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If the velocity of a body is doubled its momentum ________________.
- a)remains same
- b)doubles
- c)becomes half
- d)becomes 4 times
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
If the velocity of a body is doubled its momentum ________________.a)...
Momentum is directly proportional to velocity. If the momentum of an object is doubled, but its mass does not increase (so velocity remains well below the speed of light), then its velocity is doubled. Hence kinetic energy of the body will be 4 times to its earlierthe,”, earlier the value.
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Most Upvoted Answer
If the velocity of a body is doubled its momentum ________________.a)...
Understanding Momentum
Momentum is defined as the product of an object's mass and its velocity. The formula for momentum (p) is:
where:
- p = momentum
- m = mass of the body
- v = velocity of the body
Effect of Doubling Velocity
When the velocity of a body is doubled, the relationship between momentum and velocity becomes crucial to understand.
1. Initial Momentum
- Initial momentum can be expressed as:
2. New Velocity
- If the velocity is doubled, the new velocity (v') is:
3. New Momentum Calculation
- The new momentum (p') can be calculated as:
Conclusion
From the calculations above, it is clear that when the velocity of a body is doubled, its momentum also doubles.
Answer Summary
- Therefore, the correct answer to the question is:
This fundamental relationship between velocity and momentum is essential in physics, especially in topics related to motion and collisions. Understanding this principle helps in analyzing various physical scenarios effectively.
Momentum is defined as the product of an object's mass and its velocity. The formula for momentum (p) is:
p = m × v
where:
- p = momentum
- m = mass of the body
- v = velocity of the body
Effect of Doubling Velocity
When the velocity of a body is doubled, the relationship between momentum and velocity becomes crucial to understand.
1. Initial Momentum
- Initial momentum can be expressed as:
p_initial = m × v
2. New Velocity
- If the velocity is doubled, the new velocity (v') is:
v' = 2v
3. New Momentum Calculation
- The new momentum (p') can be calculated as:
p' = m × v' = m × (2v) = 2(m × v) = 2p_initial
Conclusion
From the calculations above, it is clear that when the velocity of a body is doubled, its momentum also doubles.
Answer Summary
- Therefore, the correct answer to the question is:
Option B: Momentum doubles.
This fundamental relationship between velocity and momentum is essential in physics, especially in topics related to motion and collisions. Understanding this principle helps in analyzing various physical scenarios effectively.
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If the velocity of a body is doubled its momentum ________________.a)remains sameb)doublesc)becomes halfd)becomes 4 timesCorrect answer is option 'B'. Can you explain this answer?
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