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Q. No.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: Â Gravitational Potential Energy |
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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
1. \(54\) J
2. \(27\) J
3. \(18\) J
4. \(9\) J
Subtopic: Â Work Done by Variable Force |
 83%
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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. \(U(x)> E\)
1. \(U(x)<E\)
2. \(U(x)=0\)
3. \(U(x)\leq E\)
4. \(U(x)> E\)
Subtopic: Â Conservation of Mechanical Energy |
From NCERT
NEET - 2013
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A force of \(100~\text N\) acts on a block, always acting opposite to its velocity. The block moves from \(x=4~\text m\) to \(x=10~\text m\) and then to \(x=6~\text {m.}\) The work done by the force is:
1. \(200~\text J\)
2. \(-200~\text J\)
3. \(1000~\text J\)
4. \(-1000~\text J\)
1. \(200~\text J\)
2. \(-200~\text J\)
3. \(1000~\text J\)
4. \(-1000~\text J\)
Subtopic: Â Work done by constant force |
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A particle of mass \(4M\) 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. \(1:3\)
1. \(3:1\)
2. \(1:4\)
3. \(1:1\)
4. \(1:3\)
Subtopic: Â Collisions |
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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. | \(-\dfrac12mu^2\cos^2\theta\) |
| 3. | \(-\dfrac12mu^2\sin^2\theta\) | 4. | \(-\dfrac12mu^2\) |
Subtopic: Â Work done by constant force |
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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. \(\dfrac{1}{\sqrt t}\)
4. \(t\sqrt t \)
1. \(t\)
2. \(\sqrt t \)
3. \(\dfrac{1}{\sqrt t}\)
4. \(t\sqrt t \)
Subtopic: Â Power |
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A horizontal force \(F\) acts on a \(2~\text{kg}\) 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 \(t=2~\text s,\) equals:
1. \(6.25 ~\text J\)
2. \(4.5 ~\text J\)
3. \(2.25 ~\text J\)
4. \(1.5~\text J\)
The work done by the force until \(t=2~\text s,\) equals:
1. \(6.25 ~\text J\)
2. \(4.5 ~\text J\)
3. \(2.25 ~\text J\)
4. \(1.5~\text J\)
Subtopic: Â Work Done by Variable Force |
 63%
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A block is moved along a horizontal plane by means of a force of constant magnitude of \(5\) N, but acting at an angle \(\theta\) which is proportional to the displacement (\(x\)): \(\theta=\dfrac{1}{2} x,\)
where \(x\) is in \(\text{m}\) and \(\theta\) is in radians. The work done by this force until the force becomes vertical is:
1. \(5\) J
2. \(10 \) J
3. \(2.5 \) J
4. \(1.25\) J
where \(x\) is in \(\text{m}\) and \(\theta\) is in radians. The work done by this force until the force becomes vertical is:
1. \(5\) J
2. \(10 \) J
3. \(2.5 \) J
4. \(1.25\) J
Subtopic: Â Work Done by Variable Force |
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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: Â Work Energy Theorem |
 70%
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NEET - 2023
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