Chapter 14.1, Problem 14.26P

In a scattering experiment, an alpha particle A is projected with the velocity $u_0=-\left(600\text{m/s}\right)\text{i+}\left(750\text{m/s}\right)\text{j}-\left(800\text{m/s}\right)\text{k}$ into a stream of oxygen nuclei moving with a common velocity $v_0=\left(600\text{m/s}\right)\text{j}$ . After colliding successively with the nuclei B and C, particle A is observed to move along the path defined by the points $A_1\left(280,240,120\right)$ and $A_2\left(360,320,160\right)$ while nuclei B and C are observed to move along paths defined, respectively, by $B_1\left(147,220,130\right)$ and $B_2\left(114,290,120\right)$ , and by $C_1\left(240,232,90\right)$ and $C_2\left(240,280,75\right)$ . All paths are along straight lines and all coordinates are expressed in millimeters. Knowing that the mass of an oxygen nucleus is four times that of an alpha particle, determine the speed of each of the three particles after the collisions.