A disk rolls down a slope of height h. What fraction of its total energy is translational at the bottom?
Practice Questions
1 question
Q1
A disk rolls down a slope of height h. What fraction of its total energy is translational at the bottom?
1/3
1/2
2/3
1
At the bottom, the total energy is converted into translational and rotational energy. The translational energy is 2/3 of the total energy.
Questions & Step-by-step Solutions
1 item
Q
Q: A disk rolls down a slope of height h. What fraction of its total energy is translational at the bottom?
Solution: At the bottom, the total energy is converted into translational and rotational energy. The translational energy is 2/3 of the total energy.
Steps: 5
Step 1: Understand that the disk starts at a height 'h' and has potential energy due to its height.
Step 2: Recognize that as the disk rolls down the slope, this potential energy converts into two types of energy: translational energy (movement) and rotational energy (spinning).
Step 3: Know that the total energy at the bottom of the slope is equal to the initial potential energy at height 'h'.
Step 4: Realize that for a rolling disk, the relationship between translational energy and total energy is given by the formula: Translational Energy = (2/3) * Total Energy.
Step 5: Conclude that at the bottom of the slope, the fraction of the total energy that is translational is 2/3.
