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COMEDK · Physics · 7. Center of Mass Momentum and Collision

In the figure, pendulum bob on left side is pulled a side to a height \(h\) from its initial position. After it is released it collides with the right pendulum bob at rest, which is of same mass. After the collision, the two bobs stick together and rise to a height

  1. A \(\dfrac{2 h}{3}\)
  2. B \(\dfrac{h}{4}\)
  3. C \(\dfrac{3 h}{4}\)
  4. D \(\dfrac{h}{2}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(\dfrac{h}{4}\)

Step-by-step Solution

Detailed explanation

Let \(m\) be the mass of each pendulum bob and \(L\) be the length of the strings. When the left bob is released from height \(h\), its velocity \(v\) just before the collision is found using the conservation of mechanical energy:…