a pulley (solid disk) of radius rp = 4.5 cm and mass mp = 0.55 kg. The string is then wound around a thin hollow metal cylinder (hoop) of radius rc = 9.4 cm and mass mc = 8.6 kg. Assuming the wheel starts from rest, find its velocity after it has traveled a distance s = 15 cm down the ramp.

Acharge of 8.4x10^-4 c moves at an angle of 35 degrees to a magnetic field that has a field strength of 6.7x10^-3 t. if the magnetic force is 3.5 x10 ^-2 n, how fast is the charge moving?

Your starship, the aimless wanderer, lands on the mysterious planet mongo. as chief scientist-engineer, you make the following measurements: a 2.50-kg stone thrown upward from the ground at 14.0 m/s returns to the ground in 5.70 s ; the circumference of mongo at the equator is 2.20×10^5 km ; and there is no appreciable atmosphere on mongo. (a) the starship commander, captain confusion, asks for the following information: what is the mass of mongo? (b) if the aimless wanderer goes into a circular orbit 2.20×10^4 km above the surface of mongo, how many hours will it take the ship to complete one orbit? (c) an unmanned spacecraft is in a circular orbit around the moon, observing the lunar surface from an altitude of 44.0 km . to the dismay of scientists on earth, an electrical fault causes an on-board thruster to fire, decreasing the speed of the spacecraft by 23.0 m/s . if nothing is done to correct its orbit, with what speed (in km/h) will the spacecraft crash into the lunar surface?

What organization and environment is described above?