Inclined Planes: Heavier Can Go Farther?

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Discussion Overview

The discussion explores the dynamics of two cans of different masses rolling down an inclined plane and their subsequent motion on flat ground. Participants consider factors such as acceleration, kinetic energy, air resistance, rolling resistance, and internal friction.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant notes that both cans will accelerate at the same rate down the ramp, questioning whether the heavier can will travel farther on flat ground due to its mass overcoming drag, its kinetic energy, or rolling friction.
  • Another participant suggests that if the cans are the same size, the heavier can will be less affected by air resistance, which depends on surface area.
  • A different participant asserts that the heavier can should generally roll farther if both cans have the same volume.
  • One participant expresses skepticism about the certainty of the heavier can rolling farther.
  • A later reply warns that internal frictional losses in a can filled with liquid could affect the results, and discusses how the distribution of mass affects the moment of inertia, which could influence acceleration down the ramp.

Areas of Agreement / Disagreement

Participants express varying opinions on whether the heavier can will roll farther, with some suggesting it will while others remain uncertain or skeptical. The discussion does not reach a consensus.

Contextual Notes

Factors such as the internal structure of the cans, the distribution of mass, and the specific conditions of the experiment (e.g., surface texture, angle of incline) are acknowledged but not fully resolved.

cragar
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this might be a dumb question , so if I roll 2 cans down a ramp one heavier than the other one they will obviously accelerate at the same rate but when they get to the flat land
will the heavier one go farther because it has more mass to over come the drag or because it has more kinetic energy or does it have something to do with rolling friction.
 
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Hi cragar! :smile:

Should be more or less the same …

air resistance depends on surface area, so if the cans are the same size, the heavier one will be slowed less …

rolling resistance (not friction) depends mainly on deformation of the can, and on heat generated by whatever's sloshing around inside it, and that's a bit difficult to predict :redface:
 
so in general the heavier can should roll farther . if it is the same volume.
 
Maybe

I wouldn't bet on it, though. :wink:
 
okay , thanks for your answer .
 
Be careful on selecting the cans. If one can is nearly full of a liquid, like chicken soup, there are internal frictional losses. Also, if one can has most of its mass close to the maximum radius, and the other uniformly distributed, the former would have twice the moment of inertia per unit mass (I/m) of the latter, which will reduce the acceleration rate down the ramp.
 

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