Two children are riding on a merry-go-round that is rotating with a constant angular speed. abbie is one meter from the center of the merry-go-round, whereas zak is two meters from the center. abbie’s acceleration is zak’s acceleration.

Matter is needed to transfer thermal energy bya. conductionb. convectionc. radiation d. both a & b.

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.

Consider a double atwood machine constructed as follows: a mass 4m is suspended from a string that passes over a massless pulley on frictionless bearings. the other end of this string supports a second similar pulley, over which passes a second string supporting a mass of 3m at one end and m at the other. using two suitable generalized coordinates, set up the lagrangian and use the lagrange equations to find the acceleration of the mass 4m when the system is released. explain why the top pulley rotates even though it carries equal weights on each side.