Your boss at the cut-rate cuckoo clock company asks you whatwould happen to the frequency of the angular shm of the balancewheel if it had the same density and the same coil spring (thus thesame torsion constant), but all the balance wheel dimensions weremade one-third as great to save material. a)by what factor would the frequency change? b)would the frequency increase or decrease by the factor foundin part (a)? c)by what factor would the torsion constant need to be changedto make the smaller balance wheel oscillate at the originalfrequency? d)would the torsion constant need to be increased or decreasedby the factor found in part (c)?

Assume that two of the electrons at the negative terminal have attached themselves to a nearby neutral atom. there is now a negative ion with a charge -2e at this terminal. what are the electric potential and electric potential energy of the negative ion relative to the electron? the electric potential and the electric potential energy are both twice as much. the electric potential is twice as much and the electric potential energy is the same. the electric potential is the same and the electric potential energy is twice as much. the electric potential and the electric potential energy are both the same. the electric potential is the same and the electric potential energy is increased by the mass ratio of the oxygen ion to the electron. the electric potential is twice as much and the electric potential energy is increased by the mass ratio of the oxygen ion to the electron.