A rolling object has both translational and rotational motion. Which of the following quantities remains constant for a rolling object on a flat surface?
Practice Questions
1 question
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?
Linear velocity
Angular velocity
Total energy
Kinetic energy
The total energy remains constant for a rolling object on a flat surface, assuming no external work is done.
Questions & Step-by-step Solutions
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Q
Q: A rolling object has both translational and rotational motion. Which of the following quantities remains constant for a rolling object on a flat surface?
Solution: The total energy remains constant for a rolling object on a flat surface, assuming no external work is done.
Steps: 5
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.
