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TS EAMCET · Physics · Gravitation

A ball of mass M moving with a speed of 2 m s-1 hits another ball of mass 1 kg moving in the same direction with a speed of 1 m s-1. If the kinetic energy of center of mass is 43 Joule, then the magnitude of M is

  1. A 1 kg
  2. B 0.25 kg
  3. C 0.50 kg
  4. D 2 kg
Verified Solution

Answer & Solution

Correct Answer

(C) 0.50 kg

Step-by-step Solution

Detailed explanation

Given: Kinetic energy of the centre of mass K.E=43 Joule The velocity of centre of mass vcm is equal to the summation of the momentum of each ball to the total mass of the system. vcm=2×M+1×1M+1=2 M+1M+1 Now kinetic energy of the centre of mass is K.E=12mv2…
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