In a playground there is a small merry-go-round of radius 1.48 m and mass 175 kg. The radius of gyration is 0.944 m. A child of mass 41.8 kg runs at a speed of 3.64 m/s tangent to the rim of the merry-go-round while it is at rest, and then jumps on. Find the angular velocity (in radians/second) of the merry-go-round and child together. Neglect friction.

To create electromagnetic induction, which of the following has to move? a. a wire b. a magnet c. a transformer d. either a or b

Which fact supports the conclusion that there will be fewer farm managers in the future? a) a farmer manager’s duties vary by the type of farm. b) farm technology is replacing some administrative jobs c) farm managers often need experience but not education. d) administrative duties include budgeting and training staff.

Arigid tank is divided into two equal parts by a partition. one part of the tank contains 3 kg of compressed liquid water at 400 kpa and 60°c while the other part is evacuated. the partition is now removed, and the water expands to fill the entire tank. determine the entropy change of water during this process, if the final pressure in the tank is 40 kpa. use steam tables.