K is the force constant of a spring. The work done in increasing its extension from l1 to l2 will be

(1) Kl2-l1                             

(2) K2l2+l1

(3) Kl22-l12                           

(4) K2l22-l12

Subtopic:  Elastic Potential Energy |
 88%
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A body of mass m1 moving with uniform velocity of 40 m/s collides with another mass m2 at rest and then the two together begin to move with uniform velocity of 30 m/s. The ratio of their masses m1m2 is

(1) 0.75

(2) 1.33

(3) 3.0

(4) 4.0

 80%
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A ball of mass m moving with a speed u undergoes a head-on elastic collision with a ball of mass nm initially at rest. The fraction of initial energy transferred to the heavier ball is

(1) n1+n

(2) n(1+n)2

(3) 2n(1+n)2

(4) 4n(1+n)2

Subtopic:  Collisions |
 51%
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A sphere of mass m moving horizontally with velocity v0 collides against a pendulum bob of mass m. If the two masses stick together after the collision, then the maximum height attained is

(1) v022g

(2) v024g

(3) v026g

(4) v028g

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If a body of mass m moving with velocity u collides head-on elastically  with another identical body at rest. After collision , velocity of the second body will be

(1) zero

(2) u

(3) 2u

(4) data insufficient

 

 84%
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A mass m moving horizontally (along the x-axis) with velocity v collides and sticks to mass of 3m moving vertically upward (along the y-axis) with velocity 2v. The final velocity of the combination is

(a) 14vi^+32vj^                                   

(b) 13vi^+23vj^

(c) 23vi^+13vj^                                   

(d) 32vi^+14vj^

 74%
From NCERT
NEET - 2011
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Two point masses 1 and 2 move with uniform velocities v1 and v2 respectively. Their initial position vectors are r1 and r2 respectively. Which of the following should be satisfied for the collision of the point masses ?

1. r2-r1r2+r1=v2+v1v2-v1

2. r2-r1r2-r1=v2-v1v2-v1

3. r2-r1r2+r1=v2-v1v2+v1

4. r2+r1r2+r1=v2-v1v2+v1

Subtopic:  Collisions |
 65%
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If length of string is l = 103m, TmaxTmin=4

where = Maximum tension in the string

Tmin=Minimum tension in the string.
Velocity at highest point is -

1.  10 m/s

2.  20 m/s

3.  102m/s

4.  103 m/s

Subtopic:  Work Energy Theorem |
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The points of maximum and minimum attraction in the curve between potential energy (U) and distance (r) of a diatomic molecules are respectively -

(a) Sand R

(b) T and S

(c) R and S

(d) S and T

Subtopic:  Potential Energy: Relation with Force |
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A body of mass 1 kg is thrown upwards with a velocity of 20 ms-1. It momentarily comes to rest after attaining a height of 18 m. How much energy is lost due to air friction? g=10 ms-2

1. 20 J

2. 30 J

3. 40 J

4. 10 J

Subtopic:  Work Energy Theorem |
 87%
From NCERT
NEET - 2009
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