Adock worker pushes a 150.0 kg crate up a ramp that is 3.00 m high and 10.00 m long into the cargo bay of a ship. he exerts a 800.0 n force parallel to the ramp. find both the mechanical advantage and ideal mechanical advantage of the ramp. what is the efficiency of the ramp?

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?