Solid sphere and hollow sphere rolled down an inclined plane

Click For Summary

Homework Help Overview

The discussion revolves around the dynamics of a solid sphere and a hollow sphere of the same mass and radius rolling down a rough inclined plane. Participants are examining the relationship between speed and kinetic energy for both objects as they descend.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are questioning the reasoning behind the kinetic energy of the solid sphere being greater, particularly in relation to its velocity. There is an exploration of the implications of the statement regarding both spheres being rolled down the incline.

Discussion Status

The discussion is ongoing, with participants seeking clarification on the kinetic energy and speed of the spheres. Some guidance has been provided regarding the need to reconsider the statements made about the motion of the spheres.

Contextual Notes

There is a mention of a book providing only one correct option regarding the speed of the solid sphere, which raises questions about the completeness of the information available to the participants.

Yatin
Messages
20
Reaction score
1
A solid sphere and a hollow one of same mass and radii are rolled down a rough inclined plane.
Which of the following is true?
(A) solid sphere reaches bottom with greater speed.
(B) solid sphere reaches the bottom with greater kinetic energy.

( I know that option A is correct.Thus I felt that B should also be correct.
However A is the only option given in the book as correct. Please help)
 
Physics news on Phys.org
Why do you think the kinetic energy of the solid sphere is greater? Because of its higher velocity? If this is the case, maybe another look at the statement helps: it says ' [...] are rolled down [...] '.
 
See the above but even in that case V at the end = V initial + the acceleration due to gravity that is experienced by both balls; or, is there something else I am also missing?
 
Last edited:
Please use the template so we can help you.
 

Similar threads

Ring and solid sphere rolling down an incline - rotation problem
  • · Replies 8 ·
Replies
8
Views
3K
Which sphere reaches the bottom of the inclined plane first
  • · Replies 19 ·
Replies
19
Views
5K
Identical Hollow and Solid Spheres
  • · Replies 4 ·
Replies
4
Views
8K
Conservation of energy problem: Ball rolling down inclined plane and then through a loop-the-loop
  • · Replies 10 ·
Replies
10
Views
3K
Rolling 3 objects on an inclined plane
  • · Replies 8 ·
Replies
8
Views
2K
Statics and Rotational Dynamics
  • · Replies 16 ·
Replies
16
Views
2K
Objects with Different Moments of Inertia Rolling Down an Inclined Plane
  • · Replies 5 ·
Replies
5
Views
2K
Which will reach the bottom faster: solid or hollow sphere?
  • · Replies 33 ·
2
Replies
33
Views
4K
Effect of density on downward rolling spheres
  • · Replies 14 ·
Replies
14
Views
5K
Acceleration of a uniform solid sphere rolling down incline
  • · Replies 1 ·
Replies
1
Views
4K