If a solid sphere and a solid cylinder of the same mass and radius are released from rest at the same height, which will have a greater speed at the bottom?
Practice Questions
1 question
Q1
If a solid sphere and a solid cylinder of the same mass and radius are released from rest at the same height, which will have a greater speed at the bottom?
Solid sphere
Solid cylinder
Both have the same speed
Depends on the mass
Both will have the same speed at the bottom due to conservation of energy, as they start from the same height.
Questions & Step-by-step Solutions
1 item
Q
Q: If a solid sphere and a solid cylinder of the same mass and radius are released from rest at the same height, which will have a greater speed at the bottom?
Solution: Both will have the same speed at the bottom due to conservation of energy, as they start from the same height.
Steps: 8
Step 1: Understand that both the solid sphere and the solid cylinder are released from the same height.
Step 2: Recognize that they both have the same mass and radius.
Step 3: Remember the principle of conservation of energy, which states that energy cannot be created or destroyed, only transformed.
Step 4: When the objects are at the top, they have potential energy due to their height.
Step 5: As they fall, this potential energy is converted into kinetic energy (the energy of motion).
Step 6: Since both objects start from the same height, they will have the same amount of potential energy at the top.
Step 7: When they reach the bottom, all of that potential energy will have been converted into kinetic energy.
Step 8: Therefore, both the solid sphere and the solid cylinder will have the same speed at the bottom.
