If a hollow sphere rolls down an incline, how does its acceleration compare to that of a solid sphere?
Practice Questions
1 question
Q1
If a hollow sphere rolls down an incline, how does its acceleration compare to that of a solid sphere?
Greater
Less
Equal
Depends on mass
The hollow sphere has a greater moment of inertia, resulting in less acceleration compared to the solid sphere.
Questions & Step-by-step Solutions
1 item
Q
Q: If a hollow sphere rolls down an incline, how does its acceleration compare to that of a solid sphere?
Solution: The hollow sphere has a greater moment of inertia, resulting in less acceleration compared to the solid sphere.
Steps: 4
Step 1: Understand what a hollow sphere and a solid sphere are. A hollow sphere is empty inside, while a solid sphere is filled with material.
Step 2: Learn about moment of inertia. Moment of inertia is a measure of how difficult it is to change the rotation of an object. A hollow sphere has a greater moment of inertia than a solid sphere.
Step 3: Know that when objects roll down an incline, their acceleration depends on their moment of inertia. The greater the moment of inertia, the less the acceleration.
Step 4: Compare the two spheres. Since the hollow sphere has a greater moment of inertia, it will accelerate less than the solid sphere when both roll down the incline.