A body of mass \(6~\text{kg}\) is moving from its initial position \(A\) to the next position \(B\) as shown in the figure. From \(A\) to \(B\), the value of the momentum of the body is (in SI units):
1. \(24\) 2. \(12\)
3. \(8\) 4. \(6\)
Subtopic:  Linear Momentum |
 54%
Level 3: 35%-60%
NEET - 2024
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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%
Level 2: 60%+
NEET - 2022
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An object flying in the air with velocity \((20 \hat{i}+25 \hat{j}-12 \hat{k})\) suddenly breaks into two pieces whose masses are in the ratio of \(1:5.\) The smaller mass flies off with a velocity \((100 \hat{i}+35 \hat{j}+8 \hat{k})\). The velocity of the larger piece will be:
1. \( 4 \hat{i}+23 \hat{j}-16 \hat{k}\)
2. \( -100 \hat{i}-35 \hat{j}-8 \hat{k} \)
3. \( 20 \hat{i}+15 \hat{j}-80 \hat{k} \)
4. \( -20 \hat{i}-15 \hat{j}-80 \hat{k}\)

Subtopic:  Linear Momentum |
 75%
Level 2: 60%+
NEET - 2019
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A particle of mass \(5m\) at rest suddenly breaks on its own into three fragments. Two fragments of mass \(m\) each move along mutually perpendicular directions with speed \(v\) each. The energy released during the process is:

1. \(\dfrac{3}{5}mv^2\) 2. \(\dfrac{5}{3}mv^2\)
3. \(\dfrac{3}{2}mv^2\) 4. \(\dfrac{4}{3}mv^2\)
Subtopic:  Linear Momentum |
 60%
Level 2: 60%+
NEET - 2019
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