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%
From NCERT
Please attempt this question first.
Hints
Please attempt this question first.

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
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

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
Please attempt this question first.
Hints
Please attempt this question first.

advertisementadvertisement

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 |
From NCERT
Please attempt this question first.
Hints
Please attempt this question first.

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
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

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 |
 58%
From NCERT
Please attempt this question first.
Hints
Please attempt this question first.

advertisementadvertisement

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 |
From NCERT
Please attempt this question first.
Hints
Please attempt this question first.

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%
From NCERT
Please attempt this question first.
Hints
Please attempt this question first.

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 (\(x\)):    \(\theta=\frac{1}{2} x,\)
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
Subtopic:  Work Done by Variable Force |
From NCERT
Please attempt this question first.
Hints
Please attempt this question first.

advertisementadvertisement

A particle undergoes an elastic collision with an identical particle at rest. After the collision, the two particles move with velocities \(\overrightarrow{v_1},~\overrightarrow{v_2}\). Final velocities \(\overrightarrow{v_1},~\overrightarrow{v_2}\) are in different directions.
The angle between \(\overrightarrow{v_1}\) and \(\overrightarrow{v_2}\) is:
1. \(\dfrac{\pi}{6}\) 2. \(\dfrac{\pi}{3}\)
3. \(\dfrac{\pi}{2}\) 4. \(\dfrac{2\pi}{3}\)
Subtopic:  Collisions |
 73%
From NCERT
Please attempt this question first.
Hints
Please attempt this question first.