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TS EAMCET · Physics · Center of Mass Momentum and Collision

A ball of mass 1 kg moving along X-direction collides elastically with a stationary ball of mass m. The first ball (mass =1 kg) recoils at right angle to its original direction of motion. If the second ball starts moving at an angle 30° with the X-axis, the value of mmust be

  1. A 0.5 kg
  2. B 1.5 kg
  3. C 2.5 kg
  4. D 2 kg
Verified Solution

Answer & Solution

Correct Answer

(D) 2 kg

Step-by-step Solution

Detailed explanation

The given data can be diagrammatically represented as below, According to the conservation of linear momentum,(1) u=mv2cos30°...1 (∴ Along x- direction)2v1=mv2sin30°...2 (∴therefore Along y- direction)=mv2=2v1On solving 1and 2u=3v1Given, the collision is…
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