Two equal spheres of mass `m` are in contact on a smooth horizontal table. A third identical sphere impinges symmetrically on the and is reduced to rest. Prove that `e=2/3` and find the loss in `KE`.
Text Solution
AI Generated Solution
To solve the problem, we will follow these steps:
### Step 1: Understand the Initial Conditions
We have three identical spheres, each with mass `m`. Two spheres are at rest on a smooth horizontal table, and a third identical sphere with initial velocity `u` collides symmetrically with the two spheres. After the collision, the third sphere comes to rest.
### Step 2: Apply Conservation of Momentum
Since the third sphere comes to rest after the collision, we can apply the principle of conservation of momentum. The initial momentum of the system is given by the momentum of the third sphere:
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