You lift a suitcase from the floor and keep it on a table. The work done by you on the suitcase does not depend upon:
Correct answer: D. A and B
- A. The path taken by the suitcase
- B. The time taken by you in doing work
- C. Weight of the suitcase
- D. A and B
Explanation
let's explain each option: Option A The work done on an object does depend on the path taken. When lifting a suitcase, the work done is calculated based on the force applied and the displacement in the direction of the force. If the path taken is straight up, the displacement is directly vertical, resulting in the maximum work done. However, if the path is curved or not directly vertical, the displacement is smaller, and the work done is reduced. Therefore, the work done on the suitcase does depend on the path taken. Option B Work = force x distance The time taken to perform the work is not directly involved in the calculation of work. Whether you lift the suitcase quickly or slowly, the work done on the suitcase remains the same as long as the force and displacement are constant. Therefore, the work done on the suitcase does not depend on the time taken to do the work. Option C Work = force x distance The weight of an object is the force of gravity acting on it. When you lift the suitcase, you exert an upward force equal to the weight of the suitcase to counteract gravity. The work done on the suitcase is directly proportional to the force applied and the vertical displacement. Since the weight of the suitcase is involved in determining the force required to lift it, it does affect the work done. Therefore, the work done on the suitcase depends on the weight of the suitcase. Option D Both options A and B are correct. the work done does not depend on either the path taken or the time taken.
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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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