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Concepts Of Physics MCQ Edition [Volume 1]
Exam
Concepts Of Physics MCQ Edition [Volume 1]
Subject
Physics
Chapter
Work and Energy

Concepts Of Physics MCQ Edition [Volume 1] · Physics · Work and Energy

A person lifts a suitcase from the floor and places it on a table....

A person lifts a suitcase from the floor and places it on a table. The work done by the person on the suitcase does not depend on

Options

  1. Athe time taken by the person to do so
  2. Bthe weight of the person
  3. Cthe weight of the suitcase
  4. Dthe path taken by the suitcase

Correct answer

D. the path taken by the suitcase

Step-by-step solution

By the work-energy theorem, the net work done on the suitcase is equal to its change in kinetic energy.

Since the suitcase starts from rest on the floor and comes to rest on the table, the change in kinetic energy is zero.

Wnet=Wperson+Wgravity=0W_{\text{net}} = W_{\text{person}} + W_{\text{gravity}} = 0

Wperson=−WgravityW_{\text{person}} = -W_{\text{gravity}}

The work done by gravity is −mgh-mgh, where mgmg is the weight of the suitcase and hh is the height of the table.

Wperson=mghW_{\text{person}} = mgh

This shows that the work done by the person on the suitcase depends only on the weight of the suitcase and the vertical displacement.

It does not depend on the time taken to lift it, the weight of the person, or the path taken by the suitcase (since gravity is a conservative force).
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