You are at the controls of a particle accelerator, sending a beamof 2.60 multiplied by107 m/s protons (mass m) at a gas target of anunknown element. Your detector tells you that some protons bouncestraight back after a collision with one of the nuclei of theunknown element. All such protons rebound with a speed of2.20 multiplied by107 m/s. Assume that the initial speed of the targetnucleus is negligible and that the collision is elastic.
(a) Find the mass of one nucleus of the unknown element.Express you answer in terms of the proton massmp.
(b) What is the speed of the unknown nucleus immediately after sucha collision?
m/s