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A rolling object has both translational and rotational motion. Which of the foll

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Question: A rolling object has both translational and rotational motion. Which of the following quantities remains constant for a rolling object on a flat surface?

Options:

  1. Linear velocity
  2. Angular velocity
  3. Total energy
  4. Kinetic energy

Correct Answer: Total energy

Solution: 

The total energy remains constant for a rolling object on a flat surface, assuming no external work is done.

A rolling object has both translational and rotational motion. Which of the foll

Practice Questions

Q1
A rolling object has both translational and rotational motion. Which of the following quantities remains constant for a rolling object on a flat surface?
  1. Linear velocity
  2. Angular velocity
  3. Total energy
  4. Kinetic energy

Questions & Step-by-Step Solutions

A rolling object has both translational and rotational motion. Which of the following quantities remains constant for a rolling object on a flat surface?
  • Step 1: Understand that a rolling object moves in two ways: it rolls (rotational motion) and it moves forward (translational motion).
  • Step 2: Recognize that when an object rolls on a flat surface without any external forces acting on it (like friction or pushing), its energy is conserved.
  • Step 3: Identify the types of energy involved: kinetic energy from its motion and potential energy if it's on a slope (but here we assume it's flat, so potential energy is constant).
  • Step 4: Realize that the total energy of the rolling object is the sum of its translational kinetic energy and its rotational kinetic energy.
  • Step 5: Conclude that since no external work is done, the total energy of the rolling object remains constant.
  • Conservation of Energy – In a closed system with no external work, the total mechanical energy (kinetic + potential) remains constant.
  • Rolling Motion – Rolling objects exhibit both translational and rotational kinetic energy, which must be considered when analyzing their motion.
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