Alarge pendulum with a 200-lb gold plated bob 12 inches in diameter is on display in the lobby of the united nations building. the pendulum has a length of 75 ft. it is used to show the rotation of the earth—for this reason it is referred to as a foucault pendulum. part a) if the pendulum were to be taken to the moon, where the acceleration of gravity is g/6, would the period increase, decrease, or stay the same?

part b) check your result in part a by calculating the period of the pendulum on the moon.

Consider an ordinary, helium-filled party balloon with a volume of 2.2 ft3. the lifting force on the balloon due to the outside air is the net resultant of the pressure distribution exerted on the exterior surface of the balloon. using this fact, we can derive archimedes’ principle, namely that the upward force on the balloon is equal to the weight of the air displaced by the balloon. assuming that the balloon is at sea level, where the air density is 0.002377 slug/ft3, calculate the maximum weight that can be lifted by the balloon. note: the molecular weight of air is 28.8 and that of helium is 4.

There are two routes similar in terrain; however, one route has an incline of approximately 28 degrees, and you must decide on which route to take. what is the maximum road grade that your fully loaded ecv can climb?

Aplane flying horizontally at an altitude of 1 mile and a speed of of 500mih passes directly over a radar station. find the rate at which the distance from the plane to the station is increasing when it is 2mi away from the station.