A particle of mass m1 is moving with a velocity v1 and another particle of mass m2 is moving with a velocity v2. Both of them have the same momentum, but their kinetic energies are E1 and E2 respectively. If m1 > m2 then: 

1. E1E2=m1 m2

2. E1>E2

3. E1=E2

4. E1<E2

Subtopic:  Concept of Work |
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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 |
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If two springs, A and B (KA = 2 KB), are stretched by the same suspended weights, then the ratio of work done in stretching is equal to:
1.  1 : 2
2.  2 : 1
3.  1 : 1
4.  1 : 4

Subtopic:  Elastic Potential Energy |
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When a spring is subjected to 4N force, its length is a metre and if 5N is applied, its length is b metre. If 9N is applied, its length will be:

1.  4b – 3a

2.  5b – a

3.  5b – 4a

4.  5b – 2a

Subtopic:  Elastic Potential Energy |
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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 |
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If a stone is projected vertically upward from the ground at a speed of 10 m/s, then it's: (g = 10 m/s2)

1.  Potential energy will be maximum after 0.5 s

2.  Kinetic energy will be maximum again after 1 s

3.  Kinetic energy = potential energy at a height of 2.5 m from the ground

4.  Potential energy will be minimum after 1 s

Subtopic:  Conservation of Mechanical Energy |
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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 |
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A rigid body of mass 'm' is moving in a circle of radius 'r' with constant speed '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 |
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A particle of mass 10 kg moves with a velocity of 10x SI units, where x is displacement. The work done by the net force during the displacement of the particle from x = 4 m to x = 9 m is:

1.  1250 J

2.  1000

3.  3500 J

4.  2500 J

Subtopic:  Work Energy Theorem |
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The potential energy of a particle of mass m varies as the magnitude of the U=ax2+by. The magnitude of the acceleration of the particle at (0, 3) is: (symbols have their usual meaning)

1.  bm

2.  3bm

3.  bm

4.  Zero

Subtopic:  Potential Energy: Relation with Force |
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