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If the radius of a circular path is doubled, how does the centripetal force chan

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Question: If the radius of a circular path is doubled, how does the centripetal force change for a constant mass and velocity?

Options:

  1. It doubles.
  2. It halves.
  3. It remains the same.
  4. It quadruples.

Correct Answer: It halves.

Solution: 

Centripetal force is given by F = mv^2/r. If r is doubled, the force is halved, assuming mass and velocity remain constant.

If the radius of a circular path is doubled, how does the centripetal force chan

Practice Questions

Q1
If the radius of a circular path is doubled, how does the centripetal force change for a constant mass and velocity?
  1. It doubles.
  2. It halves.
  3. It remains the same.
  4. It quadruples.

Questions & Step-by-Step Solutions

If the radius of a circular path is doubled, how does the centripetal force change for a constant mass and velocity?
  • Centripetal Force – Centripetal force is the force required to keep an object moving in a circular path, calculated using the formula F = mv^2/r.
  • Effect of Radius on Centripetal Force – Doubling the radius of the circular path while keeping mass and velocity constant results in a decrease of centripetal force, specifically halving it.
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