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Question
Physics
A gun applies a force F on a bullet which is given by F = (100 - 0.5 105 × t )N. The bullet emerges out with speed 400 m/s-1. Then find out the impulse exerted till force on bullet becomes zero
Q. A gun applies a force F on a bullet which is given by
F
=
(
100
−
0.51
0
5
×
t
)
N
. The bullet emerges out with speed
400
m
/
s
−
1
. Then find out the impulse exerted till force on bullet becomes zero
3396
234
AIIMS
AIIMS 2019
Laws of Motion
Report Error
A
0.2 N s
12%
B
0.3 N s
13%
C
0.1 N s
62%
D
0.4 N s
13%
Solution:
F = (100 - 0.5 × 10
5
t)N
Given F = 0
100 - 0.5 × 10
5
t = 0
100 = 0.5 × 10
5
t
T = 2 × 10
-3
sec
I =
∫
F dt
I =
∫
0
2
×
1
0
−
3
(100- 0.5 10
5
t)dt
I
=
[
100
t
−
2
1
0
5
2
t
2
]
0
2
×
1
0
−
3
I
=
[
100
×
2
×
1
0
−
3
−
4
1
0
5
×
4
×
1
0
−
6
]
I
=
[
2
×
1
0
−
1
−
1
0
−
1
]
I
=
1
0
−
1
=
0.1
N-s