Is the Work Done in Rolling a Stone Less Than Lifting It?

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Discussion Overview

The discussion centers on whether less work is done in rolling a stone compared to lifting it, particularly in the context of gravitational forces and kinetic energy. Participants explore the implications of rolling on different surfaces and the effects of acceleration in both scenarios.

Discussion Character

  • Debate/contested

Main Points Raised

  • Some participants propose that rolling a stone involves rotational kinetic energy, which may affect the total work done compared to lifting it directly.
  • One participant questions the specific conditions of the rolling scenario, asking whether the stone is rolled on a smooth, flat surface or up an incline.
  • Another participant asserts that the work done against gravity remains the same in both rolling and lifting scenarios, but acknowledges that the work done in accelerating the stone may differ.
  • A later reply suggests that if the stone starts and ends at rest, any differences in acceleration during the rolling process would be compensated by deceleration, implying that the total work done could be identical.

Areas of Agreement / Disagreement

Participants do not reach a consensus on whether less work is done in rolling the stone compared to lifting it, with multiple competing views on the effects of acceleration and the nature of work done in each case.

Contextual Notes

The discussion does not resolve the assumptions regarding the surface conditions or the specific mechanics of rolling versus lifting, leaving these factors open to interpretation.

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Is less work done in rolling the stone than lifting it? I think so that as gravity is conservative field therefore work done should be equal. But rolling could mean rotational kinetic energy so please clarify this?
 
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Can you elaborate? Are you rolling the stone across a smooth, flat surface, up a hill, or somewhere else?
 
Drakkith said:
Can you elaborate? Are you rolling the stone across a smooth, flat surface, up a hill, or somewhere else?
It is being rolled on smooth incline.
 
Well, the work done against gravity is the same in both cases. However the work done in accelerating the boulder will probably be different. When lifting it, you just have to accelerate it upwards and there's no rolling.
 
Drakkith said:
However the work done in accelerating the boulder will probably be different. When lifting it, you just have to accelerate it upwards and there's no rolling.
Assuming that the stone begins and ends at rest, any difference in acceleration at the beginning will be made up for at the end, when the deceleration helps it to finish rolling to the top.. So the work should be identical even considering differences in acceleration.
 
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