A particle which is constrained to move along the x-axis, is subjected to a force in the same direction which varies with the distance x of the particle from the origin as F(x)=kx+ax3. Here k and a are positive constants. For x0, the functional form of the potential energy U(x) of the particle is-

(1)

(2)

(3)

(4)

Subtopic:  Potential Energy: Relation with Force |
From NCERT
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NEET 2023 - Target Batch - Aryan Raj Singh
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A force F acting on an object varies with distance x as shown here. The force is in newton and x in metre. The work done by the force in moving the object from x = 0 to x = 6 m is 

(1) 4.5 J

(2) 13.5 J

(3) 9.0 J

(4) 18.0 J

Subtopic:  Work Done by Variable Force |
 89%
From NCERT
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The potential energy of a system is represented in the first figure. the force acting on the system will be represented by:

 

1.   2.
3. 4.

Subtopic:  Potential Energy: Relation with Force |
 62%
From NCERT
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NEET 2023 - Target Batch - Aryan Raj Singh

A particle, initially at rest on a frictionless horizontal surface, is acted upon by a horizontal force which is constant in size and direction. A graph is plotted between the work done (W) on the particle, against the speed of the particle, (v). If there are no other horizontal forces acting on the particle the graph would look like

(1)

(2)

(3)

(4)

Subtopic:  Work Energy Theorem |
 64%
From NCERT
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NEET 2023 - Target Batch - Aryan Raj Singh

Which of the following graphs is correct between kinetic energy (E), potential energy (U) and height (h) from the ground of the particle

(1)

(2)

(3)

(4)

Subtopic:  Gravitational Potential Energy |
 52%
From NCERT
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NEET 2023 - Target Batch - Aryan Raj Singh

The force acting on a body moving along x-axis varies with the position of the particle as shown in the fig.

The body is in stable equilibrium at

(1) x = x1

(2) x = x2

(3) both x1 and x2

(4) neither x1 nor x2

Subtopic:  Potential Energy: Relation with Force |
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NEET 2023 - Target Batch - Aryan Raj Singh
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The potential energy of a particle varies with distance x as shown in the graph. The force acting on the particle is zero at

(1) C

(2) B

(3) B and C

(4) A and D

Subtopic:  Potential Energy: Relation with Force |
 80%
From NCERT
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NEET 2023 - Target Batch - Aryan Raj Singh

Figure shows the F-x graph. Where F is the force applied and x is the distance covered by the body along a straight line path. Given that F is in newton and x in metre, what is the work done ?

(1) 10 J

(2) 20 J

(3) 30 J

(4) 40 J

Subtopic:  Work Done by Variable Force |
 83%
From NCERT
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NEET 2023 - Target Batch - Aryan Raj Singh

The force required to stretch a spring varies with the distance as shown in the figure. If the experiment is performed with the above spring of half length, the line OA will

(1) Shift towards F-axis

(2) Shift towards X-axis

(3) Remain as it is

(4) Become double in length

Subtopic:  Elastic Potential Energy |
From NCERT
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The graph between E and v is
 

1. 2.
3. 4.
Subtopic:  Work Energy Theorem |
 75%
From NCERT
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