If a solid sphere and a solid cylinder of the same mass and radius are released
Practice Questions
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
Questions & Step-by-Step Solutions
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?
Correct Answer: Both will have the same speed at the bottom.
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.
