Problem in understaning potential energy

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SUMMARY

The discussion centers on the concept of potential energy in the context of lifting a block with constant velocity. Participants clarify that while the net work done on the block is zero due to balanced forces, the block still possesses potential energy due to its height. This potential energy is defined as the work done against gravity to elevate the block, which can be converted into kinetic energy when the block is released. The work-energy theorem is emphasized, indicating that energy is conserved even when the net work is zero.

PREREQUISITES
  • Understanding of the work-energy theorem
  • Knowledge of potential energy and its definition
  • Familiarity with forces acting on objects in motion
  • Basic principles of mechanics, including gravitational force
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  • Study the work-energy theorem in detail
  • Explore the concept of conservative forces and their role in potential energy
  • Learn about energy conservation in mechanical systems
  • Investigate real-world applications of potential energy in physics problems
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Vatsal Goyal
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Homework Statement


If we lift a block with constant velocity, by applying a force mg upwards, is the work done zero?

Homework Equations

The Attempt at a Solution


The work done must be zero as the resultant force is zero, what I don't understand is how does the block get potential energy if no work is being done?
 
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I assume that m is the mass of the block.

Why do you think that it should gain potential energy?

You should write down some relevant equations and show some work if you want any hints.
 
FactChecker said:
Why do you think that it should gain potential energy?
It should gain some energy, as when we will release the block, the block will gain kinetic energy, indicating it must have had some form of energy at the height which is converted into kinetic energy.
 
Vatsal Goyal said:

Homework Statement


If we lift a block with constant velocity, by applying a force mg upwards, is the work done zero?
The work done by all forces is zero, that means the KE does not change (work-energy theorem).
Vatsal Goyal said:

Homework Equations

The Attempt at a Solution


The work done must be zero as the resultant force is zero, what I don't understand is how does the block get potential energy if no work is being done?
How is the potential energy of a body at a point due to a force defined?
 
Vatsal Goyal said:
It should gain some energy, as when we will release the block, the block will gain kinetic energy, indicating it must have had some form of energy at the height which is converted into kinetic energy.
The block has some potential energy initially due to the height that it starts at.. Do you think that the force increases it? If so, why?
 
ehild said:
How is the potential energy of a body at a point due to a force defined?
It is defined as the energy a body has due to its position or configuration, and measured by the work that could be done by a body passing from its present position to some zero position.
 
FactChecker said:
The block has some potential energy initially due to the height that it starts at.. Do you think that the force increases it? If so, why?
Yes, I think it would, suppose the block is at height h in the beginning. We lift it by a distance x with velocity u. Now, if we drop it, when it reaches height h, it will have velocity v>u as only force of gravity is acting on it, hence total energy at h is greater than what it was before, then at height h+x, it must have had some extra energy, which is giving the extra kinetic energy at h.
 
Vatsal Goyal said:
It is defined as the energy a body has due to its position or configuration, and measured by the work that could be done by a body passing from its present position to some zero position.
Potential energy due to a conservative force is defined as the work done by that force when the body passing from its present position to the position of zero potential energy.
 
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Vatsal Goyal said:
Yes, I think it would, suppose the block is at height h in the beginning. We lift it by a distance x with velocity u. Now, if we drop it, when it reaches height h, it will have velocity v>u as only force of gravity is acting on it, hence total energy at h is greater than what it was before, then at height h+x, it must have had some extra energy, which is giving the extra kinetic energy at h.
Yes. The first step is to calculate the values of x and u. They may be positive, negative, or zero.
 
  • #10
Vatsal Goyal said:

Homework Statement


If we lift a block with constant velocity, by applying a force mg upwards, is the work done zero?

Homework Equations

The Attempt at a Solution


The work done must be zero as the resultant force is zero, what I don't understand is how does the block get potential energy if no work is being done?

Consider a car moving at constant 100mph on level ground. The net force acting on the car is also zero (it's not accelerating or decelerating). Do you think the engine is doing zero work?
 

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