In Archimedes’ principle experiment, the weight of the object was measured in air and recorded (1.083 N). The object was placed in water, and the apparent weight of the object was measured to be 0.873 N. Determine the density of the object (in kg/m3). (density of water is 1.00 x 103 kg/m3 and g = 9.80 m/s2)

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?