A particle has an initial speed vo. It makes a glancing collision with a second particle of equal mass that is stationary. After the collision the speed of the first particle is v and it has been deflected through an angle 8. The velocity of the second particle makes an angle ß with the initial direction of the first particle. Using the conservation of linear momentum principle in the x- and y-directions, respectively, show that tan ß = v sin 8/(vo - v cos 0) and show that if the collision is elastic, v Vo cos 0 B m Before collision m Vo m m After collision I

A particle has an initial speed vo. It makes a glancing collision with a second particle of equal mass that is stationary. After the collision the speed of the first particle is v and it has been deflected through an angle 8. The velocity of the second particle makes an angle ß with the initial direction of the first particle. Using the conservation of linear momentum principle in the x- and y-directions, respectively, show that tan ß = v sin 8/(vo - v cos 0) and show that if the collision is elastic, v Vo cos 0 B m Before collision m Vo m m After collision I