Center of MassHard
Question
A ball is bouncing down a set of stairs. The coefficient of restitution is e. The height of each step is d and the ball bounces one step at each bounce. After each bounce the ball rebounds to a height h above the next lower step. Neglect width of each step in comparison to h and assume the impacts to be effectively head on. Which of the following relation is correct ? (given that h > d)
Options
A.
= 1 − e2
= 1 − e2B. = 1 − e
= 1 − eC. = 
= D. = 
= Solution
Velocity of the ball on striking = 
After that ball goes to height less than (h) due to inelastic collission =
= e
h − d = e2h ⇒
= 
After that ball goes to height less than (h) due to inelastic collission =
= eh − d = e2h ⇒
= Create a free account to view solution
View Solution FreeMore Center of Mass Questions
Two blocks of masses m and M are moving with speeds v1 and v2 (v1 > v2) in the same direction on the frictionless sur...The fig. shows a string of equally spaced beads of mass m, separated by distance d. The beads are free to slide without ...A ball moves in a closed box making several collisions with the walls. The box is kept on a smooth surface. The velocity...A machinist starts with three identical square plates but cuts one corner from one of them, two corners from the second,...A train of mass M is moving on a circular track of radius ′R′ with constant speed V. The length of the train...