SAMPLE PROBLEM 2 7 An alpha particle the nucleus of a helium

Last updated: 6/18/2023

SAMPLE PROBLEM 2 7 An alpha particle the nucleus of a helium atom travels along the inside of an evacuated straight tube 2 0 m long that forms part of a particle accelerator The alpha particle enters the tube at 0 moving at a velocity 9 5 X 105 m s and emerges from the other end at time t 8 0 x 10 s a If the particle s acceleration is constant what is the accelera tion b What is its velocity when it leaves the tube Solution a We choose the x axis to be along the tube with its positive direction to be that of the motion of the particle and we take the origin to be at the entrance of the tube so that x 0 We can find the acceleration by solving Eq 2 28 for a Data a y yo Voyt 1 2 a t y 0 x voxt Result x 2 0 m Vox 9 5 x10 m s t 8 0 x 10 s Substitute for x Vox and t and calculate a b To find the velocity as the particle leaves the tube we use Eq 2 26 Vx Vox axt Substitute for ax Vox and t and calculate v m s m s