When lifting a load of 3000 kg with a hydraulic press, 500J work was performed. At that time, the small piston, driven by force, descended 10 times, 10cm each time. Calculate: a) the force exerted by the small piston; (b) how many times the area of ​​the large piston is greater than that of the small one. All the work was used to lift the load.​

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?