A running man has half the kinetic energy of that of a boy of half of his mass. The man speeds up by 1m/s so as to have same K.E. as that of the boy. The original speed of the man will be 

(1) 2m/s

(2) (21)m/s

(3) 1(21)m/s

(4) 12m/s 

Subtopic:  Concept of Work |
 56%
From NCERT
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A particle of mass m at rest is acted upon by a force F for a time t. Its Kinetic energy after an interval t is 

(1) F2t2m

(2) F2t22m

(3) F2t23m

(4) Ft2m

Subtopic:  Concept of Work |
 86%
From NCERT
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Two bodies of masses m and 4 m are moving with equal K.E. The ratio of their linear momentums is

(1) 4 : 1

(2) 1 : 1

(3) 1 : 2

(4) 1 : 4

Subtopic:  Concept of Work |
 78%
From NCERT
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A stationary particle explodes into two particles of masses m1 and m2 which move in opposite directions with velocities v1 and v2. The ratio of their kinetic energies E1/E2 is 

(1) m1/m2

(2) 1

(3) m1 v2/m2 v1

(4) m2/m1

Subtopic:  Collisions |
 71%
From NCERT
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A bomb of mass 3.0 Kg explodes in air into two pieces of masses 2.0 kg and 1.0 kg. The smaller mass goes at a speed of 80 m/s.The total energy imparted to the two fragments is 

(1) 1.07 kJ

(2) 2.14 kJ

(3) 2.4 kJ

(4) 4.8 kJ

Subtopic:  Collisions |
 79%
From NCERT
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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 different kinetic energies are E1 and E2 respectively. If m1 > m2 then 

(1) E1 < E2

(2) E1E2=m1m2

(3) E1 > E2

(4) E1 = E2

Subtopic:  Concept of Work |
 77%
From NCERT
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Four particles are given, having same momentum. Which one has maximum kinetic energy- 

(1) Proton

(2) Electron

(3) Deutron

(4) α-particles

Subtopic:  Concept of Work |
 74%
From NCERT
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An object of mass 3m splits into three equal fragments. Two fragments have velocities vj^ and vi^. The velocity of the third fragment is 

(1) v(j^i^)

(2) v(i^j^)

(3) v(i^+j^)

(4) v(i^+j^)2

Subtopic:  Collisions |
 68%
From NCERT
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A block of mass m initially at rest is dropped from a height h on to a spring of force constant k. The maximum compression in the spring is x then-

(1) mgh=12kx2

(2) mg(h+x)=12kx2

(3) mgh=12k(x+h)2

(4) mg(h+x)=12k(x+h)2

Subtopic:  Elastic Potential Energy |
 75%
From NCERT
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A spherical ball of mass 20 kg is stationary at the top of a hill of height 100 m. It slides down a smooth surface to the ground, then climbs up another hill of height 30 m and finally slides down to a horizontal base at a height of 20 m above the ground. The velocity attained by the ball is: 

1. \(10 \mathrm{~m} / \mathrm{s} \) 2. \(10 \sqrt{30} \mathrm{~m} / \mathrm{s} \)
3. \(40 \mathrm{~m} / \mathrm{s} \) 4. \(20 \mathrm{~m} / \mathrm{s}\)
Subtopic:  Conservation of Mechanical Energy |
 61%
From NCERT
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