Class 9 Exam  >  Class 9 Questions  >  Choose the correctly matched pair:a)Momentum ... Start Learning for Free
Choose the correctly matched pair:
  • a)
    Momentum - Mass x Velocity
  • b)
    Second Law of Motion - Force = Mass x Distance
  • c)
    Unit of Force - Kilogram per second
  • d)
    Acceleration - Rate of change of Momentum
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Choose the correctly matched pair:a)Momentum - Mass x Velocityb)Second...
The correctly matched pair is Option A: Momentum - Mass x Velocity.
  • Option A: Momentum - Mass x Velocity is correct.
    By definition, momentum (p) is the product of the mass (m) of an object and its velocity (v), i.e., p = mv.
  • Option B: Second Law of Motion - Force = Mass x Distance is incorrect.
    According to Newton's Second Law of Motion, the force (F) is equal to the mass (m) of an object multiplied by its acceleration (a), i.e., F = ma.
  • Option C: Unit of Force - Kilogram per second is incorrect.
    The correct SI unit of force is the Newton (N), which is defined as kg·m/s² (kilogram meter per second squared).
  • Option D: Acceleration - Rate of change of Momentum is incorrect.
    Acceleration is the rate of change of velocity, not momentum. The rate of change of momentum is related to force as per the Second Law of Motion.
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Community Answer
Choose the correctly matched pair:a)Momentum - Mass x Velocityb)Second...
Understanding Momentum
Momentum is a fundamental concept in physics, defined as the product of mass and velocity. The formula for momentum (p) is:
- Momentum (p) = Mass (m) x Velocity (v)
This means that an object's momentum increases with either an increase in its mass or its velocity. Therefore, option A is correctly matched.
Analyzing Other Options
- Second Law of Motion - Incorrect Match
The Second Law of Motion, formulated by Newton, states that force equals mass times acceleration (F = m x a). The phrase "Mass x Distance" does not apply here, making option B incorrect.
- Unit of Force - Incorrect Match
The standard unit of force in the International System of Units (SI) is the Newton (N), not "Kilogram per second." Thus, option C is also incorrect.
- Acceleration - Partially Correct
Acceleration is defined as the rate of change of velocity per unit time, not specifically the rate of change of momentum. While momentum involves acceleration, this statement is not precise enough, making option D incorrect.
Conclusion
In summary, option A is the only correct match as it accurately reflects the definition of momentum in physics. Understanding these basic principles is crucial for further studies in mechanics and related fields.
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