Q. No.The system, shown in adjacent diagram, is released from rest. The block \(B\) falls through a height \(h.\) There is no friction anywhere, and the pulley and string are ideal. The increase in the kinetic energy of \(A\) is:
1.
zero
2.
\(mgh\)
3.
\(\Large\frac{mgh}{2}\)
4.
\(2mgh\)
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| 1. | is positive |
| 2. | is negative |
| 3. | is zero |
| 4. | can be positive, negative or zero depending on the man's acceleration. |
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| 1. | zero throughout the motion |
| 2. | positive |
| 3. | negative |
| 4. | positive during half the motion and negative during the other half |
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| 1. | \(\dfrac{1}{2}\) | 2. | \(\dfrac{\sqrt3}{2}\) |
| 3. | \(\dfrac{1}{4}\) | 4. | \(\dfrac{3}{4}\) |
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1. \(1\)
2. \(2\)
3. \(6\)
4. \(8\)
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The time \((t),\) when the balls collide with each other for the first time, is:
1. \(1~\text s\)
2. \(1.5~\text s\)
3. \(2~\text s\)
4. \(3~\text s\)
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The two balls \((A~\&~B)\) collide with the walls at time \((t)\):
1. \(1.5~\text s,3~\text s\)
2. \(3~\text s,6~\text s\)
3. \(6~\text s,3~\text s\)
4. \(6~\text s,6~\text s\)
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The time interval between the first collision and the second collision between the balls is:
1. \(6~\text{s}\)
2. \(3~\text{s}\)
3. \(4.5~\text{s}\)
4. \(4~\text{s}\)
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The work done by the force \(F\) equals:
1. \(\dfrac{Fd}{2}\)
2. \(Fd\)
3. \(2Fd\)
4. \(\dfrac{Fd}{3}\)
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The potential energy stored in the spring equals:
| 1. | \(\Large\frac{Fd}{2}\) | 2. | \(Fd\) |
| 3. | \(\Large\frac{2Fd}{3}\) | 4. | \(\Large\frac{Fd}{3}\) |
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