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Kinetic energy of a rolling object is the
- a)work done on moving the object from infinity to that point
- b)translational kinetic energy
- c)rotational kinetic energy
- d)sum of translational kinetic energy and rotational kinetic energy
Correct answer is option 'D'. Can you explain this answer?
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Kinetic energy of a rolling object is thea)work done on moving the obj...
Kinetic Energy of Rolling Object. If an object is rolling without slipping, then its kinetic energy can be expressed as the sum of the translational kinetic energy of its center of mass plus the rotational kinetic energy about the center of mass.
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Kinetic energy of a rolling object is thea)work done on moving the obj...
Kinetic energy of a rolling object
Explanation:
When an object rolls, it possesses both translational motion (movement in a straight line) and rotational motion (movement about its axis). The kinetic energy of a rolling object is the sum of its translational kinetic energy and its rotational kinetic energy.
Translational kinetic energy:
Translational kinetic energy refers to the energy possessed by an object due to its linear motion. It is given by the equation:
KE_translational = 1/2 * mv^2
Where:
- KE_translational is the translational kinetic energy
- m is the mass of the object
- v is the linear velocity of the object
The translational kinetic energy of a rolling object takes into account the linear motion of the object as it rolls.
Rotational kinetic energy:
Rotational kinetic energy refers to the energy possessed by an object due to its rotational motion. It is given by the equation:
KE_rotational = 1/2 * Iω^2
Where:
- KE_rotational is the rotational kinetic energy
- I is the moment of inertia of the object
- ω is the angular velocity of the object
The rotational kinetic energy of a rolling object takes into account the rotational motion of the object about its axis.
Kinetic energy of a rolling object:
The kinetic energy of a rolling object is the sum of its translational kinetic energy and its rotational kinetic energy. This is because the object possesses both types of motion simultaneously.
KE_total = KE_translational + KE_rotational
Substituting the equations for translational and rotational kinetic energy:
KE_total = 1/2 * mv^2 + 1/2 * Iω^2
The sum of these two terms represents the total kinetic energy of the rolling object.
Conclusion:
In conclusion, the correct answer is option D - the kinetic energy of a rolling object is the sum of its translational kinetic energy and its rotational kinetic energy. This is because a rolling object possesses both translational and rotational motion, and its kinetic energy accounts for both types of motion.
Explanation:
When an object rolls, it possesses both translational motion (movement in a straight line) and rotational motion (movement about its axis). The kinetic energy of a rolling object is the sum of its translational kinetic energy and its rotational kinetic energy.
Translational kinetic energy:
Translational kinetic energy refers to the energy possessed by an object due to its linear motion. It is given by the equation:
KE_translational = 1/2 * mv^2
Where:
- KE_translational is the translational kinetic energy
- m is the mass of the object
- v is the linear velocity of the object
The translational kinetic energy of a rolling object takes into account the linear motion of the object as it rolls.
Rotational kinetic energy:
Rotational kinetic energy refers to the energy possessed by an object due to its rotational motion. It is given by the equation:
KE_rotational = 1/2 * Iω^2
Where:
- KE_rotational is the rotational kinetic energy
- I is the moment of inertia of the object
- ω is the angular velocity of the object
The rotational kinetic energy of a rolling object takes into account the rotational motion of the object about its axis.
Kinetic energy of a rolling object:
The kinetic energy of a rolling object is the sum of its translational kinetic energy and its rotational kinetic energy. This is because the object possesses both types of motion simultaneously.
KE_total = KE_translational + KE_rotational
Substituting the equations for translational and rotational kinetic energy:
KE_total = 1/2 * mv^2 + 1/2 * Iω^2
The sum of these two terms represents the total kinetic energy of the rolling object.
Conclusion:
In conclusion, the correct answer is option D - the kinetic energy of a rolling object is the sum of its translational kinetic energy and its rotational kinetic energy. This is because a rolling object possesses both translational and rotational motion, and its kinetic energy accounts for both types of motion.
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Kinetic energy of a rolling object is thea)work done on moving the object from infinity to that pointb)translational kinetic energyc)rotational kinetic energyd)sum of translational kinetic energy and rotational kinetic energyCorrect answer is option 'D'. Can you explain this answer?
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