The object \(A\) has half the kinetic energy as that of the object \(B.\) The object \(B\) has half the mass as that of the object \(A.\) The object \(A\) speeds up by \(1~\text{ms}^{-1}\) and then has the same kinetic energy as that of the object \(B.\) The initial speed of the object \(A\) is:
(Take \(\sqrt2\cong1.4\))
1. \(0.5~\text{ms}^{-1}\)
2. \(1~\text{ms}^{-1}\)
3. \(2.5~\text{ms}^{-1}\)
4. \(4.8~\text{ms}^{-1}\)
Subtopic:  Work Energy Theorem |
 51%
From NCERT
NEET - 2024
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An object is moving along the horizontal \(x\text-\)direction with an initial kinetic energy of \(10~\text J.\) It is displaced through \(x=(3\hat{i})~\text{m}\) under the influence of a force \(\vec{{{F}}}=(-2\hat{i}+3\hat{j})~\text N.\) The kinetic energy of the object at the end of the displacement \(x\) is:
1. \(10~\text{J}\) 2. \(16~\text J\)
3. \(4~\text J\) 4. \(6~\text J\)
Subtopic:  Work Energy Theorem |
 69%
From NCERT
NEET - 2024
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A bullet from a gun is fired on a rectangular wooden block with velocity \(u\). When bullet travels \(24\) cm through the block along its length horizontally, velocity of bullet becomes \(u/3\). Then it further penetrates into the block in the same direction before coming to rest exactly at the other end of the block. The total length of the block is:
1. \(30\) cm 2. \(27\) cm
3. \(24\) cm 4. \(28\) cm
Subtopic:  Work Energy Theorem |
 69%
From NCERT
NEET - 2023
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