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If the momentum of a body is doubled, the kinetic energy is _____.
- a)becomes 1/4 times
- b)Unchanged
- c)Doubled
- d)becomes 4 times
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
If the momentum of a body is doubled, the kinetic energy is _____.a)be...
The momentum of a body, P = mv, where m is the mass of the particle, and v is the velocity of the particle.
Momentum is directly proportional to velocity.
The kinetic energy of a particle is given by the equation, KE = (1/2)mv2.
KE = (1/2)mv2
When the momentum of a body is doubled, then the velocity will be doubled.
⇒ KE = (1/2) × m × (2v)2 = 4 × (1/2)mv2
Hence, If the momentum of a body is doubled, the kinetic energy becomes 4 times.
Most Upvoted Answer
If the momentum of a body is doubled, the kinetic energy is _____.a)be...
Explanation:
Momentum and Kinetic Energy:
When the momentum of a body is doubled, the kinetic energy of the body increases. This is because momentum and kinetic energy are related quantities when it comes to the motion of an object.
Mathematical Relationship:
The kinetic energy of an object is given by the formula: KE = 0.5 * m * v^2, where m is the mass of the object and v is its velocity. The momentum of an object is given by the formula: p = m * v, where p is the momentum of the object.
Effect of Doubling Momentum:
When the momentum of a body is doubled, it means that the velocity of the body has also doubled. Since kinetic energy is directly proportional to the square of the velocity, doubling the velocity results in the kinetic energy becoming 4 times the original value.
Conclusion:
Therefore, when the momentum of a body is doubled, the kinetic energy of the body becomes 4 times the original value. This relationship highlights the connection between momentum and kinetic energy in the motion of an object.
Momentum and Kinetic Energy:
When the momentum of a body is doubled, the kinetic energy of the body increases. This is because momentum and kinetic energy are related quantities when it comes to the motion of an object.
Mathematical Relationship:
The kinetic energy of an object is given by the formula: KE = 0.5 * m * v^2, where m is the mass of the object and v is its velocity. The momentum of an object is given by the formula: p = m * v, where p is the momentum of the object.
Effect of Doubling Momentum:
When the momentum of a body is doubled, it means that the velocity of the body has also doubled. Since kinetic energy is directly proportional to the square of the velocity, doubling the velocity results in the kinetic energy becoming 4 times the original value.
Conclusion:
Therefore, when the momentum of a body is doubled, the kinetic energy of the body becomes 4 times the original value. This relationship highlights the connection between momentum and kinetic energy in the motion of an object.
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If the momentum of a body is doubled, the kinetic energy is _____.a)becomes 1/4 timesb)Unchangedc)Doubledd)becomes 4 timesCorrect answer is option 'D'. Can you explain this answer?
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