Assume the population of a large city like new york city is about 4 × 10^6 people, with about 1.97 people per household. approximately 1 household in 16.1 has a piano. the piano keyboard has about 64 notes (8 octaves) with about 2 strings per note. a piano should be tuned once per year (365.25 days). a piano tuner can tune about 3 pianos per day. and, finally, pianos tuners work 250 days per year. how many pianos tuners are there in new york city?

The great sandini is a 60.0-kg circus performer who is shot from a cannon (actually a spring gun). you don’t find many men of his caliber, so you him design a new gun. this new gun has a very large spring with a very small mass and a force constant of 1100 n/m that he will compress with a force of 4400 n. the inside of the gun barrel is coated with teflon, so the average friction force will be only 40.0 n during the 4.00 m he moves in the barrel. at what speed will he emerge from the end of the barrel, 2.50 m above his initial rest position?