Work done in moving a body along a closed path in a conservative field is:
Correct answer: B. Zero
- A. Fd
- B. Zero
- C. -mgh
- D. mgh
Explanation
Option B is correct"The field in which work done on a body does not depend on the path followed by the body is called conservative field".The work done in moving a body along a closed path in a conservative field is zero. This is because the work done by a conservative force is path independent. This means that the work done by a conservative force does not depend on the path taken by the body. Here is a mathematical explanation: The work done by a conservative force is given by the following equation: W = -ΔU where: W is the work done by the force ΔU is the change in the potential energy of the body A closed path is a path that starts and ends at the same point. If a body moves along a closed path in a conservative field, the change in the potential energy of the body is zero. This is because the body returns to its initial position, and therefore, its potential energy returns to its initial value. Since the change in the potential energy of the body is zero, the work done by the force is also zero. Here is an example: Suppose a body is moved along a closed path in a gravitational field. The work done by the gravitational force on the body is zero. This is because the body returns to its initial position, and therefore, its gravitational potential energy returns to its initial value.
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About Work and Energy
Work transfers energy when a force causes displacement, while kinetic energy, gravitational potential energy and power describe motion, position and the rate of energy transfer. The work-energy theorem links net work with change in kinetic energy, and efficiency accounts for energy losses rather than treating them as energy destruction.
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