In the experiment, you will study an oscillator called a "torsion pendulum." in this case, the restoring "force" is the torsion constant of the wire that suspends the weight x and the inertial term is the rotational inertia of the suspended mass. you will compare the periods of a suspended sphere and of a suspended cube. the rotational inertia of a sphere is is = 110msd2, where ms is the mass of the sphere and d is its diameter. the rotational inertia of a cube is ic = 16mcs2, where mc is the mass of the cube and s is the length of its side. if the cube and the sphere are suspended from the same wire, what is the expected ratio of their periods, tc/ts? assume that d = s,

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?