A particle is projected on a frictionless inclined plane of inclination 37 ° at an angle of projection 45 ° from the inclined plane as shown in the figure. If after the first collision from the plane, the particle returns to its point of projection, then what is the value of the reciprocal of the coefficient of restitution between the particle and the plane?

Step-by-step solution

While going upward the time of flight is T = 2 usinα gcosβ So the range on the inclined plane is R = ucosα T - 1 2 gsinβ T 2 Just after the collision of the projectile with the inclined plane, the components of its velocity down the inclined plane and perpendicular to the inclined plane are v ∥ = gsinβ T - ucosα , v ⊥ = eusinα The time of flight while going down the inclined plane is T ' = 2 eusinα gcosβ = eT The range of the projectile while going down is R