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 |
 67%
From NCERT
NEET - 2023
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A particle moves with a velocity \((5\hat i-3\hat j+6\hat k)\) ms-1 horizontally under the action of constant force \((10\hat i+10\hat j+20\hat k)\) N. The instantaneous power supplied to the particle is:
1. \(200\) W
2. zero
3. \(100\) W
4. \(140\) W
Subtopic:  Power |
 74%
From NCERT
NEET - 2023
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A particle with total energy \(E\) is moving in a potential energy region \(U(x).\) The motion of the particle is restricted to the region where:
1. \(U(x)<E\)
2. \(U(x)=0\)
3. \(U(x)\leq E\)
4. \(U(x)> E\)
Subtopic:  Conservation of Mechanical Energy |
From NCERT
NEET - 2013
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A gravitational field is present in a region and a mass is shifted from \(A\) to \(B\) through different paths as shown. If \(W_1\), \(W_2\) and \(W_3\) represent the work done by the gravitational force along their respective paths, then:
1. \(W_1=W_2=W_3\) 2. \(W_1>W_2>W_3\)
3. \(W_1>W_3>W_2\) 4. \(W_1<W_2<W_3\)
Subtopic:  Gravitational Potential Energy |
 85%
From NCERT
NEET - 2022
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The work done by a force  \(F=2x^2\) (newton) in a displacement from \(x=0\) (origin) to \(x=3\) m is:
1. \(54\) J
2. \(27\) J
3. \(18\) J
4. \(9\) J
Subtopic:  Work Done by Variable Force |
 83%
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A force of \(100\) N acts on a block, always acting opposite to its velocity. The block moves from \(x=4\) m to \(x=10\) m and then to \(x=6\) m. The work done by the force is:
1.  \(200\) J
2.  \(-200\) J
3.  \(1000\) J
4.  \(-1000\) J
Subtopic:  Work done by constant force |
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A particle of mass \(4M\) kg at rest splits into two particles of mass \(M\) and \(3M.\) The ratio of the kinetic energies of mass \(M\) and \(3M\) would be:

1. \(3:1\) 2. \(1:4\)
3. \(1:1\) 4. \(1:3\)
Subtopic:  Collisions |
 63%
From NCERT
NEET - 2022
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The work done by gravity on a projectile of mass \(m\) fired with a speed \(u\) at an angle \(\theta\) to the horizontal, until the time of impact is:
          
1. zero 2. \(-\frac12mu^2cos^2\theta\)
3. \(-\frac12mu^2sin^2\theta\) 4. \(-\frac12mu^2\)
Subtopic:  Work done by constant force |
 59%
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A car is driven by an engine that delivers constant power (except possibly at the initial instant). If it starts from rest, its displacement varies with time \((t)\) as:
1. \(t\)
2. \(\sqrt t\)
3. \(\frac{1}{\sqrt t}\)
4. \(t\sqrt t\)
Subtopic:  Power |
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A horizontal force \(F\) acts on a \(2\) kg block placed on a smooth horizontal plane. It varies with time \(t\) as shown in the figure. The block is initially at rest.
           
The work done by the force until \(t=2\) s, equals:
1. \(6.25 \) J
2. \(4.5 \) J
3. \(2.25 \) J
4. \(1.5\) J
Subtopic:  Work Done by Variable Force |
 62%
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