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Which one of the following pairs regarding kinetic energy and potential energy is correctly matched?
  • a)
    Kinetic Energy - mgh
  • b)
    Potential Energy - 1/2 mv^2
  • c)
    Kinetic Energy - 1/2 mv^2
  • d)
    Potential Energy - mv
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Which one of the following pairs regarding kinetic energy and potentia...
  • Option A: (a) Kinetic Energy - mgh
  • Option B: (b) Potential Energy - 1/2 mv^2
  • Option C: (c) Kinetic Energy - 1/2 mv^2
  • Option D: (d) Potential Energy - mv
Objective: Let's analyze each option to determine the correctly matched pair:
  • Option A: (a) Kinetic Energy - mgh
  • Correctness: This is incorrect. The expression mgh represents gravitational potential energy, not kinetic energy.
  • Option B: (b) Potential Energy - 1/2 mv^2
  • Correctness: This is incorrect. The expression 1/2 mv^2 represents kinetic energy, not potential energy.
  • Option C: (c) Kinetic Energy - 1/2 mv^2
  • Correctness: This is correct. The expression 1/2 mv^2 accurately represents the kinetic energy of an object, where m is the mass and v is the velocity.
  • Option D: (d) Potential Energy - mv
  • Correctness: This is incorrect. The expression mv does not represent potential energy. The correct expression for gravitational potential energy is mgh, where m is the mass, g is the acceleration due to gravity, and h is the height.
  • Conclusion: Therefore, the correctly matched pair is Option C: (c) Kinetic Energy - 1/2 mv^2.
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Which one of the following pairs regarding kinetic energy and potential energy is correctly matched?a)Kinetic Energy - mghb)Potential Energy - 1/2 mv^2c)Kinetic Energy - 1/2 mv^2d)Potential Energy - mvCorrect answer is option 'C'. Can you explain this answer?
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