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Q. No.A particle is displaced through \((3 \hat{i}+4 \hat{j})~\text{m}\) by force \(2 \hat{i}~\text{N}\). The work done is:
1. \(14~\text{J}\)
2. \(8~\text{J}\)
3. \(6~\text{J}\)
4. \(10~\text{J}\)
Subtopic: Work done by constant force |
86%
Level 1: 80%+
NEET - 2024
Hints
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 \(\sqrt2\cong1.4\))
(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%
Level 3: 35%-60%
NEET - 2024
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At any instant of time \(t,\) the displacement of any particle is given by \(2t-1\) (SI unit) under the influence of the force of \(5~\text N.\) The value of instantaneous power (in SI units) is:
1. \(5\)
2. \(7\)
3. \(6\)
4. \(10\)
1. \(5\)
2. \(7\)
3. \(6\)
4. \(10\)
Subtopic: Power |
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Level 2: 60%+
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Two bodies \(A\) and \(B\) of the same mass undergo completely inelastic one-dimensional collision. The body \(A\) moves with velocity \(v_1\) while the body \(B\) is at rest before collision. The velocity of the system after collision is \(v_2.\) The ratio of \(v_1:v_2\) is:
1. \(2:1\)
2. \(4:1\)
3. \(1:4\)
4. \(1:2\)
1. \(2:1\)
2. \(4:1\)
3. \(1:4\)
4. \(1:2\)
Subtopic: Collisions |
65%
Level 2: 60%+
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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 |
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Level 2: 60%+
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An object falls from a height of \(10~\text m\) above the ground. After striking the ground it loses \(50\%\) of its kinetic energy. The height up to which the object can re-bounce from the ground is:
| 1. | \(7.5~\text m\) | 2. | \(10~\text m\) |
| 3. | \(2.5~\text m\) | 4. | \(5~\text m\) |
Subtopic: Gravitational Potential Energy |
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Level 2: 60%+
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The kinetic energies of two similar cars \(A\) and \(B\) are \(100~\text J\) and \(225~\text J\) respectively. On applying breaks, car \(A\) stops after \(1000~\text m\) and car \(B\) stops after \(1500~\text m.\) If \(F_A\) and \(F_B\) are the forces applied by the breaks on cars \(A\) and \(B,\) respectively, then the ratio \(F_A/F_B\) is:
| 1. | \(\dfrac{1}{3}\) | 2. | \(\dfrac{1}{2}\) |
| 3. | \(\dfrac{3}{2}\) | 4. | \(\dfrac{2}{3}\) |
Subtopic: Work Energy Theorem |
61%
Level 2: 60%+
NEET - 2025
Please attempt this question first.
Hints
Please attempt this question first.
A bob of heavy mass \(m\) is suspended by a light string of length \(l.\) The bob is given a horizontal velocity \(v_0\) as shown in figure. If the string gets slack at some point \(P\) making an angle \(\theta \) from the horizontal, the ratio of the speed \(v\) of the bob at point \(P\) to its initial speed \(v_0\) is:
| 1. | \(\left(\dfrac{\cos \theta}{2+3 \sin \theta}\right)^{-1 / 2}\) | 2. | \(\left(\dfrac{\sin \theta}{2+3 \sin \theta}\right)^{1 / 2}\) |
| 3. | \((\sin \theta)^{1 / 2}\) | 4. | \(\left(\dfrac{1}{2+3 \sin \theta}\right)^{1 / 2}\) |
Subtopic: Conservation of Mechanical Energy |
58%
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NEET - 2025
Please attempt this question first.
Hints
Please attempt this question first.
A particle moves with a velocity \((5\hat i-3\hat j+6\hat k)~\text{ms}^{-1}\) horizontally under the action of a constant force \((10\hat i+10\hat j+20\hat k)~\text N.\) The instantaneous power supplied to the particle is:
| 1. | \(200~\text W\) | 2. | zero |
| 3. | \(100~\text W\) | 4. | \(140~\text W\) |
Subtopic: Power |
80%
Level 1: 80%+
NEET - 2023
Hints
A bullet of mass \(m\) hits a stationary block of mass \(M\) elastically. The transfer of energy is the maximum, when:
1. \(M=m\)
2. \(M=2m\)
3. \(M\ll m\)
4. \(M\gg m\)
1. \(M=m\)
2. \(M=2m\)
3. \(M\ll m\)
4. \(M\gg m\)
Subtopic: Collisions |
58%
Level 3: 35%-60%
NEET - 2023
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