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 acceleration due to gravity, the work required to pull the hanging part on the table is:

1. $$MgL$$

2. $$MgL/3$$

3. $$MgL/9$$

4. $$MgL/18$$

Subtopic:  Gravitational Potential Energy |
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In the given figure, a man pulls the mass m with the help of a rope. Work done by the man against gravity when mass is lifted by 0.5 m is: (g = 10 $\mathrm{m}/{\mathrm{s}}^{2}$)

1. 50 J
2. 100 J
3. 25 J
4. Zero

Subtopic:  Gravitational Potential Energy |
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A particle of mass 'm' is projected at an angle '$\mathrm{\alpha \text{'}}$ with the horizontal, with an initial velocity 'u'. The work done by gravity during the time it reaches its highest point is:

1. ${u}^{2}{\mathrm{sin}}^{2}a$

2. $\frac{m{u}^{2}{\mathrm{cos}}^{2}\alpha }{2}$

3. $\frac{m{u}^{2}{\mathrm{sin}}^{2}\alpha }{2}$

4. $-\frac{m{u}^{2}{\mathrm{sin}}^{2}\alpha }{2}$

Subtopic:  Gravitational Potential Energy |
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What is the work done by gravity on block A in 2 seconds after the blocks are released? (Pulley is light)

1.  240 J

2.  200 J

3.  120 J

4.  24 J

Subtopic:  Gravitational Potential Energy |
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