Q1) a 1.2 kg block sliding on a horizontal frictionless surface is attached to a horizontal spring with k =480 n/m. let x be the displacement of the block from the position at which the spring is upstretched. at t = 0 the block passes through x = 0 with a speed of 5.2 m/s in the positive x direction. what are the (a) frequency and (b) amplitude of the block’s motion? (c) write an expression for x as a function of time

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?