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?
Linear velocity
Angular velocity
Total energy
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.
