A bomb of 12 kg explodes into two pieces of masses 4 kg and 8 kg. The velocity of 8kg mass is 6 m/sec. The kinetic energy of the other mass is 

(1) 48 J

(2) 32 J

(3) 24 J

(4) 288 J

Subtopic:  Collisions |
 83%
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PMT - 1991
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If the kinetic energy of a body becomes four times of its initial value, then new momentum will

(1) Becomes twice its initial value

(2) Become three times its initial value

(3) Become four times its initial value

(4) Remains constant

Subtopic:  Conservation of Mechanical Energy |
 85%
From NCERT
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A bullet is fired from a rifle. If the rifle recoils freely, then the kinetic energy of the rifle is 

(1) Less than that of the bullet

(2) More than that of the bullet

(3) Same as that of the bullet

(4) Equal or less than that of the bullet

Subtopic:  Collisions |
 62%
From NCERT
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If the water falls from a dam into a turbine wheel 19.6 m below, then the velocity of water at the turbine is (g = 9.8 m/s2) 

(1) 9.8 m/s

(2) 19.6 m/s

(3) 39.2 m/s

(4) 98.0 m/s

Subtopic:  Gravitational Potential Energy |
 88%
From NCERT
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Two identical cylindrical vessels with their bases at the same level each contain a liquid of density; ρ. The height of the liquid in one vessel is h1 and that in the other vessel is h2 h1>h2.The area of either base is A. The work done by gravity in equalizing the levels when the two vessels are connected is :

(1) (h1h2)gρ

(2) (h1h2)gAρ

(3) 12(h1h2)2gAρ

(4) 14(h1h2)2gAρ

Subtopic:  Gravitational Potential Energy |
From NCERT
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If the increase in the kinetic energy of a body is 21%, then the increase in the momentum will be:
1. 22%
2. 44%
3. 10%
4. 300%

Subtopic:  Conservation of Mechanical Energy |
 63%
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If a body of mass 200 g falls from a height 200 m and its total P.E. is converted into K.E. at the point of contact of the body with earth surface, then what is the decrease in P.E. of the body at the contact (g = 10 m/s2) 

(1) 200 J

(2) 400 J

(3) 600 J

(4) 900 J

Subtopic:  Gravitational Potential Energy |
 86%
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If momentum is increased by \(20\text{%}\) then kinetic energy increases by: 
1. \(44\text{%}\)
2. \(55\text{%}\)
3. \(66\text{%}\)
4. \(77\text{%}\)

Subtopic:  Conservation of Mechanical Energy |
 89%
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The kinetic energy of a body of mass 2 kg and momentum of 2 Ns is 

(1) 1 J

(2) 2 J

(3) 3 J

(4) 4 J

Subtopic:  Conservation of Mechanical Energy |
 87%
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The decrease in the potential energy of a ball of mass 20 kg which falls from a height of 50 cm is 

(1) 968 J

(2) 98 J

(3) 1980 J

(4) None of these

Subtopic:  Gravitational Potential Energy |
 86%
From NCERT
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