The potential energy of a 1 kg particle free to move along the x-axis is given by:

U(x) = x44-x22J

The total mechanical energy of the particle is 2J. Then, the maximum speed (in ms-1) will be
1. \(3 \over \sqrt{2} \)
2. \(\sqrt{2}\)
3. \(1 \over \sqrt{2}\)
4. 2

Subtopic:  Conservation of Mechanical Energy |
From NCERT
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 moves with a velocity of (5i^-3j^+6k^)m/s under the influence of a constant force F=(10i^+10j^+20k^) N. The instantaneous power applied to the particle is:

1. 200 J/s 2. 40 J/s
3. 140 J/s 4. 170 J/s
Subtopic:  Power |
 91%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
Links
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

The position-time graph of a particle of mass 2 kg is shown in the figure. Total work done on the particle from t = 0 to t = 4s is:
      

1. 8 J 2. 4 J
3. 0 J 4. Can't be determined
Subtopic:  Work done by constant force |
 57%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
Links
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

In the diagram shown, force F acts on the free end of the string. If the weight W moves up slowly by distance h, then work done on the weight by the string holding it will be: (Pulley and string are ideal)

1. Fh

2. 2Fh

3. Fh2

4. 4Fh

Subtopic:  Work done by constant force |
 67%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
Links
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

A body of mass 'm' is released from the top of a fixed rough inclined plane as shown in the figure. If the frictional force has magnitude F, then the body will reach the bottom with a velocity: (L=2h)

     

1. \(\sqrt{2 g h} \) 2. \(\sqrt{\frac{2 F h}{m}} \)
3. \(\sqrt{2 g h+\frac{2 F h}{m}} \) 4. \(\sqrt{2 g h-\frac{2 \sqrt{2} F h}{m}}\)
Subtopic:  Work Energy Theorem |
 62%
From NCERT
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 body constrained to move along the \(\mathrm{z}\)-axis of a coordinate system is subjected to constant force given by \(\vec{F}=-\hat{i}+2 \hat{j}+3 \hat{k}\) where \(\hat{i},\hat{j} \) and \(\hat{k}\) are unit vectors along the \(\mathrm{x}\)-axis, \(\mathrm{y}\)-axis and \(\mathrm{z}\)-axis of the system respectively. The work done by this force in moving the body a distance of \(4\) m along the \(\mathrm{z}\)-axis will be:
1. \(15\) J
2. \(14\) J
3. \(13\) J
4. \(12\) J

Subtopic:  Concept of Work |
 89%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
Links
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

A particle of mass 'm' is projected at an angle 'α' with the horizontal, with an initial velocity 'u'. The work done by gravity during the time it reaches its highest point is:

1. u2sin2a

2. mu2cos2α2

3. mu2sin2α2

4. -mu2sin2α2

Subtopic:  Gravitational Potential Energy |
 60%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
Links
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

The potential energy of a particle varies with distance r as shown in the graph. The force acting on the particle is equal to zero at:

                                

1. P 2. S
3. Both Q and R 4. Both P and S
Subtopic:  Potential Energy: Relation with Force |
 88%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
Links
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

A block of mass m is placed in an elevator moving down with an acceleration g3. The work done by the normal reaction on the block as the elevator moves down through a height h is:

1.  -2mgh3

2.  -mgh3

3.  2mgh3

4.  mgh3

Subtopic:  Work done by constant force |
 66%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
Links
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

A particle is moving such that the potential energy U varies with position in metre as U (x) = (4x2 - 2x + 50) J. The particle will be in equilibrium at: 
1. x = 25 cm
2. x = 2.5 cm
3. x = 25 m
4. x = 2.5 m

Subtopic:  Potential Energy: Relation with Force |
 78%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
Links
To view explanation, please take trial in the course.
NEET 2025 - Target Batch