A tennis ball bounces down a flight of stairs striking each step in turn and rebounding to the height of the step above . The coefficient of restitution is
Text Solution
Verified by Experts
Let `h=`height of ceiling `implies` speed before the first impact `=sqrt(2gh)` `implies` speed after the first impact `=esqrt(2gh)` the ball comes back for the second impact. Before the second impact, speed `=esqrt(2gh)` after the second impact, speed `=e^(2)sqrt(2gh)` Height attained `=u^(2)/(2g)impliesh/2=([e^(2)sqrt(2gh)]^(2))/(2g)impliesh/2=(e^(4)(2gh))/(2g)` `=e=1/root(4)(2)`
A tennis ball bounces down a flight of stairs, striking each step in turn and rebounding to half to height of the step. The coefficient of restitution is
A ball falls on the ground fro a height of 2.0 m and rebounds up to a height of 1.5 m. Find the coefficient of restitution.
A ball is dropped from a height of 20 m in the floor and rebounds to 1.25 m after second collision, then coefficient of restitution e is
A 1.0 kg ball drops vertically into a floor from a height of 25 cm . It rebounds to a height of 4 cm. The coefficient of restitution for the collision is
Two identical billiard balls are in contact on a table. A third identical ball strikes them symmetrically and comes to rest after impact. The coefficient of restitution is :
A metal ball falls from a height of 1m on to a steel plate and jumps upto a height of 81 cm. The coefficient of restitution of the ball and steel plate is
A ball is dropped on a horizontal surface from height h. If it rebounds upto height (h)/(2) after first collision then coefficient of restitution between ball and surface is
A steel ball strikes a fixed smooth steel plate placed on a horizontal surface at an angle theta with the vertical. If the coefficient of restitution is e, the angle at which the rebound will take place is:
A steel ball strikes a fixed smooth steel plate placed on a horizontal surface atan angle theta with the vertical. If the coefficient of restitution is e, the angle at which the rebound will take place is:
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 ?
CENGAGE PHYSICS ENGLISH-CENTRE OF MASS-INTEGER_TYPE
