Home
Class 11
PHYSICS
Two balls of same mass are dropped from ...

Two balls of same mass are dropped from the same height onto the floor. The first ball bounces upwards from the floor elastically. The second ball stricks to the floor. The first applies an impulse to the floor of `I_(1)` and the second applies an imupulse `I_(2)`. The impulses obey :-

A

`I_(1)=I_(2)`

B

`I_(1)=(I_(2))/2`

C

`I_(1)=2I_(2)`

D

`I_(1)=(I_(2))/4`

Text Solution

Verified by Experts

The correct Answer is:
C
Impulse = Change in momentum
Let v be the velocity of the first ball when it strikes the ground. Its momentum = mv. It suffers an elastic collision.
It goes up with velocity v or momentum mv.
`therefore` Change in momentum`=mv-(-mv)= 2mv`
The second ball also strikes the ground with a velocity v, its momentum is mv and as it sticks to ground, v = 0, momentum after collision = 0.
`therefore ` Change in its momentum `=mv-0=mv`
This is equal to `I_(2)`.
Thus `I_(1)= 2mv and I_(2)= mv`
`therefore I_(1) = 2I_(2)`
Promotional Banner

Topper's Solved these Questions

  • FORCE, WORK AND TORQUE

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|10 Videos

  • FRICTIONAL IN SOLIDS AND LIQUIDS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|10 Videos

Similar Questions

Explore conceptually related problems

Two balls of same mass are dropped from the same height h, on to the floor. The first ball bounces to a height h/4, after the collision & the second ball to a height h/16. The impulse applied by the first & second ball on the floor are I_(1) and I_(2) respectively. Then

Two balls of same mass are dropped from the same height h, on to the floor. The first ball bounces to a height h//4 , after the collision & the second ball to a height h//6 . The impulse applied by the first & second ball on the floor are I_(1) and I_(2) respectively. Then :-

Two idential solid balls, one of ivory and the other of wet caly, are dropped from the same height on the floor. Which one will rise to a greater height after striking the floor and why ?

A ball is dropped from a height h . As it bounces off the floor, its speed is 80 percent of what it was just before it hit the floor. The ball will then rise to a height of most nearly

A ball is dropped from a height h. As it bounces off the floor, its speed is 80 per cent of what it was just before it hit the floor. The ball will then rise to a height of most nearly:

A ball is dropped from a height of 20 m on a floor for which e = 1//2 . The height attained by the ball after the second collision

A ball is dropped from a height h onto a floor and rebounds to a height h//6 . The coefficient of restitution between the ball and the floor is

Before a rubber ball bounces off from the floor the ball is in contact with the floor for a fraction of second. Which of the following statements are correct-

When a ball drops onto the floor it bounces. Why does it bounce ?