Acontainer of water, diameter 12 cm, has a small opening near the bottom that can be unplugged so that the water can run out. if the top of the tank is open to the atmosphere, what is the exit speed of the water leaving through the hole. the water level is 15 cm above the bottom of the container. the center of the 3.0 diameter hole is 4.0 cm from the bottom. how long does it take the water to hit the ground? how far from the container will the water land?

Cyclotrons are widely used in nuclear medicine for producing short-lived radioactive isotopes. these cyclotrons typically accelerate h- (the hydride ion, which has one proton and two electrons) to an energy of 5 mev to 20 mev. this ion has a mass very close to that of a proton because the electron mass is negligible—about 1 2000 of the proton’s mass. a typical magnetic field in such cyclotrons is 1.9 t. (a) what is the speed of a 5.0-mev h-? (b) if the h- has energy 5.0 mev and b = 1.9 t, what is the radius of this ion’s circular orbit?