A man and a plank system are moving horizontally on a smooth surface with a velocity of \(10~\text{m/s}.\) With what velocity should the man jump out of the plank so that the plank comes to rest if the mass of the plank is double the mass of the man?
1. \(10~\text{m/s}\)
2. \(20~\text{m/s}\)
3. \(30~\text{m/s}\)
4. not possible
Subtopic:  Linear Momentum |
 66%
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A man standing on a still boat jumps out horizontally with a speed of \(20~\text{m/s}\) with respect to the boat. If the mass of a man is \(70~\text{kg}\) and that of the boat is \(210~\text{kg},\) then the speed of the boat after the man jumps will be:
1. \(20~\text{m/s}\)
2. \(6.67~\text{m/s}\)
3. \(5~\text{m/s}\)
4. \(15~\text{m/s}\)
Subtopic:  Linear Momentum |
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A shell of mass m is at rest initially. It explodes into three fragments having masses in the ratio \(2:2:1\). If the fragments having equal masses fly off along mutually perpendicular directions with speed \(v,\) the speed of the third (lighter) fragment is:
1. \(3 \sqrt{2} v\) 2. \(v\)
3. \(\sqrt{2} v\) 4. \(2 \sqrt{2} v\)
Subtopic:  Linear Momentum |
 71%
From NCERT
NEET - 2022
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A body of mass \(6~\text{kg}\) is moving from its initial position \(A\) to the next position \(B\) as shown in figure. From \(A\) to \(B\), the value of momentum of the body is: (in SI unit)
1. \(24\) 2. \(12\)
3. \(8\) 4. \(6\)
Subtopic:  Linear Momentum |
 54%
From NCERT
NEET - 2024
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