Consider the two rotating pulley-like systems above. They are identical in every way EXCEPT the mass of the pulley on the left is concentrated on the outside edge (ring or hoop shape), while the mass of pulley on the right is evenly distributed throughout the pulley (disc or cylinder shape). Given R =0.15m, M =0.6 kg, and m= 0.5 kg. Both pulley systems are initially at rest and the block masses are a height of 0. 8m above the ground. Required:
a. If both masses are released at the same time, which pulley will hit the ground first?
b. If both masses are released at the same time, which pulley will hit the ground first?

Suppose that two tanks, 1 and 2, each with a large opening at the top, contain different liquids. a small hole is made in the side of each tank at the same depth 1.57 m below the liquid surface, but the hole in tank 2 has 2.49 times the cross-sectional area of the hole in tank 1. (a) what is the ratio ρ1/ρ2 of the densities of the liquids if the mass flow rate is the same for the two holes? (b) what is the ratio rv1/rv2 of the volume flow rates from the two tanks? (c) at one instant, the liquid in tank 1 is 14.9 cm above the hole. if the tanks are to have equal volume flow rates, what height above the hole must the liquid in tank 2 be just then?

Which of these is the best way to manage a natural resource

Asailboat is traveling to the right when a gust of wind causes the boat to accelerate leftward at 2.5m/s2 for 4s. after the wind stops, the sailboat is traveling to the left with a velocity of 3.0m/s.assuming the acceleration from the wind is constant, what was the initial velocity of the sailboat before the gust of wind? answer using a coordinate system where rightward is positive.