A block of mass
is kept on a smooth horizontal surface and attached by a light thread to another block
of mass
. Block
is resting on ground, and thread and pulley are massless and frictionless. A bullet of mass
moving horizontally with velocity of
penetrates through block
and comes out with a velocity of 100 m/s
Column-I |
Column- II |
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(A) |
Velocity of the 2 kg block just after the bullet comes out |
(p) |
50/3 |
||||||
(B) |
Maximum displacements of 1 kg block in left direction |
(q) |
25 |
||||||
(C) |
Impulse by the string on block |
(r) |
25/3 |
||||||
(D) |
Impulse by the particle on block |
(s) |
5.2 |
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CODES : |
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|
A |
B |
C |
D |
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a) |
c |
d |
a |
b |
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|
|||
b) |
a |
b |
d |
c |
|
|
|||
c) |
b |
d |
a |
c |
|
|
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d) |
b |
a |
c |
d |
|
|
A block of mass
is kept on a smooth horizontal surface and attached by a light thread to another block
of mass
. Block
is resting on ground, and thread and pulley are massless and frictionless. A bullet of mass
moving horizontally with velocity of
penetrates through block
and comes out with a velocity of 100 m/s
Column-I |
Column- II |
||||||||
(A) |
Velocity of the 2 kg block just after the bullet comes out |
(p) |
50/3 |
||||||
(B) |
Maximum displacements of 1 kg block in left direction |
(q) |
25 |
||||||
(C) |
Impulse by the string on block |
(r) |
25/3 |
||||||
(D) |
Impulse by the particle on block |
(s) |
5.2 |
||||||
CODES : |
|||||||||
|
A |
B |
C |
D |
|
|
|||
a) |
c |
d |
a |
b |
|
|
|||
b) |
a |
b |
d |
c |
|
|
|||
c) |
b |
d |
a |
c |
|
|
|||
d) |
b |
a |
c |
d |
|
|
(a)
For bullet,
(i)
This is also impulse by particle on
For block (ii)
For block (iii)
From Eqs. (ii) and (iii), we get
Now applying the law of conservation of energy,