A uniform chain of length \(L\) and mass \(M\) is lying on a smooth table and one-third of its length is hanging vertically down over the edge of the table. If \(g\) is the acceleration due to gravity, the work required to pull the hanging part on the table is:
1. \(MgL\)

2. \(\dfrac{MgL}{3}\)

3. \(\dfrac{MgL}{9}\)

4. \(\dfrac{MgL}{18}\)

Subtopic:  Gravitational Potential Energy |
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Level 2: 60%+
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A particle of mass \(m\) is projected at an angle \( α\) with the horizontal, with an initial velocity \(u.\) The work done by gravity during the time it reaches its highest point is:

1. \(u^{2} \sin^{2}\alpha\)

2. \(\dfrac{m u^{2} \cos^{2} \alpha}{2}\)

3. \(\dfrac{m u^{2}\sin^{2} \alpha}{2}\)

4. \(- \dfrac{m u^{2}\sin^{2} \alpha}{2}\)

Subtopic:  Gravitational Potential Energy |
 63%
Level 2: 60%+
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What is the work done by the gravitational force on block \(A\) during the first \(2\) s after the blocks are released? (assume the pulley is light)

               

1. \( 240 ~\text J\)
2. \( 200 ~\text J\)

3. \(120 ~\text J\)

4. \( 24 ~\text J\)

Subtopic:  Gravitational Potential Energy |
 66%
Level 2: 60%+
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