Distance from wall of collision

In summary, the problem involves two identical spheres on a horizontal table, with one sphere initially moving and the other at rest. The spheres collide perpendicular to a vertical wall, and the distance between the wall and the point of impact is given as d. The task is to find the distance from the wall of the next impact between the spheres, expressed in terms of d and the coefficient of restitution, e. The attempt at a solution involved using the equations e(u1-u2) = v2-v1 and conservation of momentum, but the attempt resulted in confusion. Assistance is requested in finding the final velocities and correcting the coefficient of restitution equation.
  • #1
hendrix7
36
8

Homework Statement



'A small smooth sphere moves on a horizontal table and strikes an identical sphere lying at rest on the table at a distance d from a vertical wall, the impact being along the line of centres and perpendicular to the wall. Find the distance from the wall of the next impact between the spheres in terms of d and e where e is the coefficient of restitution for all the impacts involved.'

Homework Equations

The Attempt at a Solution


I have tried using e(u1- u2) = v2 - v1
conservation of momentum: u1 = v1 + v2
but got into a bit of a mess. Any help would be greatly appreciated.
 
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  • #2
You have two equations and two unknowns, the final velocities of the two balls. Can you find what they are? You also need to fix the coefficient of restitution equation to conform to this problem.
 
  • #3
hendrix7 said:
got into a bit of a mess
To help you we need to see that mess. Please post all your working.
 

FAQ: Distance from wall of collision

What is the definition of "distance from wall of collision"?

Distance from wall of collision refers to the distance between a moving object and a stationary wall at the moment of impact or collision. It is a measurement of the closest distance between the two objects.

How is the distance from wall of collision calculated?

The distance from wall of collision can be calculated using basic kinematic equations, taking into account the initial velocity, acceleration, and time of the moving object. It can also be measured directly using tools such as a ruler or measuring tape.

Why is the distance from wall of collision important in physics?

The distance from wall of collision is an important concept in physics because it helps us understand the impact and forces involved in a collision. It also helps in analyzing the motion of objects and predicting their trajectories.

How does the distance from wall of collision affect the severity of a collision?

The distance from wall of collision can greatly affect the severity of a collision. A shorter distance means a higher impact force and potentially more damage, while a longer distance can reduce the impact force and lessen the severity of the collision.

Can the distance from wall of collision be altered or controlled?

In most cases, the distance from wall of collision cannot be altered or controlled. It is determined by the initial conditions of the moving object and the position of the stationary wall. However, in some cases, external forces or factors may be able to influence the distance from wall of collision.

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