A block is released from rest from a height of h = 5 m. After travelling through the smooth curved surface, it moves on the rough horizontal surface through a length l = 8 m and climbs onto the other smooth curved surface at a height h'. If μ = 0.5, find h'.

          

1. 2 m 2. 3 m
3. 1 m 4. Zero

Subtopic:  Work Energy Theorem |
 64%
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A particle is released from a height of \(S\) above the surface of the earth. At a certain height, its kinetic energy is three times its potential energy. The distance from the earth's surface and the speed of the particle at that instant are respectively: 
1. \({S \over 2},{ \sqrt{3gS} \over 2}\) 2. \({S \over 4}, \sqrt{3gS \over 2}\)
3. \({S \over 4},{ {3gS} \over 2}\) 4. \({S \over 4},{ \sqrt{3gS} \over 3}\)
Subtopic:  Gravitational Potential Energy |
 69%
From NCERT
NEET - 2021
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A rigid body of mass \(\mathrm{m}\) is moving in a circle of radius \(\mathrm{r}\) with constant speed \(\mathrm{v}.\) The force on the body is mv2r and is always directed towards the center. The work done by this force in moving the body over half the circumference of the circle will be:
1. mv2 
2. mr2π
3. zero
4. 2mv2π

Subtopic:  Concept of Work |
 74%
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The kinetic energy of a body is increased by 21%. The percentage increase in the magnitude of linear momentum of the body will be:

1.  10%

2.  20%

3.  Zero

4.  11.5%

Subtopic:  Concept of Work |
 63%
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A body initially at rest and sliding along a frictionless track from a height h (as shown in the figure) just completes a vertical circle of diameter AB = D. The height h is equal to: 
            

1. 32D

2. D

3. 74D

4. 54D

Subtopic:  Conservation of Mechanical Energy |
 73%
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When a spring is subjected to 4 N force, its length is a metre and if 5 N is applied, its length is b metre. If 9 N is applied, its length will be:

1.  4b – 3a

2.  5b – a

3.  5b – 4a

4.  5b – 2a

Subtopic:  Elastic Potential Energy |
 70%
From NCERT
AIPMT - 1999
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A mass of \(0.5\) kg moving with a speed of \(1.5\) m/s on a horizontal smooth surface, collides with a nearly weightless spring with force constant \(k=50\) N/m. The maximum compression of the spring would be:
           
1. \(0.12\) m
2. \(1.5\) m
3. \(0.5\) m
4. \(0.15\) m

Subtopic:  Elastic Potential Energy |
 81%
From NCERT
AIPMT - 2004
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A ball is dropped from a height of \(5\) m. If it rebounds up to a height of \(1.8\) m, then the ratio of velocities of the ball after and before the rebound will be:
1. 35

2. 25

3. 15

4. 45 

Subtopic:  Conservation of Mechanical Energy |
 75%
From NCERT
AIPMT - 1998
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The bob of a simple pendulum having length l, is displaced from the mean position to an angular position θ with respect to vertical. If it is released, then the velocity of the bob at the lowest position will be:

1. 2gl(1-cosθ)

2. 2gl(1+cos θ)

3. 2gl cosθ

4. 2gl

Subtopic:  Work Energy Theorem |
 79%
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AIPMT - 2000
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A block of mass \(m\) is being lowered by means of a string attached to it. The system moves down with a constant velocity. Then:
                                         
1. Work done by gravity on the block is positive.

2. Work done by F (the force of the string) on the block is negative.

3. Work done by gravity is equal in magnitude to that done by the string.

4. All of the above are true.

Subtopic:  Concept of Work |
 76%
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