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
In the above question the maximum power delivered by the agent in pulling up the rope is...A bullet of mass m moving vertically upwards instantaneously with a velocity ′u′ hits the hanging block of m...In which of the following cases the centre of mass of a system is certainly not at its centre ?...An external force acts on a system of particles. The velocity and the acceleration of the centre of mass are found to be...A 500 kg boat has an initial speed of 10 ms-1 as it passes under a bridge. At that instant a 50 kg man jumps straight do...