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QAIPMT-2009-Ph-2183: NEET 2009 Physics - Class 11 AIPMT-2009-Ph-2183 Solution: An explosion blows a rock into three parts. Two parts go off at …

An explosion blows a rock into three parts. Two parts go off at right angles to each other. These two are, 1 kg first part moving with a velocity of 12 m s−112\ \text{m s}^{-1} and 2 kg second part moving with a velocity 8 m s−18\ \text{m s}^{-1}. If the third part flies off with a velocity of 4 m s−14\ \text{m s}^{-1}, its mass would be:

Multiple Choice Options

  • A 7 kg
  • B 17 kg
  • C 3 kg
  • D 5 kg

Step-by-Step Verified Solution

When an explosion breaks a rock, by the law of conservation of momentum, initial momentum is zero and for the three pieces, Total momentum of the two pieces 1 kg and 2 kg = 12 2 + 16 2 = 20 k g m s _ 1 The third piece has the same momentum and in the direction opposite to the resultant of these two momentum. _ Momentum of the third piece = 20 kg ms �1 Velocity = 4 ms �1 _ Mass of the 3 rd piece = m v v = 20 4 = 5 kg

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