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A bomb of mass 16kg at rest, explodes into two pieces of masses 4kg and 12kg. After explosion, the velocity of the 12kg mass is 4m/s. What is the velocity of the 4kg piece?
- a)-12 m/s
- b)12 m/s
- c)-4 m/s
- d)none of these
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
A bomb of mass 16kg at rest, explodes into two pieces of masses 4kg an...
Simply by conserving the momentum of the system we get that,
0 (initial momentum) = 12 x 4 + 4 x v (final momentum)
Thus we get v = -12 m/s
0 (initial momentum) = 12 x 4 + 4 x v (final momentum)
Thus we get v = -12 m/s
Most Upvoted Answer
A bomb of mass 16kg at rest, explodes into two pieces of masses 4kg an...
Solution:
Conservation of momentum:
- Before the explosion, the bomb was at rest, so the initial momentum was zero.
- After the explosion, the total momentum of the system must still be zero since there are no external forces acting on the system. Therefore, the momentum of the 4kg piece must be equal in magnitude and opposite in direction to that of the 12kg piece.
Momentum of the 12kg piece:
- We are given that the velocity of the 12kg piece is 4m/s, but we need to find its momentum.
- Momentum (p) = mass (m) x velocity (v)
- Therefore, momentum of 12kg piece = 12kg x 4m/s = 48kg m/s
Momentum of the 4kg piece:
- Since momentum must be conserved, the momentum of the 4kg piece must be equal in magnitude and opposite in direction to that of the 12kg piece.
- Momentum of 4kg piece = -48kg m/s (Note the negative sign, indicating opposite direction)
Velocity of the 4kg piece:
- We know the mass and momentum of the 4kg piece, but we need to find its velocity.
- Momentum (p) = mass (m) x velocity (v)
- Therefore, velocity of 4kg piece = momentum (p) / mass (m) = (-48kg m/s) / (4kg) = -12m/s (Note the negative sign, indicating opposite direction)
Answer:
- Therefore, the velocity of the 4kg piece is -12m/s, which is option A.
Conservation of momentum:
- Before the explosion, the bomb was at rest, so the initial momentum was zero.
- After the explosion, the total momentum of the system must still be zero since there are no external forces acting on the system. Therefore, the momentum of the 4kg piece must be equal in magnitude and opposite in direction to that of the 12kg piece.
Momentum of the 12kg piece:
- We are given that the velocity of the 12kg piece is 4m/s, but we need to find its momentum.
- Momentum (p) = mass (m) x velocity (v)
- Therefore, momentum of 12kg piece = 12kg x 4m/s = 48kg m/s
Momentum of the 4kg piece:
- Since momentum must be conserved, the momentum of the 4kg piece must be equal in magnitude and opposite in direction to that of the 12kg piece.
- Momentum of 4kg piece = -48kg m/s (Note the negative sign, indicating opposite direction)
Velocity of the 4kg piece:
- We know the mass and momentum of the 4kg piece, but we need to find its velocity.
- Momentum (p) = mass (m) x velocity (v)
- Therefore, velocity of 4kg piece = momentum (p) / mass (m) = (-48kg m/s) / (4kg) = -12m/s (Note the negative sign, indicating opposite direction)
Answer:
- Therefore, the velocity of the 4kg piece is -12m/s, which is option A.
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Community Answer
A bomb of mass 16kg at rest, explodes into two pieces of masses 4kg an...
In explosion mass and momentum is conserved so from momentum conservation 4×v+12×4=0 so velocity of 4 kg mass=-12m/s
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A bomb of mass 16kg at rest, explodes into two pieces of masses 4kg and 12kg. After explosion, the velocity of the 12kg mass is 4m/s. What is the velocity of the 4kg piece?a)-12 m/sb)12 m/sc)-4 m/sd)none of theseCorrect answer is option 'A'. Can you explain this answer?
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A bomb of mass 16kg at rest, explodes into two pieces of masses 4kg and 12kg. After explosion, the velocity of the 12kg mass is 4m/s. What is the velocity of the 4kg piece?a)-12 m/sb)12 m/sc)-4 m/sd)none of theseCorrect answer is option 'A'. Can you explain this answer? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A bomb of mass 16kg at rest, explodes into two pieces of masses 4kg and 12kg. After explosion, the velocity of the 12kg mass is 4m/s. What is the velocity of the 4kg piece?a)-12 m/sb)12 m/sc)-4 m/sd)none of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A bomb of mass 16kg at rest, explodes into two pieces of masses 4kg and 12kg. After explosion, the velocity of the 12kg mass is 4m/s. What is the velocity of the 4kg piece?a)-12 m/sb)12 m/sc)-4 m/sd)none of theseCorrect answer is option 'A'. Can you explain this answer?.
A bomb of mass 16kg at rest, explodes into two pieces of masses 4kg and 12kg. After explosion, the velocity of the 12kg mass is 4m/s. What is the velocity of the 4kg piece?a)-12 m/sb)12 m/sc)-4 m/sd)none of theseCorrect answer is option 'A'. Can you explain this answer? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A bomb of mass 16kg at rest, explodes into two pieces of masses 4kg and 12kg. After explosion, the velocity of the 12kg mass is 4m/s. What is the velocity of the 4kg piece?a)-12 m/sb)12 m/sc)-4 m/sd)none of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A bomb of mass 16kg at rest, explodes into two pieces of masses 4kg and 12kg. After explosion, the velocity of the 12kg mass is 4m/s. What is the velocity of the 4kg piece?a)-12 m/sb)12 m/sc)-4 m/sd)none of theseCorrect answer is option 'A'. Can you explain this answer?.
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A bomb of mass 16kg at rest, explodes into two pieces of masses 4kg and 12kg. After explosion, the velocity of the 12kg mass is 4m/s. What is the velocity of the 4kg piece?a)-12 m/sb)12 m/sc)-4 m/sd)none of theseCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for A bomb of mass 16kg at rest, explodes into two pieces of masses 4kg and 12kg. After explosion, the velocity of the 12kg mass is 4m/s. What is the velocity of the 4kg piece?a)-12 m/sb)12 m/sc)-4 m/sd)none of theseCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of A bomb of mass 16kg at rest, explodes into two pieces of masses 4kg and 12kg. After explosion, the velocity of the 12kg mass is 4m/s. What is the velocity of the 4kg piece?a)-12 m/sb)12 m/sc)-4 m/sd)none of theseCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
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