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Work done by or against a conservative force in a round trip is
- a)zero
- b)minimum
- c)maximum
- d)may be maximum or zero
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Work done by or against a conservative force in a round trip isa)zerob...
A conservative force is a force with the property that the total work done in moving a particle between two points is independent of the taken path. Equivalently, if a particle travels in a closed loop, the total work done (the sum of the force acting along the path multiplied by the displacement) by a conservative force is zero.
Most Upvoted Answer
Work done by or against a conservative force in a round trip isa)zerob...
Understanding Work Done by Conservative Forces
In physics, conservative forces are those that have the property that the work done by or against them is path-independent. This means the work done depends only on the initial and final positions and not on the trajectory taken.
Key Concept: Round Trip
- When an object moves from point A to point B and then back to A, it completes a round trip.
- For conservative forces, the work done along the entire path (A to B and back to A) is zero.
Why is Work Zero?
- The work done by a conservative force when moving from A to B is equal in magnitude but opposite in sign to the work done when returning from B to A.
- Mathematically, if \( W_{AB} \) is the work done from A to B, and \( W_{BA} \) is the work done from B to A, then:
\[
W_{total} = W_{AB} + W_{BA} = W_{AB} - W_{AB} = 0
\]
Examples of Conservative Forces
- Gravitational force
- Electrostatic force
- Spring force
These forces exhibit the property of being path-independent, leading to zero net work in a round trip.
Implications
- Since the work done is zero, it implies that energy is conserved in the system.
- This principle is crucial in understanding mechanical energy conservation, where potential and kinetic energy interchange without loss.
In conclusion, the work done by or against a conservative force in a round trip is indeed zero, reinforcing the nature of energy conservation in physics.
In physics, conservative forces are those that have the property that the work done by or against them is path-independent. This means the work done depends only on the initial and final positions and not on the trajectory taken.
Key Concept: Round Trip
- When an object moves from point A to point B and then back to A, it completes a round trip.
- For conservative forces, the work done along the entire path (A to B and back to A) is zero.
Why is Work Zero?
- The work done by a conservative force when moving from A to B is equal in magnitude but opposite in sign to the work done when returning from B to A.
- Mathematically, if \( W_{AB} \) is the work done from A to B, and \( W_{BA} \) is the work done from B to A, then:
\[
W_{total} = W_{AB} + W_{BA} = W_{AB} - W_{AB} = 0
\]
Examples of Conservative Forces
- Gravitational force
- Electrostatic force
- Spring force
These forces exhibit the property of being path-independent, leading to zero net work in a round trip.
Implications
- Since the work done is zero, it implies that energy is conserved in the system.
- This principle is crucial in understanding mechanical energy conservation, where potential and kinetic energy interchange without loss.
In conclusion, the work done by or against a conservative force in a round trip is indeed zero, reinforcing the nature of energy conservation in physics.
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Work done by or against a conservative force in a round trip isa)zerob...
Conservative force- A force is said to be conservative if the work done by the force depends only on initial and final positions of the body and not on the path taken.
The work done by a conservative force during a round trip of a system is always zero.
eg. spring force, gravitational force.
Non-conservative force- A force is said to be non-conservative if the work done by the force between two given positions of the body depends upon the path taken by the body.
For a round trip work done by the non-conservative force is non-zero.
eg. Frictional force.
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