Choose the correctly matched pair.a) Work done when force is zero - Po...
- Let's evaluate each option based on the principles described in the text:
- Option A: (a) Work done when force is zero - Positive work
This is incorrect. When the force applied is zero, no work is done, regardless of any displacement.
- Option B: (b) Work done when force and displacement are in opposite directions - Negative work
This is correct. When the force acts in the opposite direction to the displacement, the work done is negative, as explained in the text.
- Option C: (c) Work done when force is applied but no displacement occurs - Work is done
This is incorrect. For work to be done according to the scientific definition, there must be both force and displacement. If there's no displacement, no work is done.
- Option D: (d) Work done when force and displacement are perpendicular - Maximum work
This is incorrect. When force and displacement are perpendicular, no work is done because the cosine of 90 degrees is zero, making the work zero.
- Therefore, the correctly matched pair is Option B.
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Choose the correctly matched pair.a) Work done when force is zero - Po...
Understanding Work Done in Physics
In physics, the concept of work is defined as the transfer of energy that occurs when a force is applied to an object, causing it to move. The relationship between force, displacement, and the angle between them is crucial in determining the nature of work done.
Correct Answer Explanation: Option B
- Work Done with Opposite Directions
When the force applied to an object is in the opposite direction to its displacement, the work done is considered negative. This means that the force is acting against the motion, effectively removing energy from the system. Common examples include frictional forces where the friction opposes the motion of a sliding object.
Why Other Options are Incorrect
- Option A: Work Done When Force is Zero
If the force is zero, then no work is done at all, not positive work.
- Option C: Force Applied but No Displacement
If there is no displacement, then no work is done, irrespective of the force applied.
- Option D: Force and Displacement are Perpendicular
When force and displacement are perpendicular, the work done is zero, not maximum. This is because the angle (90 degrees) results in no effective force contributing to the displacement.
Conclusion
Understanding these principles is essential for grasping the fundamental concepts in physics. Option B accurately describes a scenario where negative work occurs, highlighting the relationship between force and displacement effectively.