Home
Class 12
PHYSICS
A ball of mass m collides with a station...

A ball of mass m collides with a stationary identical ball a speed `v_(0)`. Find the impulse of the colliding balls `(e=1//2)`.

Text Solution

AI Generated Solution

To solve the problem of finding the impulse of the colliding balls, we will follow these steps: ### Step 1: Understand the situation We have two identical balls, each of mass \( m \). One ball is moving with an initial speed \( v_0 \) and collides with a stationary ball. We need to find the impulse experienced by both balls during the collision. ### Step 2: Apply the conservation of momentum Since there are no external forces acting on the system, we can apply the principle of conservation of momentum. The total momentum before the collision must equal the total momentum after the collision. ...
Doubtnut Promotions Banner Mobile Dark
|

Similar Questions

Explore conceptually related problems

A glass ball collides with an identical ball at rest with v_(0)=2 m/sec. If the coefficient of restitution of collision is e = 0.5, find the velocities of the glass balls just after the collision.

A ball of mass m collides with a stationary wedge of mass M , perpendicular to its inclined face, inclined at an angle as shown in the figure. If the coefficient of restitution between the wedge and ball is e , calculate the ratio of modulus of velocity of the ball immediately after and before collision. Also calculate the velocity of wedge just after collision.

Knowledge Check

  • A ball of mass m moving with a speed 2v_0 collides head-on with an identical ball at rest. If e is the coefficient of restitution, then what will be the ratio of velocity of two balls after collision?

    A
    `(1-e)/(1+e)`
    B
    `(1+e)/(1-e)`
    C
    `(e-1)/(e+1)`
    D
    `(e+1)/(e-1)`

  • A ball of mass m moving with a speed 2v_0 collides head-on with an identical ball at rest. If e is the coefficient of restitution, then what will be the ratio of velocity of two balls after collision?

    A
    `(1-e)/(1+e)`
    B
    `(e-1)/(e+1)`
    C
    `(1+e)/(1-e)`
    D
    `(e+1)/(e-1)`

  • A ball of mass m collides with a wall with speed v and rebounds on the same line with the same speed. If the mass of the wall is taken as infinite, then the work done by the ball on the wall is

    A
    `mv^2`
    B
    `1/2mv^2`
    C
    `2mv`
    D
    zero

    • Similar Questions

    Explore conceptually related problems

    The ball A collides elastically with an identical ball B with a speed v. The ball B touches another identical ball C. The velocity of C, after the impact, is equal to

    A ball of mass m collides with the ground at an angle. With the vertical. If the collision lasts for time t , the average force exerted by the ground on the ball is : (e = coefficient of restitution between the ball and the ground) .

    A stick of length L and mass M lies on a frictionless horizontal surface on which it is free to move in any way. A ball of mass m moving with speed v collides elastically with the stick as shown in the figure. If after the collision the ball comes to rest, then what would be the mass of the ball?

    A ball of mass m moving at a speed v makes a head on inelastic collision with an identical ball at rest. The kinetic energy of the balls after the collision is 3/4th of the original. Find the coefficient of restitution.

    A ball of mass m moving at a speed v makes a head-on collision with an identical ball at rest. The kinetic energy of the balls after the collision is three fourths of the original. Find the coefficient of restitution.

    Home
    Profile