3. (15 pts) A thin hoop (I = MR2) is rolling down a ramp. It then travels around a vertical loop of radius 25.0 cm. In order for the hoop not to lose contact with the hoop at the top, what minimum speed must it have at a point on the ramp that is 10.0 cm above the top of the loop? 4. (15 pts) Water is flowing through a horizontal pipe of diameter of 25.0 cm' with a volume ow rate of 0.15 msfs. It then travels up a vertical pipe of height 10.0 m. At the top of that pipe, the water is ejected horizontally into the air at just the right speed for it to land a horizontal distance of 12.0 m away from the vertical pipe. Find the pressure in the horizontal pipe. (Note: The density of water is 1.00 x103 kg/m3, and 1 atm =1.01x105 Pa